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A complete-damage problem at small strains
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SYSNO ASEP 0322576 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title A complete-damage problem at small strains Title Úloha úplného poškození při malých přetvořeních Author(s) Bouchitte, G. (FR)
Mielke, A. (DE)
Roubíček, Tomáš (UTIA-B) RIDSource Title Zeitschrift für angewandte Mathematik und Physik. - : Springer - ISSN 0044-2275
Roč. 60, č. 2 (2009), s. 205-236Number of pages 32 s. Publication form www - www Language eng - English Country CH - Switzerland Keywords Inelastic damage ; small strain ; variational inequality Subject RIV BA - General Mathematics R&D Projects IAA1075402 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10750506 - UTIA-B (2005-2011) UT WOS 000263676800002 DOI 10.1007/s00033-007-7064-0 Annotation Damage of a linearly-responding material that can thus completely disintegrate is addressed at small strains. Using time-varying Dirichlet boundary conditions we set up a rate-independent evolution problem in multidimensional situations. The stored energy involves the gradient of the damage variable. This variable as well as the stress and energies are shown to be well defined even under complete damage, in contrast to displacement and strain. Existence of an energetic solution is proved, in particular, by detailed investigating the Gamma-limit of the stored energy and its dependence on boundary conditions. Eventually, the theory is illustrated on a one-dimensional example. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2009
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