EXISTENCE AND LINEARIZATION FOR THE SOUZA-AURICCHIO MODEL AT FINITE STRAINS

被引：2

作者：

Grandi, Diego ^{[1
]}

Stefanelli, Ulisse ^{[1
,2
]}

机构：

[1] Univ Vienna, Fac Math, Oskar Morgenstern Pl, A-1090 Vienna, Austria

[2] CNR, Ist Matemat Applicata & Tecnol Informat E Magenes, Via Ferrata 1, I-27100 Pavia, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2017年 / 10卷 / 06期

基金：

奥地利科学基金会;

关键词：

Shape-memory alloys; finite strain; rate-independence; existence theory; linearization; evolution Gamma-convergence; QUASI-STATIC EVOLUTION; SHAPE-MEMORY ALLOYS; MARTENSITIC PHASE-TRANSFORMATION; 3-DIMENSIONAL MODEL; GAMMA-LIMITS; CONSTITUTIVE MODEL; PLASTICITY; ELASTICITY; 3D; MICROSTRUCTURE;

D O I：

10.3934/dcdss.2017068

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We address the analysis of the Souza-Auricchio model for shape-memory alloys in the finite-strain setting. The model is formulated in variational terms and the existence of quasistatic evolutions is obtained within the classical frame of energetic solvability. The finite-strain model is proved to converge to its small-strain counterpart for small deformations via a variational convergence argument.

引用

页码：1257 / 1280

页数：24

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