BSci (Hons)
Mahidol, PhD
Tel: +61 (02) 4221 4630
Fax: +61 (02) 4221 4845
Email: ngamta@uow.edu.au
Postal Address:
School of Mathematics and Applied Statistics
University of Wollongong
Northfields Ave
WOLLONGONG NSW 2522
Australia |
 |
After completing a Bachelor of Science
degree with First-class Honours in Mathematics at
Mahidol University (Bangkok), Natalie was awarded the "Development
of Promotion Science and Technology Talent Project Scholarship"
from The Institute for Promotion of Teaching Science and Technology,
Thailand in 1997. This enabled her to undertake a PhD entitled
Some analytical solutions for problems involving highly
frictional granular materials, which she completed in 2004.
Natalie is currently a Visiting Fellow in the School of Mathematics
and Applied Statistics at the University of Wollongong.
Granular materials
In her PhD thesis, Natalie studied the mechanics of highly
frictional granular materials (materials with high values
of the angle of internal friction). For these materials, she
adapted the continuum mechanical theory for granular materials
and obtained exact analytical solutions, which she used to
examine three important industrial granular problems: hopper
flows, force distributions in stockpiles and rat-holes. Furthermore,
she also considered perturbation solutions, which can be used
to describe the behaviour of granular materials in general.
Specific issues arising from the
thesis include:
- Applied Mathematical Modelling
- Nonlinear Continuum Mechanics
- Nonlinear Partial Differential
Equations
- Nonlinear Ordinary Differential
Equations
- Lie Symmetry Analysis
- Perturbation Solutions
- Numerical Analysis
[1] J. M. Hill & N. Thamwattana (2003)
Two approximate analytical solutions for the kine-
matically determined velocity equations for granular solids,
International Journal of Non-linear
Mechanics 38, 1523-1531.
[2] N. Thamwattana & J. M. Hill (2003)
Analytical stress and velocity fields for gravity flows
of highly frictional granular materials, Acta Mechanica
164, 91-112.
[3] N. Thamwattana & J. M. Hill (2003)
Analytical solutions for tapering quadratic and cubic
rat-holes in highly frictional granular solids, International
Journal of Solids and Structures 40,
5923-5948.
[4] N. Thamwattana, G. M. Cox & J.
M. Hill (2004) Stress distributions in highly frictional
granular heaps, Zeitschrift fur angewandte Mathematik
und Phisik (ZAMP) 55, 330-356.
[5] G. M. Cox, J. M. Hill & N. Thamwattana
(2004) A formal exact mathematical solution
for a sloping rat-hole in a highly frictional granular solid,
Acta Mechanica 170, 127-147.
[6] N. Thamwattana & J. M. Hill (2004)
Force distributions at the bases of curved highly
frictional granular stockpiles, Quarterly Journal of Mechanics
and Applied Mathematics 57,
447-466.
[7] N. Thamwattana & J. M. Hill (2004)
Perturbation solutions for highly frictional granular
media, Proceedings of the Royal Society of London
A 461, 21-42.
[8] G. M. Cox, S. W. McCue, N. Thamwattana
& J. M. Hill, Perturbation solutions for
flow through symmetrical hoppers with inserts and asymmetrical
wedge hoppers, Journal of
Engineering Mathematics, Special issue on Mathematics
and Mechanics of Granular Materials,
to appear.
[9] N. Thamwattana & J. M.
Hill, Some simple analytical solutions for highly frictional
granular materials, in the 5th Biennial Engineering Mathematics
and Applications Conference
Proceedings (ed. M. Pemberton, I. Turner & P. Jacobs),
The Institution of Engineers, Australia,
(2002) 223-229.
Updated: Apr 05
|
