Parallel multilevel procedures for elastoplasticity computations in solid mechanics

A multigrid method is described that can solve history dependent, material nonlinear solid mechanics problems using the finite element method. Specifically, an incremental Newton-Raphson procedure is used to linearize the nonlinear equilibrium equations. The multigrid method is then used to solve the linear matrix equations at each Newton-Raphson iteration step. This algorithm uses a relaxation method to quickly eliminate the high frequency components of the error associated with a current approximation to the solution. A hierarchy of coarse meshes are then used to recursively compute this error. A small strain, von Mises elasto-plastic material model with both kinematic and isotropic hardening rules has been implemented. A simple interpolation procedure to determine the state variables for all the coarse meshes in the hierarchy is incorporated.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Civil Engineering

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Kacou, Sylvain

Contributors dc:contributor

• Parsons, I. Dennis

• Engineering, Civil

Statement dc:rights

• Copyright 1991 Kacou, Sylvain

Language dc:language

eng

Identifier

AAI9210854
(UMI)AAI9210854

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/19353