Prof Jim Hill

School of Electrical and Mechanical Engineering

College of Engineering and Information Technology

Eligible to supervise Masters and PhD - email supervisor to discuss availability.

Available For Media Comment.


Year Citation
2025 Hill, J. M. (2025). A consistent extension of the Planck-de Broglie relations. Zeitschrift Fur Angewandte Mathematik Und Physik, 76(6, article no. 239), 1-15.
DOI Scopus1 WoS1
2025 Hill, J. M. (2025). Relativistic particle mechanics and Schrödinger’s quantum wave theory. Acta Mechanica, 237(4), 1857-1884.
DOI
2025 Hill, J. M. (2025). A Note on Schrödinger Operator Relations and Power-Law Energies. Symmetry, 17(11), 24 pages.
DOI
2025 Hill, J. M. (2025). Newtonian laws of motion and conservation principles. Mathematics and Mechanics of Solids, 30(2), 527-539.
DOI Scopus1 WoS1
2024 Hill, J. M. (2024). Functional forms for Lorentz invariant velocities. Mathematics, 12(11, article no. 1609), 1-8.
DOI Scopus6 WoS6
2024 Hill, J. M. (2024). Planar Lorentz invariant velocities with a wave equation application. Wave Motion, 130(103368), 1-10.
DOI Scopus2 WoS2
2024 Hill, J. M. (2024). Three-dimensional Lorentz-invariant velocities. Symmetry, 16(9, article no. 1133), 1-17.
DOI Scopus3 WoS3
2024 Hill, J. M. (2024). Lorentz invariants in particle-wave mechanical systems. Zeitschrift fur Angewandte Mathematik und Physik, 75(6), 1-13.
DOI
2024 Hill, J. M. (2024). Lorentz invariance in relativistic particle mechanics. Symmetry, 16(12, article no. 1691), 1-15.
DOI Scopus1 WoS1
2024 Hill, J. M., & Magyari, E. (2024). Correction to: Schwarzschild’s metric and the Landau–Lifshitz formulation of general relativity (Zeitschrift für angewandte Mathematik und Physik, (2023), 74, 6, (246), 10.1007/s00033-023-02140-4). Zeitschrift Fur Angewandte Mathematik Und Physik, 75(4), 3 pages.
DOI
2023 Louw, K. I., Bradshaw Hajek, B. H., & Hill, J. M. (2023). van der Waals interaction energies for ferric ion sensors using prismatic and cylindrical pore approximations for a MOF pore. Royal Society Open Science, 10(5, article no. 230232), 1-17.
DOI
2023 Bissaker, E. J., Orozovic, O., Meylan, M. H., Georgiou, F., Marsh, T. J., Hill, J. M., . . . Thamwattana, N. (2023). Pneumatic conveying. ANZIAM Journal, 63, 6-32.
DOI
2023 Bacsa, W., Topin, F., Miscevic, M., Hill, J. M., Huang, Y., & Ruoff, R. S. (2023). Probing elastic properties of graphene and heat conduction in graphene bubbles above 1000 °C. Physical Review B, 107(19, article no. 195433), 1-9.
DOI Scopus1 WoS1
2023 Hill, J. M. (2023). Schwarzschild's metric and the Landau-Lifshitz formulation of general relativity. Zeitschrift fur angewandte Mathematik und Physik, 74(6), 1-16.
DOI Scopus1 WoS1
2023 Hill, J. M., Spencer, A. J. M., & McCue, S. W. (2023). Axially symmetric continuum mechanical model for the oscillon. Mathematics and Mechanics of Solids, 28(1), 38-55.
DOI
2022 Hill, J. M. (2022). The symmetrical rate-equations of particle-wave mechanics. Zeitschrift Fur Angewandte Mathematik Und Physik, 73(6, article no. 237), 1-6.
DOI Scopus1 WoS1
2022 Xia, C., Jin, X., Garalleh, H. A. L., Garaleh, M., Wu, Y., Hill, J. M., & Pugazhendhi, A. (2022). Optimistic and possible contribution of nanomaterial on biomedical applications: a review. Environmental Research, 218(article no. 114921), 1-8.
DOI Scopus34 WoS31 Europe PMC12
2022 Xia, C., Liang, Y., Li, X., Garalleh, H. A., Garaleh, M., Hill, J. M., & Pugazhendhi, A. (2022). Remediation competence of nanoparticles amalgamated biochar (nanobiochar/nanocomposite) on pollutants: a review. Environmental Research, 218(article no. 114947), 1-11.
DOI Scopus31 WoS25 Europe PMC14
2022 Louw, K. I., Bradshaw Hajek, B. H., & Hill, J. M. (2022). Ferric ion diffusion for MOF-polymer composite with internal boundary sinks. Nanomaterials, 12(5, article no. 887), 1-19.
DOI Scopus1 WoS1 Europe PMC1
2022 Hill, J. M. (2022). Einstein's energy and space isotropy. Zeitschrift fur Angewandte Mathematik und Physik, 73(2, article no. 65), 1-9.
DOI Scopus2 WoS3
2022 Louw, K. I., Bradshaw Hajek, B. H., & Hill, J. M. (2022). Interaction of ferric ions with europium metal organic framework and application to mineral processing sensing. Philosophical Magazine, 102(13), 1231-1246.
DOI Scopus4 WoS3
2022 Hill, J. M., Bhattacharya, D., & Wu, W. (2022). Bagnold velocity profile for steady-state dense granular chute flow with base slip. Rheologica Acta, 61(3), 207-214.
DOI Scopus8 WoS8
2021 Hill, J. M. (2021). Four states of matter and centrally symmetric de Broglie particle-wave mechanical systems. Mathematics and Mechanics of Solids, 26(2), 263-284.
DOI Scopus3 WoS2
2021 Hill, J. M., Bhattacharya, D., & Wu, W. (2021). Steady-state similarity velocity profiles for dense granular flow down inclined chutes. Granular Matter, 23(2, article no. 27), 1-11.
DOI Scopus2 WoS1
2021 Hill, J. M. (2021). A mechanical model for dark matter and dark energy. Zeitschrift fur Angewandte Mathematik und Physik, 72(2, article no 56), 1-14.
DOI Scopus3 WoS2
2021 Ruland, A., Hill, J. M., & Wallace, G. G. (2021). Reference phantom method for ultrasonic imaging of thin dynamic constructs. Ultrasound in Medicine and Biology, 47(8), 2388-2403.
DOI Scopus6 WoS6 Europe PMC4
2020 Stevens, K., Tran-Duc, T., Thamwattana, N., & Hill, J. M. (2020). Modeling interactions between graphene and heterogeneous molecules. Computation, 8(4), 1-13.
DOI Scopus4 WoS4
2020 Putthikorn, S., Tran-Duc, T., Thamwattana, N., Hill, J. M., & Baowan, D. (2020). Interacting Ru(bpy)2+ 3 dye molecules and TiO2 semiconductor in dye-sensitized solar cells. Mathematics, 8(5), 18 pages.
DOI Scopus1 WoS1
2020 Hill, J. M. (2020). A review of de Broglie particle-wave mechanical systems. Mathematics and Mechanics of Solids, 25(10), 1763-1777.
DOI Scopus5 WoS4
2019 Hill, J. M. (2019). Some further comments on special relativity and dark energy. Zeitschrift für angewandte mathematik und physik, 70(1, article no. 5), 1-9.
DOI Scopus10 WoS9
2019 Sarapat, P., Baowan, D., & Hill, J. M. (2019). Optimal configurations for interacting carbon nanotori. Applied nanoscience, 9(2), 225-232.
DOI Scopus2 WoS2
2019 Sarapat, P., Hill, J. M., & Baowan, D. (2019). Mechanics of atoms interacting with a carbon nanotorus: optimal configuration and oscillation behaviour. Philosophical magazine, 99(11), 1386-1399.
DOI Scopus4 WoS4
2019 Sarapat, P., Hill, J. M., & Baowan, D. (2019). A review of geometry, construction and modelling for carbon nanotori. Applied sciences, 9(11, article no. 2301), 1-20.
DOI Scopus23 WoS22
2019 Hill, J. M. (2019). Special relativity, de Broglie waves, dark energy and quantum mechanics. Zeitschrift fur Angewandte Mathematik und Physik, 70(4, article no. 131), 1-22.
DOI Scopus6 WoS5
2019 Baowan, D., Ruengrot, P., Hill, J. M., & Bacsa, W. (2019). The effect of non-covalent functionalization on the interaction energy of carbon nanotubes. Journal of Physics Communications, 3(3, article no. 035018), 1-9.
DOI Scopus4 WoS2
2018 Baowan, D., Hill, J. M., & Bacsa, W. (2018). Continuous approximation for interaction energy of adamantane encapsulated inside carbon nanotubes. Chemical physics letters, 693, 34-39.
DOI Scopus1 WoS1
2018 Ordonez Miranda, J., Hill, J. M., Joulain, K., Ezzahri, Y., & Drevillon, J. (2018). Conductive thermal diode based on the thermal hysteresis of VO₂ and nitinol. Journal of applied physics, 123(8, article no. 085102), 1-6.
DOI Scopus43 WoS42
2018 Hill, J. M., & O'Leary, J. (2018). Generalized transformations and coordinates for static spherically symmetric general relativity. Royal Society Open Science, 5(4), 1-9.
DOI Scopus4 WoS2
2018 Sarapat, P., Baowan, D., & Hill, J. M. (2018). Interaction energy for a fullerene encapsulated in a carbon nanotorus. Zeitschrift fur Angewandte Mathematik und Physik, 69(3, article no. 77), 1-14.
DOI Scopus8 WoS9
2018 O'Leary, J., Hill, J. M., & Bennett, J. C. (2018). On the energy integral for first post-Newtonian approximation. Celestial mechanics and dynamical astronomy, 130(7, article no. 44), 1-9.
DOI Scopus3 WoS3
2018 Sarapat, P., Baowan, D., & Hill, J. M. (2018). Equilibrium location for spherical DNA and toroidal cyclodextrin. Applied nanoscience, 8(3), 537-544.
DOI Scopus5 WoS5
2018 Hill, J. M., & Stokes, Y. M. (2018). A note on navier-stokes equations with nonorthogonal coordinates. ANZIAM Journal, 59(3), 335-348.
DOI Scopus7 WoS6
2018 Cox, B., & Hill, J. (2018). Carbon nanocones with curvature effects close to the vertex. Nanomaterials, 8(8), 624-1-624-12.
DOI Scopus6 WoS6 Europe PMC1
2018 Alshammari, N., Thamwattana, N., McCoy, J., Baowan, D., Cox, B., & Hill, J. (2018). Modelling joining of various carbon nanostructures using calculus of variations. Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 25(5), 307-339.
Scopus7
2018 Hill, J. M. (2018). Combining Newton's second law and de Broglie's particle-wave duality. Results in physics, 8, 121-127.
DOI Scopus5 WoS4
2018 O'Leary, J., & Hill, J. M. (2018). Post-Newtonian satellite orbits. Astrophysics and space science, 363(10, article no. 211), 1-6.
DOI
2018 Hill, J. M. (2018). On the formal origins of dark energy. Zeitschrift Fur Angewandte Mathematik Und Physik, 69(5, article no. 133), 1-13.
DOI Scopus12 WoS11
2018 Sajadi, S. M., Ordonez-Miranda, J., Hill, J. M., Ezzahri, Y., Joulain, K., & Ghasemi, H. (2018). Reply to the Comment by Hamou Sadat et al.. Epl, 123(5), 1 page.
DOI
2017 Alshehri, M. H., & Hill, J. M. (2017). Suction energy for double-stranded DNA inside single-walled carbon nanotubes. Quarterly journal of mechanics and applied mathematics, 70(4), 387-400.
DOI Scopus6 WoS6
2017 Sajadi, S. M., Ordonez Miranda, J., Hill, J. M., Ezzahri, Y., Joulain, K., & Ghasemi, H. (2017). Invariant for one-dimensional heat conduction in dielectrics and metals. Europhysics letters, 118(3, article no. 34001), 1-5.
DOI Scopus2 WoS2
2016 Hill, J., & Cox, B. (2016). Generalised Einstein mass-variation formulae: II Superluminal relative frame velocities. Results in Physics, 6, 122-130.
DOI Scopus1
2016 Hill, J., & Cox, B. (2016). Generalised Einstein mass-variation formulae: I Subluminal relative frame velocities. Results in Physics, 6, 112-121.
DOI Scopus2
2016 Sumetpipat, K., Baowan, D., Cox, B., & Hill, J. (2016). Mathematical methods on atomic force microscope cantilever systems. RSC Advances, 6(52), 46658-46667.
DOI Scopus5 WoS5
2016 Al Garalleh, H., Thamwattana, N., Cox, B., & Hill, J. (2016). Encapsulation of L-Histidine amino acid inside single-walled carbon nanotubes. Journal of Biomaterials and Tissue Engineering, 6(5), 362-369.
DOI Scopus10 WoS10
2016 Baowan, D., & Hill, J. M. (2016). Mathematical modeling of interaction energies between nanoscale objects: a review of nanotechnology applications. Advances in mechanical engineering, 8(11, article no. 1687814016677022), 1-16.
DOI Scopus12 WoS11
2016 Sumetpipat, K., Baowan, D., & Hill, J. M. (2016). Modelling packing arrangements of doxorubicin in liposomal molecules. Journal of computational and theoretical nanoscience, 13(11), 8241-8248.
DOI Scopus1
2015 Lee, R. K. F., & Hill, J. M. (2015). Design of a nanotori-metallofullerene logic gate. ANZIAM journal, 57(1), 29-42.
DOI
2015 Al Garalleh, H., Thamwattana, N., Cox, B., & Hill, J. (2015). Interaction of individual ions, ion-water clusters with aquaglyceroporin and aquaporin-1 channels. Journal of Computational and Theoretical Nanoscience, 12(8), 1505-1511.
DOI
2015 Cox, B., Baowan, D., Bacsa, W., & Hill, J. (2015). Relating elasticity and graphene folding conformation. RSC Advances, 5(71), 57515-57520.
DOI Scopus23 WoS23
2015 Alshehri, M., Cox, B., & Hill, J. (2015). Energy behaviour for DNA translocation through graphene nanopores. Journal of Theoretical Biology, 387, 68-75.
DOI Scopus4 WoS4 Europe PMC1
2015 Baowan, D., Cox, B., & Hill, J. (2015). Instability of carbon nanoparticles interacting with lipid bilayers. RSC Advances, 5(8), 5508-5515.
DOI Scopus7 WoS5
2015 Al Garalleh, H., Thamwattana, N., Cox, B., & Hill, J. (2015). Modeling interactions between C60 antiviral compounds and HIV protease. Bulletin of Mathematical Biology, 77(1), 184-201.
DOI Scopus12 WoS10 Europe PMC4
2015 Bunder, J., & Hill, J. (2015). General model for diffusive growth of nanostructures. IMA Journal of Applied Mathematics, 80(2), 235-254.
DOI
2014 Hill, J., & Cox, B. (2014). Dual universe and hyperboloidal relative velocity surface arising from extended special relativity. Zeitschrift fur Angewandte Mathematik und Physik, 65(6), 1251-1260.
DOI Scopus10 WoS9
2014 Sumetpipat, K., Lee, R., Cox, B., Hill, J., & Baowan, D. (2014). Carbon nanotori and nanotubes encapsulating carbon atomic-chains. Journal of Mathematical Chemistry, 52(7), 1817-1830.
DOI Scopus8 WoS8
2014 Alshehri, M., Cox, B., & Hill, J. (2014). Determination of optimal nanotube radius for single-strand deoxyribonucleic acid encapsulation. Micro and Nano Letters, 9(2), 113-118.
DOI Scopus6 WoS7
2014 Padukka, N., & Hill, J. (2014). Rippling of long rectangular rubber blocks under bending. Mathematics and Mechanics of Solids, 19(3), 308-317.
DOI Scopus2
2014 Alshehri, M., Cox, B., & Hill, J. (2014). C60 fullerene binding to DNA. European Physical Journal B, 87(199), 1-11.
DOI Scopus6 WoS6
2014 Alshehri, M., Cox, B., & Hill, J. (2014). Offset configurations for single- and double-strand DNA inside single-walled carbon nanotubes. European Biophysics Journal With Biophysics Letters, 43(1), 25-33.
DOI Scopus3 WoS3 Europe PMC1
2013 Garalleh, H., Thamwattana, N., Cox, B., & Hill, J. (2013). Modelling van der Waals interaction between water molecules and biological channels. Journal of Computational and Theoretical Nanoscience, 10(11), 2722-2731.
DOI Scopus7 WoS6
2013 Alshehri, M., Cox, B., & Hill, J. (2013). DNA adsorption on graphene. European Physical Journal D, 67(11), 1-9.
DOI Scopus11 WoS13
2013 Baowan, D., Cox, B., & Hill, J. (2013). Determination of join regions between carbon nanostructures using variational calculus. The ANZIAM Journal, 54(4), 221-247.
DOI Scopus12 WoS9
2013 Garalleh, H., Thamwattana, N., Cox, B., & Hill, J. (2013). Modelling carbon dioxide molecule interacting with aquaglyceroporin and aquaporin-1 channels. Journal of Mathematical Chemistry, 51(9), 2317-2327.
DOI Scopus3 WoS2
2013 Garalleh, H., Thamwattana, N., Cox, B., & Hill, J. (2013). Modelling interaction between ammonia and nitric oxide molecules and aquaporins. Journal of Mathematical Chemistry, 51(8), 2020-2032.
DOI Scopus10 WoS9
2013 Lim, W., Thornton, A., Hill, A., Cox, B., Hill, J., & Hill, M. (2013). High performance hydrogen storage from Be-BTB metal-organic framework at room temperature. Langmuir, 29(27), 8524-8533.
DOI Scopus51 WoS45 Europe PMC7
2013 Rahmat, F., Thamwattana, N., & Hill, J. (2013). Modelling Lennard-Jones interactions between two peptide rings. Journal of Computational and Theoretical Nanoscience, 10(4), 775-782.
DOI Scopus1 WoS1
2013 Thornton, A., Furman, S., Nairn, K., Hill, A., Hill, J., & Hill, M. (2013). Analytical representation of micropores for predicting gas adsorption in porous materials. Microporous and Mesoporous Materials, 167, 188-197.
DOI Scopus23 WoS20
2013 Chan, Y., & Hill, J. (2013). Ion selectivity using membranes comprising functionalized carbon nanotubes. Journal of Mathematical Chemistry, 51(5), 1258-1273.
DOI Scopus32 WoS25
2012 Hill, J., & Cox, B. (2012). Einstein's special relativity beyond the speed of light. Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, 468(2148), 4174-4192.
DOI Scopus41 WoS37
2012 Alshehri, M., Cox, B., & Hill, J. (2012). Interaction of double-stranded DNA inside single-walled carbon nanotubes. Journal of Mathematical Chemistry, 50(9), 2512-2526.
DOI Scopus7 WoS9
2012 Konstas, K., Taylor, J., Thornton, A., Doherty, C., Lim, W., Bastow, T., . . . Hill, M. (2012). Lithiated porous aromatic frameworks with exceptional gas storage capacity. Angewandte Chemie-International Edition, 51(27), 6639-6642.
DOI Scopus135 WoS132 Europe PMC54
2012 Chan, Y., Cox, B., & Hill, J. (2012). Carbon nanotori as traps for atoms and ions. Physica B, 407(17), 3479-3483.
DOI Scopus27 WoS26
2012 Lee, K., & Hill, J. (2012). General formulae for interacting spherical nanoparticles and fullerenes. Journal of Mathematical Chemistry, 50(5), 1289-1303.
DOI Scopus4 WoS4
2012 Adisa, O., Cox, B., & Hill, J. (2012). Methane storage in molecular nanostructures. Nanoscale, 4(11), 3295-3307.
DOI Scopus27 WoS24 Europe PMC4
2012 Baowan, D., Cox, B., & Hill, J. (2012). Instability of C(60) fullerene interacting with lipid bilayer. Journal of Molecular Modeling, 18(2), 549-557.
DOI Scopus30 WoS28 Europe PMC5
2012 Chan, Y., & Hill, J. (2012). Modeling on ion rejection using membranes comprising ultra-small radii carbon nanotubes. European Physical Journal B, 85(2), 56-62.
DOI Scopus31 WoS24
2012 Bunder, J., & Hill, J. (2012). Geometric influence on Ruderman-Kittel-Kasuya-Yosida interactions in zigzag carbon nanotubes. Journal of Chemical Physics, 136(15), 154504-1-154504-6.
DOI Scopus7 WoS5
2012 Baowan, D., Cox, B., & Hill, J. (2012). Modeling the join curve between two co-axial carbon nanotubes. Zeitschrift fur Angewandte Mathematik und Physik, 63(2), 331-338.
DOI Scopus9 WoS7
2012 Adisa, O., Cox, B., & Hill, J. (2012). Methane storage in spherical fullerenes. Journal of Nanotechnology in Engineering and Medicine, 3(4), 041002-1-041002-4.
DOI Scopus7
2012 Lee, R. K. F., & Hill, J. M. (2012). Composite multiwalled carbon nanotubes as memory devices and logic gates. Journal of Nanotechnology in Engineering and Medicine, 3(1), 1-6.
DOI Scopus1
2011 Baowan, D., Cox, B., & Hill, J. (2011). Equilibrium configurations for carbon nano-stacked cups. Journal of Computational and Theoretical Nanoscience, 8(4), 616-623.
DOI Scopus1 WoS1
2011 Adisa, O., Cox, B., & Hill, J. (2011). Packing configurations for methane storage in carbon nanotubes. European Physical Journal B, 79(2), 177-184.
DOI Scopus11 WoS9
2011 Baowan, D., Cox, B., & Hill, J. (2011). Modelling the joining of nanocones and nanotubes. Journal of Mathematical Chemistry, 49(2), 475-488.
DOI Scopus11 WoS9
2011 Adisa, O., Cox, B., & Hill, J. (2011). Encapsulation of methane molecules into carbon nanotubes. Physica B, 406(1), 88-93.
DOI Scopus31 WoS29
2011 Lee, R., & Hill, J. (2011). Nanocomputing memory devices formed from carbon nanotubes and metallofulleres. International Journal of Mathematical and Computational Sciences, 5(12), 2116-2119.
2011 Lee, K., Cox, B., & Hill, J. (2011). General rolled-up and polyhedral models for carbon nanotubes. Fullerenes, Nanotubes, and Carbon Nanostructures, 19(8), 726-748.
DOI Scopus6 WoS6
2011 Lee, K., Cox, B., & Hill, J. (2011). Asymmetrical oscillatory motion of atoms and fullerenes though open single-walled carbon nanocones. The Quarterly Journal of Mechanics and Applied Mathematics, 64(4), 441-453.
DOI Scopus8 WoS8
2011 Adisa, O., Cox, B., & Hill, J. (2011). Open carbon nanocones as candidates for gas storage. The Journal of Physical Chemistry Part C: Nanomaterials and Interfaces, 115(50), 24528-24533.
DOI Scopus39 WoS35
2011 Chan, Y., Thamwattana, N., & Hill, J. (2011). Axial buckling of multi-walled carbon nanotubes and nanopeapods. European Journal of Mechanics A-Solids, 30(6), 794-806.
DOI Scopus31 WoS22
2011 Chan, Y., & Hill, J. (2011). Dynamics of benzene molecules situated in metal-organic frameworks. Journal of Mathematical Chemistry, 49(10), 2190-2209.
DOI Scopus7 WoS7
2011 Lee, R., & Hill, J. (2011). Design parameters for carbon nanobottles to absorb and store methane. Journal of Nanoscience & Nanotechnology, 11(8), 6893-6903.
DOI Scopus6 WoS5
2011 Chan, Y., & Hill, J. (2011). Hydrogen storage inside graphene-oxide frameworks. Nanotechnology, 22(30), 305403-1-305403-8.
DOI Scopus66 WoS54 Europe PMC9
2011 Cox, B., & Hill, J. (2011). Flow through a circular tube with a permeable Navier slip boundary. Nanoscale Research Letters, 6(389), 1-9.
DOI Scopus24 WoS17 Europe PMC3
2011 Tran-Duc, T., Thamwattana, N., Cox, B., & Hill, J. (2011). Encapsulation of a benzene molecule into a carbon nanotube. Computational Materials Science, 50(9), 2720-2726.
DOI Scopus13 WoS10
2011 Chan, Y., & Hill, J. (2011). Lithium ion storage between graphenes. Nanoscale Research Letters, 6(1), 203-1-203-6.
DOI Scopus24 WoS22 Europe PMC6
2011 Adisa, O., Cox, B., & Hill, J. (2011). Modelling the surface adsorption of methane on carbon nanostructures. Carbon, 49(10), 3212-3218.
DOI Scopus27 WoS26
2011 Cox, B., & Hill, J. (2011). Geometric polyhedral models for nanotubes comprising hexagonal lattices. Journal of Computational and Applied Mathematics, 235(13 Sp Iss), 3943-3952.
DOI Scopus8 WoS6
2011 Chan, Y., & Hill, J. (2011). A mechanical model for single-file transport of water through carbon nanotube membranes. Journal of Membrane Science, 372(1-2), 57-65.
DOI Scopus29 WoS26
2011 Tran-Duc, T., Thamwattana, N., & Hill, J. (2011). Orientation of a benzene molecule inside a carbon nanotube. Journal of Mathematical Chemistry, 49(6), 1115-1127.
DOI Scopus13 WoS14
2011 Chan, Y., Lee, K., & Hill, J. (2011). Metallofullerenes in composite carbon nanotubes as a nanocomputing memory device. IEEE Transactions on Nanotechnology, 10(5), 947-952.
DOI Scopus36 WoS84
2010 Tran-Duc, T., Thamwattana, N., Cox, B., & Hill, J. (2010). Modelling the interaction in a benzene dimer. Philosophical Magazine: Structure and Properties of Condensed Matter, 90(13), 1771-1785.
DOI Scopus12 WoS9
2010 Tran-Duc, T., Thamwattana, N., Cox, B., & Hill, J. (2010). Adsorption of polycyclic aromatic hydrocarbons on graphite surfaces. Computational Materials Science, 49(4), S307-S312.
DOI Scopus21 WoS20
2010 Baowan, D., Cox, B., & Hill, J. (2010). Discrete and continuous approximations for nanobuds. Fullerenes, Nanotubes, and Carbon Nanostructures, 18(2), 160-177.
DOI Scopus12 WoS8
2010 Baowan, D., Cox, B., & Hill, J. (2010). Dislodgement of carbon nanotube bundles under pressure driven flow. Nanotechnology, 21(15), 1-7.
DOI Scopus4 WoS2
2010 Chan, Y., Thamwattana, N., & Hill, J. (2010). Force-extension formula for the worm-like chain model from a variational principle. Journal of Theoretical Biology, 262(3), 498-504.
DOI Scopus14 Europe PMC7
2010 Chan, Y., & Hill, J. (2010). Some novel plane trajectories for carbon atoms and fullerenes captured by two fixed parallel carbon nanotubes. European Physical Journal D, 59(3), 367-374.
DOI Scopus1
2010 Chan, Y., & Hill, J. (2010). Modelling interaction of atoms and ions with graphene. Micro and Nano Letters, 5(5), 247-250.
DOI Scopus43
2010 Lee, K., & Hill, J. (2010). Design of a two-state shuttle memory device. Computers, Materials and Continua, 20(1), 85-99.
DOI Scopus6 WoS5
2010 Adisa, O., Cox, B., & Hill, J. (2010). Encapsulation of methane in nanotube bundles. Micro and Nano Letters, 5(5), 291-295.
DOI Scopus27 WoS25
2010 Rahmat, F., Thamwattana, N., & Hill, J. (2010). Carbon nanotube oscillators for applications as nanothermometers. Journal of Physics A: Mathematical and Theoretical (Print Edition), 43(40), 1-26.
DOI Scopus5 WoS3
2010 Bunder, J., & Hill, J. (2010). Electronic properties of carbon nanotubes with distinct bond lengths. Journal of Applied Physics, 107(2), 023511-1-023511-5.
DOI Scopus2 WoS3
2010 Thamwattana, N., Hill, J., Baowan, D., & Cox, B. (2010). A review of mathematical and mechanical modelling in nanotechnology. Mathematics and Mechanics of Solids, 15(7), 707-718.
DOI Scopus2 WoS2
2010 Thamwattana, N., Cox, B., & Hill, J. (2010). Editorial: Special Issue on Mathematics and Mechanics in Nanotechnology. Mathematics and Mechanics of Solids, 15(7), 707.
DOI
2010 Lee, K., Cox, B., & Hill, J. (2010). The geometric structure of single-walled nanotubes. Nanoscale, 2(6), 859-872.
DOI Scopus36 WoS32 Europe PMC8
2010 Lee, K., Cox, B., & Hill, J. (2010). Silicon nanotubes with distinct bond lengths. Journal of Mathematical Chemistry, 47(2), 569-589.
DOI Scopus8 WoS6
2010 Tran-Duc, T., Thamwattana, N., Cox, B., & Hill, J. (2010). General model for molecular interactions in a benzene dimer. Mathematics and Mechanics of Solids, 15(7), 782-799.
DOI Scopus7 WoS7
2010 Thamwattana, N., Hill, J. M., Baowan, D., & Cox, B. (2010). A review of mathematical and mechanical modelling in nanotechnology. Mathematics and Mechanics of Solids, 15(7), 708-717.
2009 Chan, Y., Thamwattana, N., & Hill, J. M. (2009). Magnetic field driven nano tippe top. Journal of Computational and Theoretical Nanoscience, 1013(5), 6-1020.
2009 Bunder, J., & Hill, J. M. (2009). Diffusive growth of fullerenes and carbon nanotubes. Journal of Chemical Physics, 1-5.
2009 Chan, Y., Thamwattana, N., & Hill, J. (2009). Magnetic field driven nano tippe top. Journal of Computational and Theoretical Nanoscience, 6(5), 1013-1020.
DOI Scopus2
2009 Chan, Y., Thamwattana, N., Cox, G., & Hill, J. (2009). Mechanics of nanoscale orbiting systems. Journal of Mathematical Chemistry, 46(4), 1271-1291.
DOI Scopus4
2009 Chan, Y., Cox, G., Haverkamp, R., & Hill, J. (2009). Mechanical model for a collagen fibril pair in extracellular matrix. European Biophysics Journal With Biophysics Letters, 38(4), 487-493.
DOI Scopus14 Europe PMC7
2009 Chan, Y., Thamwattana, N., & Hill, J. (2009). Restricted Three Body Problems at the Nanoscale. Few-Body Systems, 46(4), 239-247.
DOI Scopus4
2009 Chan, Y., Thamwattana, N., & Hill, J. (2009). Spiral motion of carbon atoms and C60 fullerenes inside single-walled carbon nanotubes. International Journal of Theoretical and Applied Multiscale Mechanics, 1(2), 176-193.
2009 Lee, K., Cox, B., & Hill, J. (2009). An exact polyhedral model for boron nanotubes. Journal of Physics A: Mathematical and Theoretical (Print Edition), 42(6, article no. 065204), 1-23.
DOI Scopus28 WoS23
2009 Lee, K., Cox, B., & Hill, J. (2009). An idealized polyhedral model and geometric structure for silicon nanotubes. Journal of Physics-Condensed Matter, 21(7), 2-13.
DOI Scopus14 WoS12
2009 Thamwattana, N., Cox, B., & Hill, J. (2009). Oscillation of carbon molecules inside carbon nanotube bundles. Journal of Physics-Condensed Matter, 21(14), 1-7.
DOI Scopus18 WoS11 Europe PMC1
2009 Lee, K., Cox, B., & Hill, J. (2009). Ideal polyhedral model for boron nanotubes with distinct bond lengths. The Journal of Physical Chemistry Part C: Nanomaterials and Interfaces, 113(46), 19794-19805.
DOI Scopus21 WoS17
2009 Broadbridge, P., Triadis, D., & Hill, J. (2009). Infiltration from supply at constant water content: an integrable model. Journal of Engineering Mathematics, 64(2), 193-206.
DOI Scopus13
2009 Thamwattana, N., & Hill, J. (2009). Nanotube bundle oscillators: Carbon and boron nitride nanostructures. Physica B, 404(21), 3906-3910.
DOI Scopus26
2009 Hill, J., Spencer, A., & McCue, S. (2009). Application of a continuum theory to vertical vibrations of a layer of granular material. International Journal of Engineering Science, 47(11-12), 1216-1231.
DOI Scopus2
2009 Bunder, J., & Hill, J. (2009). Diffusive growth of fullerenes and carbon nanotubes. Journal of Chemical Physics, 131(24), 244703-1-244703-5.
DOI Scopus3 WoS3
2009 Hilder, T., & Hill, J. (2009). Modeling the loading and unloading of drugs into nanotubes. Small, 5(3), 300-308.
DOI Scopus129 Europe PMC50
2009 Hilder, T., & Hill, J. (2009). Maximum velocity for a single water molecule entering a carbon nanotube. Journal of Nanoscience & Nanotechnology , Volume: 9 Issue: 2 Special Issue, 9(2), 1403-1407.
DOI Scopus11
2009 McCue, S., Wu, B., & Hill, J. (2009). Micro/nanoparticle melting with spherical symmetry and surface tension. IMA Journal of Applied Mathematics, 74(3), 439-457.
DOI Scopus33
2009 Bunder, J., & Hill, J. (2009). Zigzag carbon nanotubes with generic electron-electron interactions. Physical Review B (Condensed Matter and Materials Physics), 80(15), 1-4.
DOI Scopus7 WoS5
2009 Thamwattana, N., Baowan, D., & Hill, J. (2009). Continuum modelling for interactions between fullerenes and other carbon nanostructures. Journal of Computational and Theoretical Nanoscience, 6(5), 972-984.
DOI Scopus12
2009 Matthews, M., & Hill, J. (2009). On three simple experiments to determine slip lengths. Microfluidics and Nanofluidics, 6(5), 611-619.
DOI Scopus10
2009 Matthews, M., & Hill, J. (2009). Asymptotic analysis of the viscous micro/nano pump at low Reynolds number. Journal of Engineering Mathematics, 63(2-4), 279-292.
DOI Scopus5
2009 Bunder, J., & Hill, J. (2009). Electronic properties of silicon nanotubes with distinct bond lengths. Physical Review B (Condensed Matter and Materials Physics), 79(23), online (4 pages).
DOI Scopus12 WoS12
2009 Wu, B., McCue, S., Tillman, P., & Hill, J. (2009). Single phase limit for melting nanoparticles. Applied Mathematical Modelling, 33(5), 2349-2367.
DOI Scopus34
2009 Wu, B., Tillman, P., McCue, S., & Hill, J. (2009). Nanoparticle melting as a stefan moving boundary problem. Journal of Nanoscience & Nanotechnology, 9(2), 885-888.
DOI Scopus18
2009 Thornton, A., Hilder, T., Hill, A., & Hill, J. (2009). Predicting gas diffusion regime within pores of different size, shape and composition. Journal of Membrane Science, 336(1-2), 101-108.
DOI Scopus78
2009 Thornton, A., Nairn, K., Hill, J., Hill, A., & Hill, M. (2009). Metal-Organic Frameworks Impregnated with Magnesium-Decorated Fullerenes for Methane and Hydrogen Storage. Journal of the American Chemical Society, 131(30), 10662-10669.
DOI Scopus142
2009 Thornton, A., Nairn, K., Hill, A., Hill, J., & Huang, Y. (2009). New relation between diffusion and free volume: II. Predicting vacancy diffusion. Journal of Membrane Science, 338(1-2), 38-42.
DOI Scopus32
2009 Thornton, A., Nairn, K., Hill, A., & Hill, J. (2009). New relation between diffusion and free volume: I. Predicting gas diffusion. Journal of Membrane Science, 338(1-2), 29-37.
DOI Scopus79
2008 McCue, S., Wu, B., & Hill, J. (2008). Classical two-phase Stefan problem for spheres. Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, 464(2096), 2055-2076.
DOI Scopus96
2008 Edwards, M., Hill, J., & Selvadurai, A. (2008). Lie group symmetry analysis of transport in porous media with variable transmissivity. Journal of Mathematical Analysis and Applications, 341(2), 906-921.
DOI Scopus11
2008 Hilder, T., & Hill, J. (2008). Theoretical comparison of nanotube materials for drug delivery. Micro and Nano Letters, 3(1), 18-24.
DOI Scopus52
2008 Hilder, T., & Hill, J. (2008). Probability of encapsulation of paclitaxel and doxorubicin into carbon nanotubes. Micro and Nano Letters, 3(2), 41-49.
DOI Scopus44
2008 Hilder, T., & Hill, J. (2008). Double-Walled Carbon Nanotubes as Nanosyringes. Journal of Computational and Theoretical Nanoscience, 5(11), 2153-2159.
DOI Scopus7
2008 Hilder, T., & Hill, J. (2008). Carbon nanotubes as drug delivery nanocapsules. Current Applied Physics, 8(3-4), 258-261.
DOI Scopus147
2008 Cox, B., Hilder, T., Baowan, D., Thamwattana, N., & Hill, J. (2008). Continuum modelling of gigahertz nano-oscillators. International Journal of Nanotechnology, 5(2-3), 195-217.
DOI Scopus9 WoS6
2008 Cox, B., Thamwattana, N., & Hill, J. (2008). Mathematical modelling of electrorheological nanofluids. International Journal of Nanotechnology, 5(2-3), 243-276.
DOI Scopus1
2008 Cox, B., Thamwattana, N., & Hill, J. (2008). Mechanics of nanotubes oscillating in carbon nanotube bundles. Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, 464(2091), 691-710.
DOI Scopus46 WoS34
2008 Cox, B., Thamwattana, N., & Hill, J. (2008). Spherical and spheroidal fullerenes entering carbon nanotubes. Current Applied Physics, 8(3-4), 249-252.
DOI Scopus17 WoS14
2008 Baowan, D., Cox, B., & Hill, J. (2008). Junctions between a boron nitride nanotube and a boron nitride sheet. Nanotechnology, 19(7), 2-13.
DOI Scopus19 WoS15 Europe PMC3
2008 Cox, B., & Hill, J. (2008). A variational approach to the perpendicular joining of nanotubes to plane sheets. Journal of Physics A: Mathematical and Theoretical (Print Edition), 41(12), 2-12.
DOI Scopus26 WoS19
2008 Cox, B., & Hill, J. (2008). Geometric structure of ultra-small carbon nanotubes. Carbon, 46(4), 711-713.
DOI Scopus24 WoS22
2008 Cox, B., Thamwattana, N., & Hill, J. (2008). Orientation of spheroidal fullerenes inside carbon nanotubes with potential applications as memory devices in nano-computing. Journal of Physics A: Mathematical and Theoretical (Print Edition), 41(23), 2-28.
DOI Scopus29 WoS22
2008 Baowan, D., Cox, B., & Hill, J. (2008). Toroidal molecules formed from three distinct carbon nanotubes. Journal of Mathematical Chemistry, 44(2), 515-527.
DOI Scopus9 WoS8
2008 Cox, B., & Hill, J. (2008). Geometric model for boron nitride nanotubes incorporating curvature. The Journal of Physical Chemistry Part C: Nanomaterials and Interfaces, 112(42), 16248-16255.
DOI Scopus10 WoS10
2008 Baowan, D., Cox, B., & Hill, J. (2008). A continuous model for the joining of two fullerenes. Philosophical Magazine Letters, 88(23), 2953-2964.
DOI Scopus15 WoS10
2008 Thamwattana, N., McCoy, J., & Hill, J. (2008). Energy density functions for protein folding structures. The Quarterly Journal of Mechanics and Applied Mathematics, 61(3), 431-451.
DOI Scopus32
2008 Thamwattana, N., & Hill, J. (2008). Oscillation of nested fullerenes (carbon onions) in carbon nanotubes. Journal of Nanoparticle Research, 10(4), 665-677.
DOI Scopus25
2008 Thamwattana, N., & Hill, J. (2008). Comment on "General equilibrium shape equations of polymer chains". Physical Review E. (Statistical, Nonlinear, and Soft Matter Physics), 78(1), 013901-1-013901-5.
DOI Scopus11
2008 Matthews, M., & Hill, J. (2008). Nanofluidics and the Navier boundary condition. International Journal of Nanotechnology, 5(2-3), 218-242.
DOI Scopus16
2008 Matthews, M., & Hill, J. (2008). Lubrication analysis of the viscous micro/nano pump with slip. Microfluidics and Nanofluidics, 4(5), 439-449.
DOI Scopus14
2008 Matthews, M., & Hill, J. (2008). Effect of slip on the linear stability of flow through a tube. Zeitschrift fur Angewandte Mathematik und Physik, 59(2), 360-379.
DOI Scopus5
2008 Matthews, M., & Hill, J. (2008). A note on the boundary layer equations with linear slip boundary condition. Applied Mathematics Letters, 21(8), 810-813.
DOI Scopus42
2008 Cox, G., Thamwattana, N., McCue, S., & Hill, J. (2008). Coulomb-Mohr Granular Materials: Quasi-static Flows and the Highly Frictional Limit. Applied Mechanics Reviews, 61(6), online (23 pages).
DOI Scopus22
2008 Baowan, D., Thamwattana, N., & Hill, J. (2008). Suction energy and offset configuration for double-walled carbon nanotubes. Communications in Nonlinear Science and Numerical Simulation, 13(7), 1431-1447.
DOI Scopus32
2008 Baowan, D., & Hill, J. (2008). Gigahertz Oscillators Constructed from Carbon Nanocones Inside Carbon Nanotubes. Journal of Computational and Theoretical Nanoscience, 5(3), 302-310.
DOI Scopus22
2008 Baowan, D., & Hill, J. (2008). Equilibrium locations for nested carbon nanocones. Journal of Mathematical Chemistry, 43(4), 1489-1504.
DOI Scopus18
2008 Thornton, A., Hill, A., Nairn, K., & Hill, J. (2008). Predicting particle transport through an aging polymer using vacancy diffusion. Current Applied Physics, 8(3-4), 501-503.
DOI Scopus2
2008 Tamsyn, A., & Hill, J. M. (2008). Theoretical comparison of nanotube materials for drug delivery. Micro and Nano Letters, 18(1), 3-24.
2008 Hilder, T., & Hill, J. (2008). Probability of encapsulation of paclitaxel and doxorubicin into carbon nanotubes. Micro and Nano Letters, 41(2), 3-49.
2008 Baowan, D., Thamwattana, N., & Hill, J. M. (2008). Erratum: Zigzag and spiral configurations for fullerenes in carbon nanotubes (Journal of Physics A: Mathematical and Theoretical (2007) 40 (7543-7556)). Journal of Physics A Mathematical and Theoretical, 41(29), 299801.
DOI
2007 Hill, J., Berndt, B., & Huber, T. (2007). Solving Ramanujan's differential equations for Eisenstein series via a first order Riccati equation. Acta Arithmetica, 128(3), 281-294.
DOI Scopus3
2007 Hill, J., Padukka, N., & Dai, H. (2007). Asymptotic Axially Symmetric Deformations for Perfectly Elastic Neo-Hookean and Mooney Materials. Journal of Elasticity, 86(2), 113-137.
DOI Scopus1
2007 Hill, J. (2007). Laplace transforms and the Riemann zeta function. Integral Transforms and Special Functions, 18(3), 193-205.
DOI Scopus2
2007 Wu, Y., Hill, J., & Yu, A. (2007). A finite element method for granular flow through a frictional boundary. Communications in Nonlinear Science and Numerical Simulation, 12(4), 486-495.
DOI Scopus14
2007 Hilder, T., & Hill, J. (2007). Oscillating carbon nanotori along carbon nanotubes. Physical Review B (Condensed Matter and Materials Physics), 75(12), 125415-1-125415-8.
DOI Scopus48
2007 Hilder, T., & Hill, J. (2007). Orbiting nanosectors inside carbon nanotori. Micro and Nano Letters, 2(3), 50-53.
DOI Scopus19
2007 Hilder, T., & Hill, J. (2007). Orbiting atoms and C₆₀ fullerenes inside carbon nanotori. Journal of Applied Physics, 101(6), 064319-1-064319-13.
DOI Scopus53
2007 Hilder, T., & Hill, J. (2007). Modelling the encapsulation of the anticancer drug cisplatin into carbon nanotubes. Nanotechnology, 18(275704), 1-8.
DOI Scopus102
2007 Hilder, T., & Hill, J. (2007). Continuous versus discrete for interacting carbon nanostructures. Journal of Physics A: Mathematical and Theoretical (Print Edition), 4(14), 3851-3868.
DOI Scopus44
2007 Tillman, P., & Hill, J. (2007). Determination of nanolayer thickness for a nanofluid. International Communications in Heat and Mass Transfer, 34(4), 399-407.
DOI Scopus93
2007 Thamwattana, N., & Hill, J. (2007). Continuum modelling for carbon and boron nitride nanostructures. Journal of Physics-Condensed Matter, 19(40), 406209-1-406209-16.
DOI Scopus22
2007 Matthews, M., & Hill, J. (2007). Newtonian flow with nonlinear Navier boundary condition. Acta Mechanica, 191(3-4), 195-217.
DOI Scopus62
2007 Matthews, M., & Hill, J. (2007). Nano boundary layer equation with nonlinear Navier boundary condition. Journal of Mathematical Analysis and Applications, 333(1), 381-400.
DOI Scopus62
2007 Matthews, M., & Hill, J. (2007). Micro/nano thermal boundary layer equations with slip-creep-jump boundary conditions. IMA Journal of Applied Mathematics, 72(6), 894-911.
DOI Scopus25
2007 Baowan, D., Thamwattana, N., & Hill, J. (2007). Zigzag and spiral configurations for fullerenes in carbon nanotubes. Journal of Physics A: Mathematical and Theoretical (Print Edition), 40(27), 7543-7556.
DOI Scopus15
2007 Baowan, D., Thamwattana, N., & Hill, J. (2007). Encapsulation of C₆₀ fullerenes into single-walled carbon nanotubes: Fundamental mechanical principles and conventional applied mathematical modeling. Physical Review B (Condensed Matter and Materials Physics), 76(15), 155411-1-155411-8.
DOI Scopus28
2007 Baowan, D., Thamwattana, N., & Hill, J. (2007). Continuum modelling of spherical and spheroidal carbon onions. European Physical Journal D, 44(1), 117-123.
DOI Scopus34
2007 Baowan, D., & Hill, J. (2007). Wave-like deformations for oscillating carbon nanotubes. International Journal of Solids and Structures, 44(25-26), 8297-8312.
DOI Scopus8
2007 Baowan, D., & Hill, J. (2007). Nested boron nitride and carbon-boron nitride nanocones. Micro and Nano Letters, 2(2), 46-49.
DOI Scopus31
2007 Baowan, D., & Hill, J. (2007). Force distribution for double-walled carbon nanotubes and gigahertz oscillators. Zeitschrift fur Angewandte Mathematik und Physik, 58(5), 857-875.
DOI Scopus73
2007 Cox, B., Thamwattana, N., & Hill, J. (2007). Mechanics of atoms and fullerenes in single-walled carbon nanotubes. II. Oscillatory behaviour. Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, 463(2078), 477-494.
DOI Scopus147 WoS131
2007 Cox, B., Thamwattana, N., & Hill, J. (2007). Mechanics of atoms and fullerenes in single-walled carbon nanotubes. I. Acceptance and suction energies. Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, 463(2078), 461-476.
DOI Scopus209 WoS192
2007 Cox, B., Thamwattana, N., & Hill, J. (2007). Mechanics of spheroidal fullerenes and carbon nanotubes for drug and gene delivery. The Quarterly Journal of Mechanics and Applied Mathematics, 60(2), 231-253.
DOI Scopus21 WoS16
2007 Cox, B., & Hill, J. (2007). Exact and approximate geometric parameters for carbon nanotubes incorporating curvature. Carbon, 45(7), 1453-1462.
DOI Scopus51 WoS50
2007 Cox, B., & Hill, J. (2007). New carbon molecules in the form of elbow-connected nanotori. The Journal of Physical Chemistry Part C: Nanomaterials and Interfaces, 111(29), 10855-10860.
DOI Scopus23 WoS21
2007 Cox, B., Thamwattana, N., & Hill, J. (2007). Electrostatic force between coated conducting spheres with applications to electrorheological nanofluids. Journal of Electrostatics, 65(10-11), 680-688.
DOI Scopus11 WoS8
2007 Cox, B., Thamwattana, N., & Hill, J. (2007). Mechanics of fullerenes oscillating in carbon nanotube bundles. Journal of Physics A: Mathematical and Theoretical (Print Edition), 40(44), 13197-13208.
DOI Scopus24 WoS19
2007 Baowan, D., Cox, B., & Hill, J. (2007). Two least squares analyses of bond lengths and bond angles for the joining of carbon nanotubes to graphenes. Carbon, 45(15), 2972-2980.
DOI Scopus38 WoS34
2007 Cox, B., & Hill, J. (2007). A polyhedral model for carbon nanotubes. SPIE Newsroom, 3 pages.
DOI
2006 Cox, B., Thamwattana, N., & Hill, J. (2006). Electric field-induced force between two identical uncharged spheres. Applied Physics Letters, 88(15), 1-3.
DOI Scopus25 WoS20
2006 Cox, B., Thamwattana, N., & Hill, J. (2006). Maximising the electrorheological effect for bidisperse nanofluids from the electrostatic force between two particles. Rheologica Acta, 45(6), 909-917.
DOI Scopus8 WoS7
2006 Matthews, M., & Hill, J. (2006). Micro/nano sliding plate problem with Navier boundary condition. Zeitschrift fur Angewandte Mathematik und Physik, 57(5), 875-903.
DOI Scopus14
2006 Matthews, M., & Hill, J. (2006). Flow around nanospheres and nanocylinders. The Quarterly Journal of Mechanics and Applied Mathematics, 59(2), 191-210.
DOI Scopus45
2005 McCue, S., Johnpillai, I., & Hill, J. (2005). Symmetry analysis for uniaxial compression of a hypoplastic granular material. Zeitschrift fur Angewandte Mathematik und Physik, 56(6), 1061-1083.
DOI Scopus2
2005 McCue, S., Johnpillai, I., & Hill, J. (2005). New stress and velocity fields for highly frictional granular materials. IMA Journal of Applied Mathematics, 70(1), 92-118.
DOI Scopus5
2005 McCue, S., & Hill, J. (2005). Free Surface Problems for Static Coulomb-Mohr Granular Solids. Mathematics and Mechanics of Solids, 10(6), 651-672.
DOI Scopus15
2005 Thamwattana, N., & Hill, J. (2005). Perturbation solutions for highly frictional granular media. Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, 461(2053), 21-42.
DOI Scopus5
2005 Johnpillai, I., McCue, S., & Hill, J. (2005). Lie group symmetry analysis for granular media stress equations. Journal of Mathematical Analysis and Applications, 301(1), 135-157.
DOI Scopus2
2005 Hill, J. (2005). On some integrals involving functions ϕ(x) such that ϕ(1/x)=√xϕ(x). Journal of Mathematical Analysis and Applications, 309(1), 256-270.
DOI Scopus2
2005 Hill, J. (2005). Curve fitting, differential equations and the Riemann Hypothesis. Ramanujan Journal, 9(3), 357-372.
DOI Scopus1
2005 Cox, G., McCue, S., Thamwattana, N., & Hill, J. (2005). Perturbation solutions for flow through symmetrical hoppers with inserts and asymmetrical wedge hoppers. Journal of Engineering Mathematics, 52(1), 63-91.
DOI Scopus5
2005 Cox, G., & Hill, J. (2005). Some exact velocity profiles for granular flow in converging hoppers. Zeitschrift fur Angewandte Mathematik und Physik, 56(1), 92-106.
DOI Scopus13
2005 Cox, G., & Hill, J. (2005). Hypoplasticity theory for granular materials - II: Three-dimensional axially symmetric exact solutions. International Journal of Non-linear Mechanics, 40(9), 1189-1203.
DOI Scopus1
2005 Cox, G., & Hill, J. (2005). Hypoplasticity theory for granular materials - I: Two-dimensional plane strain exact solutions. International Journal of Non-linear Mechanics, 40(9), 1171-1188.
DOI Scopus1
2005 Stump, D., & Hill, J. (2005). On an infinite integral arising in the numerical integration of stochastic differential equations. Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, 461(2054), 397-413.
DOI Scopus11
2005 Hill, J., & Selvadurai, A. (2005). Mathematics and mechanics of granular materials. Journal of Engineering Mathematics, 52(1-3), 1-9.
DOI
2005 Hill, J. M., & Selvadurai, A. P. S. (2005). Mathematics and mechanics of granular materials. Journal of Engineering Mathematics, 52(1), 1-9.
DOI Scopus11
2004 Hill, J. M., & Wegner, J. L. (2004). New families of exact nonlinear waves for the neo-Hookean finite elastic solid. Mathematics and Mechanics of Solids, 9(1), 81-95.
DOI Scopus3
2004 Thamwattana, N., Cox, G. M., & Hill, J. M. (2004). Stress distributions in highly frictional granular heaps. Zeitschrift Fur Angewandte Mathematik Und Physik, 55(2), 330-356.
DOI Scopus6
2004 Cox, G. M., Hill, J. M., & Thamwattana, N. (2004). A formal exact mathematical solution for a sloping rat-hole in a highly frictional granular solid. Acta Mechanica, 170(3-4), 127-147.
DOI Scopus8
2004 Thamwattana, N., & Hill, J. M. (2004). Stress distributions within curved highly frictional granular stockpiles. Quarterly Journal of Mechanics and Applied Mathematics, 57(3), 447-466.
DOI Scopus1
2004 Cox, G. M., & Hill, J. M. (2004). The limiting ideal theory for shear-index cohesionless granular materials. Anziam Journal, 45(3), 373-392.
DOI Scopus1
2003 Hill, J. M., & Thamwattana, N. (2003). Two approximate analytical solutions for the kinematically determined velocity equations for granular solids. International Journal of Non Linear Mechanics, 38(10), 1523-1531.
DOI
2003 Antic, A., & Hill, J. M. (2003). A two-stage heat transfer model for the peripheral layers of a grain store. Journal of Applied Mathematics and Decision Sciences, 7(3), 147-164.
DOI
2003 Cox, G. M., & Hill, J. M. (2003). Some exact mathematical solutions for granular stock piles and granular flow in hoppers. Mathematics and Mechanics of Solids, 8(1), 21-50.
DOI Scopus15
2003 Thamwattana, N., & Hill, J. M. (2003). Analytical solutions for tapering quadratic and cubic rat-holes in highly frictional granular solids. International Journal of Solids and Structures, 40(22), 5923-5948.
DOI Scopus6
2003 Antic, A., & Hill, J. M. (2003). The double-diffusivity heat transfer model for grain stores incorporating microwave heating. Applied Mathematical Modelling, 27(8), 629-647.
DOI Scopus17
2003 Thamwattana, N., & Hill, J. M. (2003). Analytical stress and velocity fields for gravity flows of highly frictional granular materials. Acta Mechanica, 164(1-2), 91-112.
DOI Scopus8
2002 Hill, J. M., & Cox, G. M. (2002). On the problem of the determination of force distributions in granular heaps using continuum theory. Quarterly Journal of Mechanics and Applied Mathematics, 55(4), 655-668.
DOI Scopus15
2002 Hill, J. M., & Dai, H. H. (2002). Nonlinear plane waves in finite deformable infinite Mooney elastic materials. Journal of Elasticity, 67(2), 71-80.
DOI Scopus5
2002 Hill, J. M., & Cox, G. M. (2002). Rat-hole stress profiles for shear-index granular materials. Acta Mechanica, 155(3-4), 157-172.
DOI Scopus12
2002 Cox, G. M., & Hill, J. M. (2002). Non-dilatant double-shearing theory applied to dynamical granular chute flow. Acta Mechanica, 159(1-4), 125-142.
DOI Scopus1
2001 Hill, J. M. (2001). Review of partial solutions of finite elasticity and their applications. International Journal of Non Linear Mechanics, 36(3), 447-463.
DOI Scopus23
2001 Spencer, A. J. M., & Hill, J. M. (2001). Non-dilatant double-shearing theory applied to granular funnel-flow in hoppers. Journal of Engineering Mathematics, 41(1), 55-73.
DOI Scopus16
2001 Hill, J. M., & Cox, G. M. (2001). Stress profiles for tapered cylindrical cavities in granular media. International Journal of Solids and Structures, 38(21), 3795-3811.
DOI Scopus9
2001 Hill, J. M., & Milan, A. M. (2001). Finite elastic plane strain bending of sectors of circular cylindrical tubes. International Journal of Engineering Science, 39(2), 209-227.
DOI Scopus4
2001 Hill, J. M., & Cox, G. M. (2001). An exact parametric solution for granular flow in a converging wedge. Zeitschrift Fur Angewandte Mathematik Und Physik, 52(4), 657-668.
DOI Scopus18
2001 Hill, J. M., & Milan, A. M. (2001). On a non-symmetrical plane strain deformation for hyperelastic materials. IMA Journal of Applied Mathematics Institute of Mathematics and Its Applications, 66(3), 285-291.
DOI
2000 Hill, J. M., & Cox, G. M. (2000). Cylindrical cavities and classical rat-hole theory occurring in bulk materials. International Journal for Numerical and Analytical Methods in Geomechanics, 24(12), 971-990.
DOI Scopus18
2000 Beatty, M. F., & Hill, J. M. (2000). Note on some general integrals arising in plane finite elasticity. Quarterly Journal of Mechanics and Applied Mathematics, 53(3), 421-428.
DOI
2000 Hill, J. M., & Cox, G. M. (2000). Transformations and equation reductions in finite elasticity IV: Illustration of the general integral for a plane strain similarity deformation. Mathematics and Mechanics of Solids, 5(1), 3-17.
DOI Scopus2
2000 Broadbridge, P., Hill, J. M., & Goard, J. M. (2000). Symmetry reductions of equations for solute transport in soil. Nonlinear Dynamics, 22(1), 15-27.
DOI Scopus8
2000 Hill, J. M., Jennings, M. J., Vu To, D., & Williams, K. A. (2000). Dynamics of an elastic ball bouncing on an oscillating plane and the oscillon. Applied Mathematical Modelling, 24(10), 715-732.
DOI Scopus20
2000 Hill, J. M., & Williams, K. A. (2000). Dynamical uniaxial compaction of a hypoplastic granular material. Mechanics of Materials, 32(11), 679-691.
DOI Scopus16
2000 Hill, J. M. (2000). Some symmetrical cavity problems for a hypoplastic granular material. Quarterly Journal of Mechanics and Applied Mathematics, 53(1), 111-135.
DOI Scopus13
2000 Wikiel, B., & Hill, J. M. (2000). Stick-slip motion for two coupled masses with side friction. International Journal of Non Linear Mechanics, 35(6), 953-962.
DOI Scopus23
2000 Hill, J. M. (2000). Similarity 'hot-spot' solutions for a hypoplastic granular material. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, 456(2003), 2653-2671.
DOI Scopus11
2000 Hill, J. M. (2000). Finite elastic eversion of a thick-walled incompressible spherical cap. Journal of Engineering Mathematics, 37(1-3), 93-109.
DOI Scopus1
1999 Hill, J. M., Shi, J., Tordesillas, A., & Wu, Y. H. (1999). Velocity field for the punch problem for dilatant granular materials. Quarterly Journal of Mechanics and Applied Mathematics, 52(1), 99-110.
DOI Scopus2
1999 Hill, J. M., & Milan, A. M. (1999). Finite elastic non-symmetrical inflation and eversion of circular cylindrical rubber tubes. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, 455(1983), 1067-1082.
DOI Scopus4
1999 Hill, J. M., Wu, Y. H., & Wiwatanapataphee, B. (1999). Analysis of flux flow and the formation of oscillation marks in the continuous caster. Journal of Engineering Mathematics, 36(4), 311-326.
DOI Scopus24
1999 Hill, J. M., & Arrigo, D. J. (1999). On the general structure of small on large problems for elastic deformations of Varga materials. I: Plane strain deformations. Journal of Elasticity, 54(3), 193-212.
DOI Scopus2
1999 Hill, J. M., & Arrigo, D. J. (1999). A note on Ericksen's problem for radially symmetric deformations. Mathematics and Mechanics of Solids, 4(4), 395-405.
DOI Scopus5
1999 Hill, J. M., & Spencer, A. J. M. (1999). Some dynamic shear flow problems for granular materials. Quarterly Journal of Mechanics and Applied Mathematics, 52(2), 253-267.
DOI Scopus6
1999 Hill, J. M., & Arrigo, D. J. (1999). Transformations and equation reductions in finite elasticity III: A general integral for plane strain deformations. Mathematics and Mechanics of Solids, 4(1), 3-15.
DOI Scopus7
1999 Hill, J. M., & Arrigo, D. J. (1999). On the general structure of small on large problems for elastic deformations of Varga materials. II: Axially symmetric deformations. Journal of Elasticity, 54(3), 213-227.
DOI Scopus2
1998 Zheng, X. M., & Hill, J. M. (1998). Molecular dynamics simulation of granular flows: Slip along rough inclined planes. Computational Mechanics, 22(2), 160-166.
DOI Scopus17
1998 Arrigo, D. J., & Hill, J. M. (1998). On a class of linearizable monge-ampère equations. Journal of Nonlinear Mathematical Physics, 5(2), 115-119.
DOI Scopus4
1998 Hoang, H. V., Hill, J. M., & Dewynne, J. N. (1998). Pseudo-steady-state solutions for solidification in a wedge. IMA Journal of Applied Mathematics Institute of Mathematics and Its Applications, 60(2), 109-121.
DOI Scopus12
1997 Hill, J. M., & Katoanga, T. L. (1997). The velocity equations for dilatant granular flow and a new exact solution. Zeitschrift Fur Angewandte Mathematik Und Physik, 48(1), 1-8.
DOI Scopus5
1997 Hill, J. M., & Katoanga, T. L. (1997). On a family of axially symmetric kinematically determined plastic flows. Mathematics and Mechanics of Solids, 2(3), 275-290.
DOI Scopus2
1996 Hill, J. M., & Wu, Y. H. (1996). The punch problem for shear-index granular materials. Quarterly Journal of Mechanics and Applied Mathematics, 49(1), 81-99.
DOI Scopus8
1996 Zheng, X. M., & Hill, J. M. (1996). Boundary effects for Couette flow of granular materials: Dynamical modelling. Applied Mathematical Modelling, 20(1).
Scopus5
1996 Hill, J. M., & Arrigo, D. J. (1996). Transformations and equation reductions in finite elasticity I: Plane strain deformations. Mathematics and Mechanics of Solids, 1(2), 155-175.
DOI Scopus25
1996 Hill, J. M., & Zheng, X. M. (1996). Dilatant double shearing theory applied to granular chute flow. Acta Mechanica, 118(1-4), 97-108.
DOI Scopus5
1996 Arrigo, D. J., & Hill, J. M. (1996). Transformations and equation reductions in finite elasticity II: Plane stress and axially symmetric deformations. Mathematics and Mechanics of Solids, 1(2), 177-192.
DOI Scopus17
1996 Zheng, X. M., & Hill, J. M. (1996). Molecular dynamics modelling of granular chute flow: Density and velocity profiles. Powder Technology, 86(2), 219-227.
DOI Scopus34
1996 Zheng, X. M., & Hill, J. M. (1996). Boundary effects for couette flow of granular materials: dynamical modelling. Applied Mathematical Modelling, 20(1), 82-92.
DOI Scopus9
1996 Hill, J. M., & Arrigo, D. J. (1996). On axially symmetric deformations of perfectly elastic compressible materials. Quarterly Journal of Mechanics and Applied Mathematics, 49(1), 19-28.
DOI Scopus9
1996 Hill, J. M., & Arrigo, D. J. (1996). Small deformations superimposed upon the symmetrical expansion of a spherical shell. Quarterly Journal of Mechanics and Applied Mathematics, 49(3), 337-351.
DOI Scopus6
1996 Hill, J. M., & Marchant, T. R. (1996). Modelling microwave heating. Applied Mathematical Modelling, 20(1), 3-15.
DOI Scopus133
1995 Hill, J. M., & Arrigo, D. J. (1995). New families of exact solutions for finitely deformed incompressible elastic materials. IMA Journal of Applied Mathematics Institute of Mathematics and Its Applications, 54(2), 109-123.
DOI Scopus31
1994 Hill, J. M., & Wu, Y. H. (1994). On a nonlinear stefan problem arising in the continuous casting of steel. Acta Mechanica, 107(1-4), 183-198.
DOI Scopus19
1994 Arrigo, D. J., Hill, J. M., & Broadbridge, P. (1994). Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source. IMA Journal of Applied Mathematics Institute of Mathematics and Its Applications, 52(1), 1-24.
DOI Scopus94
1993 Arrigo, D. J., Broadbridge, P., & Hill, J. M. (1993). Nonclassical symmetry solutions and the methods of Bluman-Cole and Clarkson-Kruskal. Journal of Mathematical Physics, 34(10), 4692-4703.
DOI Scopus89
1993 Hill, J. M., & Wu, Y. H. (1993). Plastic flows of granular materials of shear index n-I. Yield functions. Journal of the Mechanics and Physics of Solids, 41(1), 77-93.
DOI Scopus15
1993 Hill, J. M., & Jennings, M. J. (1993). Formulation of model equations for heating by microwave radiation. Applied Mathematical Modelling, 17(7), 369-379.
DOI Scopus54
1993 Hill, J. M., & Wu, Y. H. (1993). Plastic flows of granular materials of shear index n-II. Plane and axially symmetric problems for n = 2. Journal of the Mechanics and Physics of Solids, 41(1), 95-115.
DOI Scopus4
1993 Hill, J. M. (1993). Cylindrical and spherical inflation in compressible finite elasticity. IMA Journal of Applied Mathematics Institute of Mathematics and Its Applications, 50(2), 195-201.
DOI Scopus10
1992 Hill, D. L., & Hill, J. M. (1992). Utilization of nonlinear diffusion solutions for n-diffusion and power-law materials. Acta Mechanica, 91(3-4), 193-208.
DOI Scopus2
1992 Hill, J. M., & Tordesillas, A. A. (1992). The symmetrical adhesive contact problem for circular elastic cylinders. Journal of Elasticity, 27(1), 1-36.
DOI Scopus5
1992 Hill, J. M., & Myers, T. G. (1992). The combined compression and shear of a rectangular rubber block. ZAMP Zeitschrift Fur Angewandte Mathematik Und Physik, 43(5), 911-923.
DOI Scopus5
1992 Hill, J. M., Avagliano, A. J., & Edwards, M. P. (1992). Some exact results for nonlinear diffusion with absorption. IMA Journal of Applied Mathematics Institute of Mathematics and Its Applications, 48(3), 283-304.
DOI Scopus30
1992 Hill, J. M., & Yong-Hong Wu. (1992). Some axially symmetric flows of Mohr-Coulomb compressible granular materials. Proc Royal Society Series A Mathematical Physical Sciences, 438(1902), 67-93.
DOI Scopus14
1991 Hill, J. M., & Hill, D. L. (1991). On the derivation of first integrals for similarity solutions. Journal of Engineering Mathematics, 25(3), 287-299.
DOI Scopus15
1991 Tordesillas, A. A., & Hill, J. M. (1991). Three-dimensional frictionless contact between layered elastic bodies and incorporating sharp edges. Computational Mechanics, 8(4), 257-268.
DOI
1991 Hill, J. M., & Wu, Y. H. (1991). Kinematically determined axially-symmetric plastic flows of metals and granular materials. Quarterly Journal of Mechanics and Applied Mathematics, 44(3), 451-469.
DOI Scopus11
1990 Hill, J. M. (1990). Some integrable and exact similarity solutions for plane finite elastic deformations. IMA Journal of Applied Mathematics Institute of Mathematics and Its Applications, 44(2), 111-126.
DOI Scopus6
1990 Hill, J. M., & McNabb, A. (1990). On Dankwerts' transformation for two variable coupled systems. Bulletin of the Australian Mathematical Society, 41(3), 355-369.
DOI Scopus3
1990 Hill, J. M., & Hill, D. L. (1990). High-order nonlinear evolution equations. IMA Journal of Applied Mathematics Institute of Mathematics and Its Applications, 45(3), 243-265.
DOI Scopus7
1990 Hill, D. L., & Hill, J. M. (1990). Similarity solutions for nonlinear diffusion - further exact solutions. Journal of Engineering Mathematics, 24(2), 109-124.
DOI Scopus33
1989 Hill, J. M., & Tordesillas, A. (1989). The pressure distribution for symmetrical contact of circular elastic cylinders. Quarterly Journal of Mechanics and Applied Mathematics, 42(4), 581-604.
DOI Scopus7
1989 Hill, J. M., & Lee, A. I. (1989). Partial three dimensional deformations for the perfectly elastic Mooney material. ZAMP Zeitschrift Fur Angewandte Mathematik Und Physik, 40(1), 128-132.
DOI Scopus3
1989 Hill, J. M., & Lee, A. I. (1989). Large elastic compression of finite rectangular blocks of rubber. Quarterly Journal of Mechanics and Applied Mathematics, 42(2), 267-287.
DOI Scopus16
1989 Hill, J. M., & Lee, A. I. (1989). Combined compression and torsion of circular cylindrical pads of rubber. Journal of the Mechanics and Physics of Solids, 37(2), 175-190.
DOI Scopus11
1989 Hill, J. M. (1989). Simple exact solutions applicable to microwave heating. ZAMP Zeitschrift Fur Angewandte Mathematik Und Physik, 40(6), 872-882.
DOI Scopus11
1989 Hill, J. M. (1989). Similarity solutions for nonlinear diffusion - a new integration procedure. Journal of Engineering Mathematics, 23(2), 141-155.
DOI Scopus66
1988 Hill, J. M., & Willis, J. R. (1988). ANALYTICAL ASPECTS OF HEAT FLOW IN RANDOM TWO-COMPONENT LAMINATES.. Quarterly of Applied Mathematics, 46(2), 353-364.
DOI Scopus3
1988 Willis, J. R., & Hill, J. M. (1988). On heat diffusion in random laminates. Quarterly Journal of Mechanics and Applied Mathematics, 41(2), 281-299.
DOI Scopus2
1988 Smyth, N. F., & Hill, J. M. (1988). High-order nonlinear diffusion. IMA Journal of Applied Mathematics Institute of Mathematics and Its Applications, 40(2), 73-86.
DOI Scopus91
1986 Hill, J. M., & Hart, V. G. (1986). The Stefan problem in nonlinear heat conduction. ZAMP Zeitschrift Fur Angewandte Mathematik Und Physik, 37(2), 206-229.
DOI Scopus18
1986 Kucera, A., & Hill, J. M. (1986). On inward solidifying cylinders and spheres initially not at their fusion temperature. International Journal of Non Linear Mechanics, 21(1), 73-82.
DOI Scopus17
1986 Dewynne, J. N., & Hill, J. M. (1986). On a multiphase stefan problem. Quarterly Journal of Mechanics and Applied Mathematics, 39(1), 67-84.
DOI Scopus2
1986 Dewynne, J. N., & Hill, J. M. (1986). Integral formulations and bounds for two phase Stefan problems initially not at their fusion temperature. Acta Mechanica, 58(3-4), 201-228.
DOI Scopus14
1986 Hill, J. M., & Dewynne, J. N. (1986). ON THE INWARD SOLIDIFICATION OF CYLINDERS.. Quarterly of Applied Mathematics, 44(1), 59-70.
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1986 Hill, J. M., & Shield, R. T. (1986). On pseudo-plane deformations for the neo-Hookean material. ZAMP Zeitschrift Fur Angewandte Mathematik Und Physik, 37(1), 104-113.
DOI Scopus6
1985 Hill, J. M., & Kucera, A. (1985). An approximate solution for planar solidification with Newton cooling at the surface. ZAMP Zeitschrift Fur Angewandte Mathematik Und Physik, 36(5), 637-647.
DOI Scopus3
1985 Dewynne, J. N., & Hill, J. M. (1985). Bounds for moving boundary problems with two chemical reactions. Nonlinear Analysis, 9(11), 1293-1302.
DOI Scopus2
1985 Hill, J. M., & Dewynne, J. N. (1985). NOTE ON LANGFORD`S CYLINDER FUNCTIONS cn(z, z0) AND en(z, z0).. Quarterly of Applied Mathematics, 43(2), 179-185.
DOI Scopus1
1984 Hill, J. M., & Kucera, A. (1984). On boundary fixing transformations for the classical stefan problem. Mechanics Research Communications, 11(2), 91-96.
DOI Scopus2
1984 Dewynne, J. N., & Hill, J. M. (1984). ON AN INTEGRAL FORMULATION FOR MOVING BOUNDARY PROBLEMS.. Quarterly of Applied Mathematics, 41(4), 443-455.
DOI Scopus17
1984 Hill, J. M., & Rogers, C. (1984). On an analogy between plane finite elastic deformations and certain magnetohydrodynamic flows. ZAMP Zeitschrift Fur Angewandte Mathematik Und Physik, 35(1), 24-33.
DOI Scopus4
1984 Hill, J. M. (1984). On the pseudo-steady state approximation for moving boundary diffusion problems. Chemical Engineering Science, 39(1), 187-190.
DOI Scopus7
1983 Hill, J. M., & Kucera, A. (1983). The time to complete reaction or solidification of a sphere. Chemical Engineering Science, 38(8), 1360-1362.
DOI Scopus9
1983 Lee, A. I., & Hill, J. M. (1983). On the solution of boundary value problems for fourth order diffusion. Acta Mechanica, 46(1-4), 23-35.
DOI Scopus2
1983 Hill, J. M., & Kucera, A. (1983). Freezing a saturated liquid inside a sphere. International Journal of Heat and Mass Transfer, 26(11), 1631-1637.
DOI Scopus56
1982 Lee, A. I., & Hill, J. M. (1982). On the general linear coupled system for diffusion in media with two diffusivities. Journal of Mathematical Analysis and Applications, 89(2), 530-557.
DOI Scopus23
1982 Davis, G. B., & Hill, J. M. (1982). A note on a diffusion controlled moving boundary problem. Chemical Engineering Science, 37(6), 956-957.
DOI Scopus1
1982 Davis, G. B., & Hill, J. M. (1982). A moving boundary problem for the sphere. IMA Journal of Applied Mathematics Institute of Mathematics and Its Applications, 29(1), 99-111.
DOI Scopus44
1982 Lee, A. I., & Hill, J. M. (1982). A note on the solution of reaction-diffusion equations with convection. IMA Journal of Applied Mathematics Institute of Mathematics and Its Applications, 29(1), 39-43.
DOI Scopus3
1982 Hill, J. M., & Harr, M. E. (1982). Elastic and particulate media.. Journal of the Engineering Mechanics Division ASCE, 108(EM4), 596-604.
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1982 Hill, J. M., & Lee, A. I. (1982). Solutions for water transport through plant tissue. Journal of Theoretical Biology, 95(2), 409-411.
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1982 Liyanage, L. H., Gulati, C. M., & Hill, J. M. (1982). A bibliography on applications of random walks in theoretical chemistry and physics. Advances in Molecular Relaxation and Interaction Processes, 22(1), 53-72.
DOI Scopus9
1982 Davis, G. B., & Hill, J. M. (1982). A review of flow in fissured rocks and related phenomena. Mechanics Research Communications, 9(2), 115-120.
DOI Scopus3
1982 Hill, J. M. (1982). The inflation of thick‐walled inner tubes and tires. Journal of Applied Polymer Science, 27(1), 11-19.
DOI
1982 Hill, J. M. (1982). ON STATIC SIMILARITY DEFORMATIONS FOR ISOTROPIC MATERIALS.. Quarterly of Applied Mathematics, 40(3), 287-291.
DOI Scopus14
1982 Hill, J. M. (1982). Reduced equilibrium equations for perfectly elastic materials. Journal of Elasticity, 12(1), 153-158.
DOI Scopus3
1981 Hill, J. M. (1981). On the solution of reaction-diffusion equations. IMA Journal of Applied Mathematics Institute of Mathematics and Its Applications, 27(2), 177-194.
DOI Scopus19
1981 Hill, J. M. (1981). A random walk model for diffusion in the presence of high-diffusivity paths. Advances in Molecular Relaxation and Interaction Processes, 19(4), 261-284.
DOI Scopus2
1980 Hill, J. M. (1980). An integral equation arising in double diffusion theory. Journal of Mathematical Analysis and Applications, 77(1), 278-287.
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1980 Hill, J. M. (1980). The finite inflation of a thick-walled elastic torus. Quarterly Journal of Mechanics and Applied Mathematics, 33(4), 471-490.
DOI Scopus19
1980 Hill, J. M., & Aifantis, E. C. (1980). On the theory of diffusion in media with double diffusivity II. Boundary-value problems. Quarterly Journal of Mechanics and Applied Mathematics, 33(1), 23-42.
DOI Scopus40
1980 Delamore, G. W., & Hill, J. M. (1980). Solute concentration profiles in ternary lamellar eutectic growth. Scripta Metallurgica, 14(7), 809-813.
DOI Scopus4
1980 Aifantis, E. C., & Hill, J. M. (1980). On the theory of diffusion in media with double diffusivity I. Basic mathematical results. Quarterly Journal of Mechanics and Applied Mathematics, 33(1), 1-21.
DOI Scopus66
1979 Hill, J. M., & Nillsen, R. V. (1979). Mutually conjugate solutions of formally self-adjoint differential equations. Proceedings of the Royal Society of Edinburgh Section A Mathematics, 83(1-2), 93-101.
DOI Scopus2
1979 Hill, J. M. (1979). Plane steady solutions for stress-assisted diffusion. Mechanics Research Communications, 6(3), 147-150.
DOI Scopus3
1979 Hill, J. M. (1979). Some theoretical aspects of diffusion in the presence of high-diffusivity paths. Scripta Metallurgica, 13(11), 1027-1031.
DOI Scopus9
1977 Hill, J. M. (1977). An approximate load-deflection relation for a long half-cylindrical tube compressed between parallel plates. Zeitschrift Fur Angewandte Mathematik Und Physik ZAMP, 28(1), 169-175.
DOI Scopus10
1977 Patterson, J. C., & Hill, J. M. (1977). The stability of a solid rotating neo-hookean cylinder. Mechanics Research Communications, 4(1), 69-74.
DOI Scopus13
1977 Hill, J. M. (1977). Self-adjoint differential equations arising in finite elasticity for small superimposed deformations. International Journal of Solids and Structures, 13(9), 813-822.
DOI Scopus2
1977 Hill, J. M. (1977). Radial deflections of thin precompressed cylindrical rubber bush mountings. International Journal of Solids and Structures, 13(2), 93-104.
DOI Scopus18
1977 Hill, J. M. (1977). Load–deflection relations of long cylindrical rubber bush mountings constructed from rectangular blocks. Journal of Applied Polymer Science, 21(6), 1459-1467.
DOI Scopus3
1977 McIlroy, D. K., & Hill, J. M. (1977). Mathematics of wien dissociation for weak electrolytes. Journal of the Chemical Society Faraday Transactions 2 Molecular and Chemical Physics, 73(7), 1116-1121.
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1976 Hill, J. M. (1976). Closed form solutions for small deformations superimposed upon the simultaneous inflation and extension of a cylindrical tube. Journal of Elasticity, 6(2), 113-123.
DOI Scopus12
1976 Hill, J. M. (1976). Closed form solutions for small deformations superimposed upon the symmetrical expansion of a spherical shell. Journal of Elasticity, 6(2), 125-136.
DOI Scopus12
1976 Hill, J. M. (1976). Critical pressures for the buckling of thick-walled spherical shells under uniform external pressure. Quarterly Journal of Mechanics and Applied Mathematics, 29(2), 179-196.
DOI Scopus12
1975 Hill, J. M. (1975). Radical deflections of rubber bush mountings of finite lengths. International Journal of Engineering Science, 13(4), 407-422.
DOI Scopus32
1975 Hill, J. M. (1975). Load-deflection relations of bonded pre-compressed spherical rubber bush mountings. Quarterly Journal of Mechanics and Applied Mathematics, 28(3), 261-270.
DOI Scopus4
1975 Hill, J. M. (1975). The effect of precompression on the load‐deflection relations of long rubber bush mountings. Journal of Applied Polymer Science, 19(3), 747-755.
DOI Scopus13
1975 Hill, J. M. (1975). Buckling of long thick-walled circular cylindrical shells of isotropic incompressible hyperelastic materials under uniform external pressure. Journal of the Mechanics and Physics of Solids, 23(2), 99-112.
DOI Scopus18
1974 Hill, J. M., & Shield, R. T. (1974). Notes on a duality of stress and deformation fields in plane finite elasticity. Journal of Elasticity, 4(2), 167-172.
DOI Scopus3
1973 Hill, J. M. (1973). Partial solutions of finite elasticity - Plane deformations. Zeitschrift Fur Angewandte Mathematik Und Physik ZAMP, 24(3), 401-408.
DOI Scopus32
1973 Hill, J. M. (1973). Partial solutions of finite elasticity-axially symmetric deformations. Zeitschrift Fur Angewandte Mathematik Und Physik ZAMP, 24(3), 409-418.
DOI Scopus21
1973 Hill, J. M. (1973). Notes on three-dimensional deformations of incompressible materials. Journal of Elasticity, 3(3), 217-221.
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1973 Hill, J. M. (1973). A note on plane strain of incompressible materials. Journal of Elasticity, 3(1), 63-66.
DOI Scopus1
1973 Hill, J. M. (1973). Partial solutions of finite elasticity-three dimensional deformations. Zeitschrift Fur Angewandte Mathematik Und Physik ZAMP, 24(4), 609-618.
DOI Scopus21
1973 Hill, J. M. (1973). On a duality of stress and deformation fields in finite elasticity. Journal of Elasticity, 3(1), 51-56.
DOI Scopus5
1973 Hill, J. M. (1973). Notes on a paper by C. Chan and D. E. Carlson, "second-order incompressible elastic torsion". International Journal of Engineering Science, 11(3), 331-336.
DOI Scopus9

Year Citation
2022 Hill, J. M. (2022). Mathematics of Particle-Wave Mechanical Systems. Springer International Publishing.
DOI Scopus10
2017 Baowan, D., Cox, B., Hilder, T., Hill, J., & Thamwattana, N. (2017). Modelling and mechanics of carbon-based nanostructured materials. Oxford UK: Elselvier.
DOI Scopus42
2005 Hill, J., & Selvadurai, A. (Eds.) (2005). Mathematics and mechanics of granular materials. The Netherlands: Springer.
DOI Scopus5
2005 Hill, J., & Selvadurai, A. (Eds.) (2005). Mathematics and mechanics of granular materials. The Netherlands: Springer.
DOI Scopus5

Year Citation
2011 Baowan, D., Thamwattana, N., Cox, B., & Hill, J. (2011). Mechanics of Nanoscaled Oscillators. In K. Sattler (Ed.), Handbook of Nanophysics (pp. 36-1-36-17). Florida, USA: CRC Press.
2010 Thornton, A., Hill, A., & Hill, J. (2010). Modelling gas separation in porous membranes. In B. Freeman, & Y. Yampolskii (Eds.), Membrane Gas Separation (pp. 85-109). United Kingdom: Wiley.
DOI Scopus14
2010 Baowan, D., Thamwattana, N., Cox, B. J., & Hill, J. M. (2010). Mechanics of Nanoscaled Oscillators. In Handbook of Nanophysics 7 Volume Set (Vol. 1-7, pp. 36.1-3616).
2008 Tillman, P., Matthews, M., & Hill, J. M. (2008). Enhancement and temperature variation in the thermal conductivity of nanofluids. In S. Lombardi (Ed.), Source details - Title: Nanoparticles: new research (pp. 277-306). US: Nova Science.
2005 Hill, J. M., & Selvadurai, A. P. S. (2005). Mathematics and mechanics of granular materials. In Mathematics and Mechanics of Granular Materials (pp. 1-9). Springer Netherlands.
DOI Scopus5
2005 Cox, G. M., McCue, S. W., Thamwattana, N., & Hill, J. M. (2005). Perturbation solutions for flow through symmetrical hoppers with inserts and asymmetrical wedge hoppers. In Mathematics and Mechanics of Granular Materials (pp. 63-91). Springer Netherlands.
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Year Citation
2013 Baowan, D., Cox, B., & Hill, J. (2013). Fast flow through nanotubes and tube blow-out. In IUTAM Bookseries. IUTAM Symposium on Surface Effects in the Mechanics of Nanomaterials and Heterostructures Vol. 31 (pp. 71-86). Online: Springer.
DOI
2012 Lee, R., & Hill, J. (2012). Design parameters for a two-state nanomemory device. In B. J. Ruck, & T. Kemmitt (Eds.), 5th Biennial Conference on Advanced Materials and Nanotechnology, AMN-5 Vol. 700 (pp. 85-88). Switzerland: Trans Tech Publications.
DOI Scopus16 WoS12
2012 Adisa, O., Cox, B., & Hill, J. (2012). Modelling the adsorption of methane molecules into carbon nanotubes. In Materials Science Forum Vol. 700 (pp. 104-107). Switzerland: Trans Tech Publications Ltd.
DOI Scopus3 WoS3
2012 Bunder, J., & Hill, J. (2012). Modelling the diffusive growth of carbon fullerenes. In Materials Science Forum Vol. 700 (pp. 100-103). Switzerland: Trans Tech Publications Ltd.
DOI Scopus1 WoS1
2011 Lee, K., Cox, B., & Hill, J. (2011). Ideal polyhedral models for single-walled nanotubes. In G. Lee (Ed.), Physics Procedia Vol. 22 (pp. 144-149). Netherlands: Elsevier BV.
DOI Scopus2
2010 Lee, R., Cox, B., & Hill, J. (2010). Geometric model of silicon nanotubes. In 2010 3rd International Conference on Nanoscience and Nanotechnology, ICONN 2010 (pp. 365-367). US: IEEE.
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2010 Thornton, A., Hill, A., & Hill, J. (2010). A mathematical investigation into nanoscale gas separation: effects of pore size and temperature. In 2010 3rd International Conference on Nanoscience and Nanotechnology, ICONN 2010 (pp. 87-90). US: IEEE.
DOI Scopus2
2010 Baowan, D., Traimpo, W., Traimpo, D., & Hill, J. (2010). Theoretical prediction for the encapsulation of TiO2 nanoparticles into carbon nanotubes. In 2010 3rd International Conference on Nanoscience and Nanotechnology, ICONN 2010 (pp. 62-65). US: IEEE.
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2009 Thornton, A., & Hill, J. (2009). Modelling hydrogen adsorption within spherical, cylindrical and slit-shaped cavities. In 4th International Conference on Advanced Materials and Nanotechnology, AMN-4 Vol. 1151 (pp. 181-184). Dunedin: American Institute of Physics.
DOI
2009 Baowan, D., Cox, B. J., Thamwattana, N., & Hill, J. M. (2009). Two minimisation approximations for joining carbon nanostructures. In R. Pyrz, & J. C. Rauhe (Eds.), IUTAM Bookseries Vol. 13 (pp. 109-121). Aalborg, DENMARK: SPRINGER.
DOI Scopus2 WoS2
2009 Thamwattana, N., Cox, B., & Hill, J. (2009). Mathematical modelling for nanotube bundle oscillators. In AIP Conference Proceedings : volume 1151 Vol. 1151 (pp. 177-180). United States: Springer New York LLC.
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2009 Cox, B., & Hill, J. (2009). Polyhedral model for boron nitride nanotubes. In AIP Conference Proceedings Vol. 1151 (pp. 75-78). New York: American Institute of Physics.
DOI Scopus2 WoS2
2008 Thamwattana, N., Cox, B., & Hill, J. (2008). Carbon molecules oscillating in carbon nanotube bundles. In Proceedings of the International Conference on Nanoscience and Nanotechnology (pp. 230-233). Online: IEEE.
DOI Scopus5 WoS3
2008 Baowan, D., Cox, B., & Hill, J. (2008). Joining a carbon nanotube and a graphene sheet. In Nanoscience and Nanotechnology 2008 : ICONN 2008 (pp. 5-8). Online: IEEE.
DOI Scopus5 WoS6
2008 Baowan, D., Cox, B., Thamwattana, N., & Hill, J. (2008). Two minimisation approximations for joining carbon nanostructures. In Proceedings of the IUTAM Symposium on Modelling Nanomaterials and Nanosystems (pp. 109-121). Berlin: Springer.
DOI
2008 Thamwattana, N., Baowan, D., Cox, B., & Hill, J. (2008). Mechanics of fullerene-carbon nanotube bundle oscillators. In Proceedings of the 3rd Canadian Conference on Nonlinear Solid Mechanics (pp. 9-18). Toronto, Canada.
2008 Chan, Y., Cox, G., & Hill, J. (2008). A carbon atom orbiting around the outside of a carbon nanotube. In 2008 International Conference on Nanoscience and Nanotechnology, ICONN 2008 (pp. 152-155). Melbourne, VIC: IEEE.
DOI Scopus4
2008 Tamsyn, A., & Hill, J. (2008). Encapsulation of the anticancer drug cisplatin into nanotubes. In 2008 International Conference on Nanoscience and Nanotechnology, ICONN 2008 (pp. 109-112). Melbourne, VIC: IEEE.
DOI Scopus20
2007 Tillman, P., & Hill, J. (2007). Modelling the thermal conductivity of nanofluids. In IUTAM Symposium on the Mechanical Behaviour and Micromechanics of Nanostructured Materials:proceedings of the IUTAM symposium held in Beijing, China, June 27 - 30 , 2005 Vol. 144 (pp. 105-118). Michigan, USA: Springer.
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2006 Cox, B., Thamwattana, N., & Hill, J. (2006). Modelling the induced force of attraction in electrorheological nanofluids. In Proceedings of the 2006 International Conference on Nanoscience and Nanotechnology (pp. 709-712). New York: IEEE.
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2006 Cox, B., Thamwattana, N., & Hill, J. (2006). Mathematical modelling for a C60 carbon nanotube oscillator. In Proceedings of the 2006 International Conference on Nanoscience and Nanotechnology (pp. 80-83). New York: IEEE.
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2006 Wu, B., Tillman, P., & Hill, J. M. (2006). Mathematical modelling of nanoparticle melting. In Proceedings of the 2006 International Conference on Nanoscience and Nanotechnology Iconn (pp. 661-664). IEEE.
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2006 Baowan, D., & Hill, J. M. (2006). Force distribution for double-walled carbon nanotubes. In Proceedings of the 2006 International Conference on Nanoscience and Nanotechnology Iconn (pp. 681-684). IEEE.
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2006 Tillman, P., & Hill, J. M. (2006). A new model for thermal conductivity in nanofluids. In Proceedings of the 2006 International Conference on Nanoscience and Nanotechnology Iconn (pp. 673-676). IEEE.
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2006 Hilder, T. A., & Hill, J. M. (2006). Orbiting buckyballs inside nanotori. In Proceedings of the 2006 International Conference on Nanoscience and Nanotechnology Iconn (pp. 657-660). IEEE.
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2004 Hill, J. M., & Moore, R. (2004). Applied Mathematics Entering the 21st Century: Invited Talks from the ICIAM 2003 Congress: Foreword. In Applied Mathematics Entering the 21st Century Invited Talks from the Iciam 2003 Congress (pp. v-vi).
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  • Modelling optimal electromaterial structures for energy applications, ARC - Discovery Projects, 01/01/2017 - 30/06/2021

Date Role Research Topic Program Degree Type Student Load Student Name
2017 Co-Supervisor Collision probability modelling for short-term satellite encounters - Doctorate Part Time Mrs Hansi Kaushalya Perera Thanippuli Kankanamalage

Date Role Research Topic Program Degree Type Student Load Student Name
2011 - 2014 Co-Supervisor Modelling interaction of DNA with carbon nanostructures Doctor of Philosophy Doctorate Full Time Mr Mansoor Hassan S Alshehri
2010 - 2015 Principal Supervisor Modelling Hydrogen Storage in Novel Nanomaterials Doctor of Philosophy Doctorate Full Time Miss Wei Xian Lim
2010 - 2012 Co-Supervisor Modelling Gas Storage in Molecular Nanosystems Doctor of Philosophy Doctorate Full Time Mr Lumi Olayemi Adisa

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