A sharp interface evolutionary model for shape memory alloys

被引：1

作者：

Knuepfer, Hans ^{[1
,2
]}

Kruzik, Martin ^{[3
,4
]}

机构：

[1] Heidelberg Univ, Inst Appl Math, Neuenheimer Feld 294, D-69120 Heidelberg, Germany

[2] Heidelberg Univ, IWR, Neuenheimer Feld 294, D-69120 Heidelberg, Germany

[3] CAS, Inst Informat Theory & Automat, Pod Vodarenskou Vezi 4, CZ-18208 Prague 8, Czech Republic

[4] Czech Tech Univ, Fac Civil Engn, Thakurova 7, Prague 16629, Czech Republic

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2016年 / 96卷 / 11期

关键词：

Polyconvexity; shape memory materials; rate-independent problems; PHENOMENOLOGICAL MODEL; CONVEXITY CONDITIONS; VARIATIONAL MODEL; PHASE-TRANSITIONS; RIGIDITY RESULT; ENERGY; MICROSTRUCTURE; HYSTERESIS; EXISTENCE; BOUNDARIES;

D O I：

10.1002/zamm.201500209

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show the existence of an energetic solution to a quasistatic evolutionary model of shape memory alloys. Elastic behavior of each material phase/variant is described by polyconvex energy density. Additionally, to every phase boundary, there is an interface-polyconvex energy assigned, introduced by M. Silhavy in [49]. The model considers internal variables describing the evolving spatial arrangement of the material phases and a deformation mapping with its first-order gradients. It allows for injectivity and orientation-preservation of deformations. Moreover, the resulting material microstructures have finite length scales. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：1347 / 1355

页数：9

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