A rate-independent model for the isothermal quasi-static evolution of shape-memory materials

被引：50

作者：

Auricchio, Ferdinando ^{[1
,2
]}

Mielke, Alexander ^{[3
,4
]}

Stefanelli, Ulisse ^{[2
]}

机构：

[1] Univ Pavia, Dipartimento Meccan Strutturale, I-27100 Pavia, Italy

[2] CNR, Ist Matemat Applicata & Tecnol Informat, I-27100 Pavia, Italy

[3] Weierstrass Inst Angew Anal & Stochast, D-10117 Berlin, Germany

[4] Humboldt Univ, Inst Math, D-12489 Berlin, Germany

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2008年 / 18卷 / 01期

关键词：

shape-memory materials; rate-independent evolution; existence; time and space discretization; Gamma-convergence; asymptotics; error;

D O I：

10.1142/S0218202508002632

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper addresses a three-dimensional model for isothermal stress-induced transformation in shape-memory polycrystalline materials. We treat the problem within the framework of the energetic formulation of rate-independent processes and investigate existence and continuous dependence issues at both the constitutive relation and quasi-static evolution level. Moreover, we focus on time and space approximation as well as on regularization and parameter asymptotics.

引用

页码：125 / 164

页数：40

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