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Dr Barry J. Cox

BMath - PhD (Applied Maths)

Australian Research Council - Australian Postdoctoral Fellow
Lecturer

Nanomechanics Group
School of Mathematics & Applied Statistics
University of Wollongong
Northfields Ave
Wollongong NSW 2522
Australia

Ph:
Fax:
Email:

+61 2 4221 3521
+61 2 4221 4845
barryc@uow.edu.au


Research Interests

  • Nanoscaled oscillating systems; gigahertz oscillators; bundle oscillators
  • Geometries and geometric issues of nanostructures
  • Modelling the Winslow effect in electrorheological fluids
  • Modelling nanoscale devices using continuum mechanics
  • Predicting properties of nanomaterials using analytical techniques
  • Ordinary and partial differential equations
  • Elliptic and other special functions


List of Publications

Journal Articles

  1. B. J. Cox, N. Thamwattana and J. M. Hill, 2006 “Electric field-induced force between two identical uncharged spheres,” Applied Physics Letters, 88, 152903 (3pp), doi:10.1063/1.2185607. Also appeared in Virtual Journal of Nanoscale Science & Technology, 13, April 24, 2006.

  2. B. J. Cox, N. Thamwattana and J. M. Hill, 2006 “Maximising the electrorheological effect for bidisperse nanofluids from the electrostatic force between two particles,” Rheologica Acta, 45, 909-917, doi:10.1007/s00397-006-0084-4.

  3. B. J. Cox, N. Thamwattana and J. M. Hill, 2007 “Mechanics of atoms and fullerenes in single-walled carbon nanotubes. I. Acceptance and suction energies,” Proceedings of the Royal Society A, 463, 461-476, doi:10.1098/rspa.2006.1771.

  1. B. J. Cox, N. Thamwattana and J. M. Hill, 2007 “Mechanics of atoms and fullerenes in single-walled carbon nanotubes. II. Oscillatory behaviour,” Proceedings of the Royal Society A, 463, 477-494, doi:10.1098/rspa.2006.1772.

  2. B. J. Cox, N. Thamwattana and J. M. Hill, 2007 “Mechanics of spheroidal fullerenes and carbon nanotubes for drug and gene delivery,” Quarterly Journal of Mechanics and Applied Mathematics, 60, 231-263, doi:10.1093/qjmam/hbm005.

  3. B. J. Cox and J. M. Hill, 2007 “Exact and approximate geometric parameters for carbon nanotubes incorporating curvature,” Carbon, 45, 1453-1462, doi:10.1016/j.carbon.2007.03.028.

  4. B. J. Cox and J. M. Hill, 2007 “New carbon molecules in the form of elbow-connected nanotori,” Journal of Physical Chemistry C, 111, 10855-10860, doi:10.1021/jp0721402.

  5. B. J. Cox, N. Thamwattana and J. M. Hill, 2007 “Electrostatic force between coated conducting spheres with applications to electrorheological nanofluids,” Journal of Electrostatics, 65, 680-688, doi:10.1016/j.elstat.2007.05.004.

  6. B. J. Cox, N. Thamwattana and J. M. Hill, 2007 “Mechanics of fullerenes oscillating in carbon nanotube bundles,” Journal of Physics A: Mathematical and Theoretical, 40, 13197-13208, doi:10.1088/1751-8113/40/44/001.

  7. D. Baowan, B. J. Cox and J. M. Hill, 2007 “Two least squares analyses of bond lengths and bond angles for the joining of carbon nanotubes to graphenes,” Carbon, 45, 2972-2980, doi:10.1016/j.carbon.2007.09.045.

  8. B. J. Cox, T. A. Hilder, D. Baowan, N. Thamwattana and J. M. Hill, 2008 “Continuum modelling of gigahertz nano-oscillators,” International Journal of Nanotechnology, 5, 195-217, doi:10.1504/IJNT.2008.016916.

  9. B. J. Cox, N. Thamwattana and J. M. Hill, 2008 “Mathematical modelling of electrorheological nanofluids,” International Journal of Nanotechnology, 5, 243-276, doi:10.1504/IJNT.2008.017453.

  10. B. J. Cox, N. Thamwattana and J. M. Hill, 2008 “Mechanics of nanotubes oscillating in carbon nanotube bundles,” Proceedings of the Royal Society A, 464, 691-710, doi:10.1098/rspa.2007.0247.

  11. B. J. Cox, N. Thamwattana and J. M. Hill, 2008 “Spherical and spheroidal fullerenes entering carbon nanotubes,” Current Applied Physics, 8, 249-252, doi:10.1016/j.cap.2007.10.009.

  12. D. Baowan, B. J. Cox and J. M. Hill, 2008 “Junctions between a boron nitride nanotube and a boron nitride sheet,” Nanotechnology, 19, 075704 (12pp), doi:10.1088/0957-4484/19/7/075704.

  13. B. J. Cox and J. M. Hill, 2008 “A variational approach to the perpendicular joining of nanotubes to plane sheets,” Journal of Physics A: Mathematical and Theoretical, 41, 125203 (11pp), doi:10.1088/1751-8113/41/12/125203.

  14. B. J. Cox and J. M. Hill, 2008 “Geometric structure of ultra-small carbon nanotubes,” Carbon, 46, 711-713, doi:10.1016/j.carbon.2007.12.011.

  15. B. J. Cox, N. Thamwattana and J. M. Hill, 2008 “Orientation of spheroidal fullerenes inside carbon nanotubes with potential applications as memory devices in nano-computing,” Journal of Physics A: Mathematical and Theoretical, 41, 235209 (27pp), doi:10.1088/1751-8113/41/23/235209.

  16. D. Baowan, B. J. Cox and J. M. Hill, 2008 “Toroidal molecules formed from three distinct carbon nanotubes,” Journal of Mathematical Chemistry, 44, 515-527, doi:10.1007/s10910-007-9325-8.

  17. B. J. Cox and J. M. Hill, 2008 “Geometric model for boron nitride nanotubes incorporating curvature,” Journal of Physical Chemistry C, 112, 16248-16255, doi:10.1021/jp803023q.

  18. D. Baowan, B. J. Cox and J. M. Hill, 2008 “A continuous model for the joining of two fullerenes,” Philosophical Magazine, 88, 2953-2964, doi: 10.1080/14786430802446682.

  19. R. K. F. Lee, B. J. Cox and J. M. Hill, 2009 “An exact polyhedral model for boron nanotubes,” Journal of Physics A: Mathematical and Theoretical, 42, 065204 (23pp), doi:10.1088/1751-8113/42/6/065204.

  20. R. K. F. Lee, B. J. Cox and J. M. Hill, 2009 “An idealized polyhedral model and geometric structure for silicon nanotubes,” Journal of Physics: Condensed Matter, 21, 075301 (12pp), doi:10.1088/0953-8984/21/7/075301.

  21. N. Thamwattana, B. J. Cox and J. M. Hill, 2009 “Oscillation of carbon molecules inside carbon nanotube bundles,” Journal of Physics: Condensed Matter, 21, 144214 (6pp), doi:10.1088/0953-8984/21/14/144214.

  22. D. Baowan, B. J. Cox and J. M. Hill, 2009 “Discrete and continuous approximations for nanobuds,” Fullerenes, Nanotubes and Carbon Nanostructures, accepted for publication.

  23. B. J. Cox and S. Wagon, 2009 “Mechanical circle squaring,” College Mathematics Journal, accepted for publication.

Refereed Conference Papers

  1. B. J. Cox, N. Thamwattana and J. M. Hill, 2006 “Mathematical modelling for a C60 carbon nanotube osciallator,” Proceedings of the 2006 International Conference on Nanoscience and Nanotechnology, Brisbane, 3-7 July 2006, 80-83, doi:10.1109/ICONN.2006.340555.

  2. B. J. Cox, N. Thamwattana and J. M. Hill, 2006 “Modelling the induced force of attraction in electrorheological nanofluids,” Proceedings of the 2006 International Conference on Nanoscience and Nanotechnology, Brisbane, 3-7 July 2006, 709-712, doi:10.1109/ICONN.2006.340716.

  3. N. Thamwattana, B. J. Cox and J. M. Hill, 2008 “Carbon molecules oscillating in carbon nanotube bundles,” Proceedings of the International Conference on Nanoscience and Nanotechnology, Melbourne, 25-29 February 2008, 230-233.

  4. D. Baowan, B. J. Cox and James M. Hill, 2008 “Joining a carbon nanotube and a graphene sheet,” Proceedings of the International Conference on Nanoscience and Nanotechnology, Melbourne, 25-29 February 2008, 5-8.

  5. D. Baowan, B. J. Cox, N. Thamwattana and J. M. Hill, 2008 “Minimisation approximations for joining two carbon nanostructures,” Proceedings of the IUTAM Symposium on Modelling Nanomaterials and Nanosystems, Aalborg, Denmark, 19-22 May 2008.

  6. N. Thamwattana, D. Baowan, B. J. Cox and J. M. Hill, 2008 “Mechanics of fullerene-carbon nanotube bundle oscillators,” Proceedings of the 3rd Canadian Conference on Nonlinear Solid Mechanics, Toronto, 25-29 June 2008.

  7. N. Thamwattana, B. J. Cox and J. M. Hill, 2009 “Mathematical modelling for nanotube bundle oscillators,” Proceedings of the 4th Conference on Advanced Materials and Nanotechnology, Dunedin, 8-12 February 2009, accepted.

  8. B. J. Cox and J. M. Hill, 2009 “Polyhedral model for boron nitride nanotubes,” Proceedings of the 4th Conference on Advanced Materials and Nanotechnology, Dunedin, 8-12 February 2009, accepted.

Unrefereed Articles

  1. B. J. Cox and J. M. Hill, 2007 “A polyhedral model for carbon nanotubes,” The Society for Photo-Optical Instrumentation Engineers (SPIE) Newsroom, Published online July 2007, doi:10.1117/2.1200702.0806.

 

Last updated 14-May-2009