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A quasi-static boundary value problem in multi-surface elastoplasticity: part 2—numerical solution

✍ Scribed by Martin Brokate; Carsten Carstensen; Jan Valdman

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
305 KB
Volume
28
Category
Article
ISSN
0170-4214

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✦ Synopsis

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. Models Methods Appl. Sci. 2004). In this part II we establish a canonical time–space discretization of the evolution problem and present various algorithms for the solving really discrete problems. Based on a global Newton–Raphson solver, we carefully study and solve elementwise inner iterations. Numerical examples illustrate the model and its flexibility to allow for refined hysteresis curves. Copyright © 2005 John Wiley & Sons, Ltd.

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