On some models for elastic solids with micro-structure

被引：9

作者：

Picard, Rainer ^{[1
]}

Trostorff, Sascha ^{[1
]}

Waurick, Marcus ^{[1
]}

机构：

[1] Tech Univ Dresden, FR Math, D-01069 Dresden, Germany

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2015年 / 95卷 / 07期

关键词：

Material laws; elasticity theory; visco-elasticity; coupled systems; causality; evolutionary equations; energy conservation; CONFORMALLY INVARIANT CURVATURE; EVOLUTIONARY PROBLEMS; COSSERAT ELASTICITY; EXISTENCE;

D O I：

10.1002/zamm.201300297

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We review the concept of well-posedness in the context of evolutionary problems from mathematical physics for a particular subclass of problems from elasticity theory modeling solids with micro-structure. The complexity of physical phenomena appears as encoded in so called material laws. The usefulness of the structural perspective developed is illustrated by showing that many initial boundary value problems in the theory of such elastic solids share the same type of solution theory. Moreover, interconnections of the respective models are discussed via a previously introduced mother/descendant mechanism. (C) 2014 WILEY-VCH Veriag GmbH & Co. KGaA, Weinheim

引用

页码：664 / 689

页数：26

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