A rate-independent model for inelastic behavior of shape-memory alloys

被引：74

作者：

Mielke, A

Roubícek, T

机构：

[1] Univ Stuttgart, Inst Anal Synam & Modellierung, D-70569 Stuttgart, Germany

[2] Charles Univ Prague, Math Inst, CZ-18675 Prague 8, Czech Republic

[3] Acad Sci Czech Republ, Inst Informat Theory & Automat, CZ-18208 Prague 8, Czech Republic

来源：

MULTISCALE MODELING & SIMULATION | 2003年 / 1卷 / 04期

关键词：

martensitic transformation; gradient Young measures; energetic formulation; dissipation distance;

D O I：

10.1137/S1540345903422860

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We formulate a model describing rate-independent hysteretic response of shape-memory alloys under slow external forcing. Under natural assumptions we prove that this model has a solution. The microstructure is treated on a "mesoscopic" level, described by volume fractions of particular phases in terms of Young measures. The whole formulation is based on energetic functionals for energy storage and energy dissipation. The latter is built into the model by a dissipation distance between different values of these volume fractions.

引用

页码：571 / 597

页数：27

共 68 条

[1] ON THE COMPUTATION OF THE RANK-ONE CONVEX HULL OF A FUNCTION [J].