Premium
A quasi‐static boundary value problem in multi‐surface elastoplasticity: Part 1—Analysis
Author(s) -
Brokate Martin,
Carstensen Carsten,
Valdman Jan
Publication year - 2004
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.524
Subject(s) - uniqueness , mathematics , boundary value problem , surface (topology) , mathematical analysis , constitutive equation , constant (computer programming) , kinematics , geometry , finite element method , classical mechanics , computer science , physics , thermodynamics , programming language
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.