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Finite elastoplastic deformation of membrane shells

Adnan Ibrahimbegović (Department of Mechanical Engineering, Université de Technologie de Compiègne, Compiègne, France)

Engineering Computations

ISSN: 0264-4401

Article publication date: 1 March 1996

243

Abstract

Under restriction of an isotropic elastic response of deformed lattice, develops a covariant theory of finite elastoplasticity in principal axes of a pair of deformation tensors. In material description, the tensor pair consists of the plastic deformation tensor and the total deformation Cauchy‐Green tensor. Applies the proposed theory to elastoplastic membrane shells, whose references and current configurations can be arbitrary space‐curved surfaces. Pressure‐insensitive von Mises yield criterion with isotropic hardening and a quadratic form of the strain energy function given in terms of elastic principal stretches are considered as a model problem. Through an explicit enforcement of the plane stress condition we arrive at a reduced two‐dimensional problem representation, which is set in the membrane tangent plane. Numerical implementation of the presented theory relies crucially on the operator split methodology to simplify the state update computation. Presents a set of numerical examples in order to illustrate the performance of the presented methodology and indicate possible applications in the area of sheet metal forming.

Keywords

Citation

Ibrahimbegović, A. (1996), "Finite elastoplastic deformation of membrane shells", Engineering Computations, Vol. 13 No. 2/3/4, pp. 122-142. https://doi.org/10.1108/02644409610114503

Publisher

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MCB UP Ltd

Copyright © 1996, MCB UP Limited

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