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Grant Cox

B Math (Hons), PhD UoW

Tel: +61 (02) 4221 4304
Fax: +61 (02) 4221 4845
Email: gcox@uow.edu.au

Postal Address:
School of Mathematics and Applied Statistics,
University of Wollongong,
Northfields Avenue,
Wollongong, N.S.W., 2522,
AUSTRALIA.

Grant Cox

Maple_Handbook_2004.pdf
Maple_Handbook_2008.pdf

Resource Shocks Draft 2.doc

Inertia_hopper_comments_ps_as_asHOOP_TOTAL_Results.pdf

Contents


Biography

Grant started his Bachelor of Mathematics at the University of Wollongong in 1994, which he completed in 1997 with a First Class Honours degree. He then undertook a PhD in 1998 with Professor Jim Hill, to investigate stress distributions beneath granular stockpiles and within stable rat-holes.  Currently, Grant is an ARC Australian post-doctoral fellow in the School of Mathematics and Applied Statistics at the University of Wollongong.

Grant is a member of the Australian Mathematical Society (AustMS), the Australian and New Zealand Industrial and Applied Mathematics Society (ANZIAM) and the Institute of Mathematics and Applied Statistics (IMAS).

On the 4th of July 2005, Grant will be commencing a pernament lecturing position within the School of Mathematics and Applied Statistics at the University of Wollongong.


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Research

Interests:

Grant's main area of research is modelling the flow and behaviour of granular materials using the theory of continuum mechanics. Currently, he is investigating two-phase industrial granular flows, where flow of the solid granular material is influenced by either a gas phase or a fluid phase.

Grants:

ARC Australian Post-Doctoral Fellowship,
"Mathematical modelling of two-phase industrial granular flows",
2003-2005.

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Teaching

During Grant's time as a post-doctoral fellow, he has obtained experience in large class teaching via lecturing half of the first year mathematics subject MATH188. He has also tutored various courses.

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Publications

Journal Articles:

Cox G. M. and Hill J. M. "Recent advances in the theory of rat-holes", The Chemical Engineer, summary article in preparation.

Cox G. M., Thamwattana N. and Hill J. M. "Gravity flow in a reclaim stockpile", Proc. Roy. Soc. Lond. A, in preparation.

Cox G. M. and Hill J. M. "Hypoplasticity theory for granular materials: I. Two-dimensional plane strain exact solutions", International Journal of Non-linear Mechanics, submitted for publication.

Cox G. M. and Hill J. M. "Hypoplasticity theory for granular materials: II. Three-dimensional axially symmetric exact solutions", International Journal of Non-linear Mechanics, submitted for publication.

Cox G. M., McCue S. W., Thamwattana N. and Hill J. M. "Perturbation solutions for symmetrical hoppers with inserts and asymmetrical wedge hoppers", Journal of Engineering Mathematics, accepted for publication (2005).

Cox G. M. and Hill J. M. "Some exact velocity profile for granular flow in converging hoppers", Zeitschrift fur angewandte Mathematik und Physik (ZAMP), 56 (2005), 92-106.

Cox G. M., Hill J. M. and Thamwattana N. "A formal exact mathematical solution for a sloping rat-hole in a highly frictional granular solid", Acta Mechanica, 170 (2004), 127-147.

Thamwattana N., Cox G. M. and Hill J. M. "Stress distributions in highly frictional granular heaps", Zeitschrift fur angewandte Mathematik und Physik (ZAMP), 55 (2004), 330-356.

Cox G. M. and Hill J. M. "The limiting ideal theory for shear-index cohesionless granular materials", ANZIAM Journal, 45 (2004), 373-392.

Cox G. M. and Hill J. M. "Some exact mathematical solutions for granular stock piles and granular flow in hoppers", Mathematics and Mechanics of Solids, 8 (2003), 21-50.

Cox G. M. and Hill J. M. "Non-dilatant double-shearing theory applied to dynamical granular chute flow", Acta Mechanica, 159 (2002), 125-142.

Hill J. M. and Cox G. M. "Rat-hole stress profiles for shear-index granular materials",
Acta Mechanica, 155 (2002), 157-172.

Hill J. M. and Cox G. M. "On the problem of the determination of force distributions in granular heaps using continuum theory", Quarterly Journal of Mechanics and Applied Mathematics, 55 (2002), 655-668.

Hill J. M. and Cox G. M. "An exact parametric solution for granular flow in a converging wedge", Zeitschrift fur angewandte Mathematik und Physik (ZAMP), 52 (2001), 657-668.

Hill J. M. and Cox G. M. "Stress profiles for tapered cylindrical cavities in granular media", International Journal of Solids and Structures, 38 (2001), 3795-3811.

Hill J. M. and Cox G. M. "Cylindrical cavities and classical rat-hole theory occurring in bulk materials", International Journal for Numerical and Analytical Methods on Geomechanics, 24 (2000), 971-990.

Hill J. M. and Cox G. M. "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 (2000), 3-17.


Conference Articles:

Thamwattana N., Cox G. M. and Hill J. M. "Some recent results for highly frictional granular materials", Proc. Int. Workshop on Modern Trends in Geomehanics, 27 - 29th June, 2005, Vienna, Austria, in preparation.

Hill J. M. and Cox G. M. "The force distribution at the base of sand-piles", Developments in Theoretical Geomechanics, The John Booker Memorial Symposium,
(Eds. Smith, D. W. and Carter, J. P.), (2000), 43-61.


Ph.D. Thesis:

Cox G. M. "Stress distributions beneath heaps and rat-hole problems for granular materials".
School of Mathematics and Applied Statistics, University of Wollongong, Australia, (2001).

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Links

Australian Mathematical Society (AustMS),
Australian and New Zealand Industrial and Applied Mathematics Society
(ANZIAM),
Institute of Mathematics and Applied Statistics (IMAS).

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 Updated: February 2005

 

 
 
 

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