Existence and non-existence for the full thermomechanical Souza-Auricchio model of shape memory wires

被引：14

作者：

Krejci, Pavel ^{[2
]}

Stefanelli, Ulisse ^{[1
]}

机构：

[1] CNR, IMATI, I-27100 Pavia, Italy

[2] Matemat Ustav AV CR, Prague, Czech Republic

来源：

MATHEMATICS AND MECHANICS OF SOLIDS | 2011年 / 16卷 / 04期

关键词：

shape memory alloys; thermomechanics; existence result; blowup in finite time; MARTENSITIC PHASE-TRANSFORMATION; 3-DIMENSIONAL MODEL; GLOBAL EXISTENCE; LANDAU THEORY; EVOLUTION; ALLOYS; PSEUDOELASTICITY; TRANSITIONS; EQUATIONS;

D O I：

10.1177/1081286510386935

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We provide an existence theory for the full thermomechanical quasi-static evolution of a shape memory wire described by the Souza-Auricchio constitutive model. The analysis requires some mild restriction on the choice of the thermomechanical coupling term in the expression on the free energy of the material. This restriction slightly deviates from the original Souza-Auricchio modeling frame, while still being compatible with real situations. We additionally show that, by imposing no such restriction, the original Souza-Auricchio model is ill-posed.

引用

页码：349 / 365

页数：17

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