On the treatment of nonlinear unilateral contact problems

authored by
Peter Wriggers, M. Imhof
Abstract

This paper is concerned with finite deformations of elastic bodies in the presence of unilateral constraints. The penalty formulation is applied to introduce the contact constraints. We develop special isoparametric contact elements. Starting from their Gaussian points the distance between the body and the obstacle is determined, where the obstacle is given as a C2 continuous function. Variation and subsequent consistent linearization yield the tangent matrix of the contact elements in its general form, which can be incorporated into standard finite element schemes.

External Organisation(s)
Technische Universität Darmstadt
Type
Article
Journal
Archive of applied mechanics
Volume
63
Pages
116-129
No. of pages
14
ISSN
0939-1533
Publication date
02.1993
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Mechanical Engineering
Electronic version(s)
https://doi.org/10.1007/BF00788917 (Access: Unknown)
 

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