A phenomenological model for hysteresis in polycrystalline shape memory alloys

被引：11

作者：

Kruzík, M

Otto, F

机构：

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

[2] Ctr Adv European Studies & Res, D-53175 Bonn, Germany

[3] Inst Angew Math, D-53115 Bonn, Germany

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2004年 / 84卷 / 12期

关键词：

hysteresis; mathematical modeling; shape memory alloys; polycrystals;

D O I：

10.1002/zamm.200310139

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a phenomenological model describing stress and temperature induced transformations in polycrystalline shape memory alloys. Polycrystallinity is mimicked on the level of a finite element discretization: Each element is treated as a single grain of a randomly chosen orientation. This heterogeneity destroys the undesirable effect of instantaneous transformation under spatially homogeneous loading or heating. We present various computational experiments on the hysteretic effects. (C) 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：835 / 842

页数：8

共 13 条

[1] Kinetics of materials with wiggly energies: Theory and application to the evolution of twinning microstructures in a Cu-Al-Ni shape memory alloy [J].