A complete-damage problem at small strains

0322576 - ÚTIA 2009 RIV CH eng J - Journal Article
Bouchitte, G. - Mielke, A. - Roubíček, Tomáš
A complete-damage problem at small strains.
[Úloha úplného poškození při malých přetvořeních.]
Zeitschrift für angewandte Mathematik und Physik. Roč. 60, č. 2 (2009), s. 205-236. ISSN 0044-2275. E-ISSN 1420-9039
R&D Projects: GA AV ČR IAA1075402
Institutional research plan: CEZ:AV0Z10750506
Keywords : Inelastic damage * small strain * variational inequality
Subject RIV: BA - General Mathematics
Impact factor: 1.092, year: 2009
http://library.utia.cas.cz/separaty/2009/MTR/roubicek-a complete-damage problem at small strains.pdf

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.

Článek s zabývá úlohou úplného poškození při malých přetvořeních.
Permanent Link: http://hdl.handle.net/11104/0170791