Numerical Investigation of Large Elastoplastic Strains of Three-Dimensional Bodies

A method of stress-strain analysis of elastoplastic bodies with large displacements, rotations, and finite strains is developed. The incremental loading technique is used within the framework of the arbitrary Lagrangian-Eulerian formulation. Constitutive equations are derived which relate the Jauman...

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Bibliographic Details
Published in:International applied mechanics 2005-06, Vol.41 (6), p.614-620
Main Authors: Golovanov, A. I., Sultanov, L. U.
Format: Article
Language:English
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Summary:A method of stress-strain analysis of elastoplastic bodies with large displacements, rotations, and finite strains is developed. The incremental loading technique is used within the framework of the arbitrary Lagrangian-Eulerian formulation. Constitutive equations are derived which relate the Jaumann derivative of the Cauchy-Euler stress tensor and the strain rate. The spatial discretization is based on the FEM and multilinear three-dimensional isoparametric approximation. An algorithm of stress-strain analysis of elastic, hyperelastic, and perfectly plastic bodies is given. Numerical examples demonstrate the capabilities of the method and its software implementation
ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-005-0129-x