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

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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