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Finite deformation post‐buckling analysis involving inelasticity and contact constraints
Author(s) -
Simo J. C.,
Wriggers P.,
Schweizerhof K. H.,
Taylor R. L.
Publication year - 1986
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620230504
Subject(s) - tangent , finite element method , boundary value problem , finite strain theory , finite strip method , buckling , numerical analysis , mathematics , deflection (physics) , structural engineering , mathematical analysis , geometry , engineering , classical mechanics , physics
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.