RATE-INDEPENDENT PROCESSES WITH LINEAR GROWTH ENERGIES AND TIME-DEPENDENT BOUNDARY CONDITIONS

被引：1

作者：

Kruzik, Martin ^{[1
,2
]}

Zimmer, Johannes ^{[3
]}

机构：

[1] ASCR, Inst Informat Theory & Automat, CZ-18208 Prague 8, Czech Republic

[2] Czech Tech Univ, Fac Civil Engn, CZ-16629 Prague 6, Czech Republic

[3] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2012年 / 5卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

Concentrations; oscillations; time-dependent boundary conditions; rate-independent evolution;

D O I：

10.3934/dcdss.2012.5.591

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A rate-independent evolution problem is considered for which the stored energy density depends on the gradient of the displacement. The stored energy density does not have to be quasiconvex and is assumed to exhibit linear growth at infinity; no further assumptions are made on the behaviour at infinity. We analyse an evolutionary process with positively 1-homogeneous dissipation and time-dependent Dirichlet boundary conditions.

引用

页码：591 / 604

页数：14

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