Fast simulation of (nearly) incompressible nonlinear elastic material at large strain via adaptive mixed FEM

Description

The main focus of this work lies in the simulation of the deformation of mechanical components which consist of nonlinear elastic, incompressible material and that are subject to large deformations. Starting from a nonlinear formulation one can derive a discrete problem by using linearisation techniques and an adaptive mixed finite element method. This turns out to be a saddle point problem that can be solved via a Bramble-Pasciak conjugate gradient method. With some modifications the simulation can be improved.:1. Introduction
2. Basics
3. Mixed variational formulation
4. Solution method
5. Error estimation
6. LBB conditions
7. Improvement suggestions

Links & Downloads

1. urn:nbn:de:bsz:ch1-qucosa-96915
2. 1864-0087
3. https://monarch.qucosa.de/id/qucosa%3A19782
4. https://monarch.qucosa.de/api/qucosa%3A19782/attachment/ATT-0/
5. https://monarch.qucosa.de/api/qucosa%3A19782/attachment/ATT-1/

Tags

info:eu-repo/classification/ddc/518

ddc:518

Additional Fields

Identifer	oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:19782
Date	19 October 2012
Creators	Balg, Martina, Meyer, Arnd
Contributors	Spitzentechnologiecluster eniPROD
Publisher	Technische Universität Chemnitz
Source Sets	Hochschulschriftenserver (HSSS) der SLUB Dresden
Language	English
Detected Language	English
Type	doc-type:preprint, info:eu-repo/semantics/preprint, doc-type:Text
Rights	info:eu-repo/semantics/openAccess