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A quasi-static boundary value problem in multi-surface elastoplasticity: Part 1—Analysis

✍ Scribed by Martin Brokate; Carsten Carstensen; Jan Valdman

Publisher: John Wiley and Sons
Year: 2004
Tongue: English
Weight: 132 KB
Volume: 27
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.524

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✦ Synopsis

Abstract

The quasi‐static evolution of an elastoplastic body with a multi‐surface constitutive law of linear kinematic hardening type allows the modelling of curved stress–strain relations. It generalizes classical small‐strain elastoplasticity from one to various plastic phases. This paper presents the mathematical models and proves existence and uniqueness of the solution of the corresponding initial‐boundary value problem. The analysis involves an explicit estimate for the effective ellipticity constant. Copyright © 2004 John Wiley & Sons, Ltd.

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## Abstract Multi‐yield elastoplasticity models a material with more than one plastic state and hence allows for refined approximation of irreversible deformations. Aspects of the mathematical modelling and a proof of unique existence of weak solutions can be found in part I of this paper (__Math.