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Computational Science, Engineering & Technology Series
ISSN 1759-3158
ISSN 1759-3158
CSETS: 9
COMPUTATIONAL MECHANICS USING HIGH PERFORMANCE COMPUTING
COMPUTATIONAL MECHANICS USING HIGH PERFORMANCE COMPUTING
Edited by: B.H.V. Topping
Chapter 10
Fast and Large Scale Methods for Nonlinear Anisotropic Problems
M.H.B.M. Shariff
School of Computing and Mathematics, University of Teesside, UK
Currently at Etisalat College of Engineering, UAE
Full Bibliographic Reference for this chapter
M.H.B.M. Shariff, "Fast and Large Scale Methods for Nonlinear Anisotropic Problems", in B.H.V. Topping, (Editor), "Computational Mechanics using High Performance Computing", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 10, pp 199-224, 2002. doi:10.4203/csets.9.10
Abstract
Large scale solution methods for nonlinear compressible and (nearly) incompressible
anistropic elastic problems are presented. Variational principles are
developed with special attention given to (nearly) incompressible materials.
A modified augmented Lagrangian method for
(nearly) incompressible problems is proposed and an alternative method for
solving a nearly
incompressible problem via a perturbation method is outlined. Numerical
examples are given.
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