On uniqueness and continuous dependence in the nonlinear theory of mixtures of elastic solids with voids

被引：13

作者：

Quintanilla, R ^{[1
]}

机构：

[1] Univ Politecn Catalunya, Barcelona 08222, Spain

来源：

MATHEMATICS AND MECHANICS OF SOLIDS | 2001年 / 6卷 / 03期

关键词：

elasticity with voids; mixtures; continuous dependence; uniqueness; nonlinear problems;

D O I：

10.1177/108128650100600305

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper is concerned with static and dynamic deformations in a nonlinear theory of mixtures of elastic materials with voids. First, we extend some conservation laws within the nonlinear theory. A uniqueness result is presented under a condition related to quasi-convexity assumptions in the static problem. The continuous dependence of solutions upon initial state and body forces is established for the dynamical case. A uniqueness result is also presented.

引用

页码：281 / 298

页数：18

共 33 条

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ATKIN RJ, 1976, J I MATH APPL, V17, P153

[2] CONTINUUM THEORIES OF MIXTURES - BASIC THEORY AND HISTORICAL DEVELOPMENT [J].