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

被引：49
|
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
收藏
页码：125 / 164
页数：40
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