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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