Finite deformation post‐buckling analysis involving inelasticity and contact constraints

authored by
J. C. Simo, Peter Wriggers, K. H. Schweizerhof, R. L. Taylor
Abstract

This paper is concerned with the numerical solution of large deflection structural problems involving finite strains, subject to contact constraints and unilateral boundary conditions, and exhibiting inelastic constitutive response. First, a three‐dimensional finite strain beam model is summarized, and its numerical implementation in the two‐dimensional case is discussed. Next, a penalty formulation for the solution of contact problems is presented and the correct expression for consistent tangent matrix is developed. Finally, basic strategies for tracing limit points are reviewed and a modification of the arc‐length method is proposed. The good performance of the procedures discussed is illustrated by means of numerical examples.

External Organisation(s)
University of California at Berkeley
Type
Article
Journal
International Journal for Numerical Methods in Engineering
Volume
23
Pages
779-800
No. of pages
22
ISSN
0029-5981
Publication date
05.1986
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Numerical Analysis, Engineering(all), Applied Mathematics
Electronic version(s)
https://doi.org/10.1002/nme.1620230504 (Access: Unknown)
 

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