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Local-solution approach to quasistatic rate-independent mixed-mode delamination
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SYSNO ASEP 0443371 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Local-solution approach to quasistatic rate-independent mixed-mode delamination Author(s) Roubíček, Tomáš (UT-L) RID, ORCID
Panagiotopoulos, C.G. (ES)
Mantič, V. (ES)Number of authors 3 Source Title Mathematical Models and Methods in Applied Sciences. - : World Scientific Publishing - ISSN 0218-2025
Roč. 25, č. 7 (2015), s. 1337-1364Number of pages 28 s. Publication form Print - P Language eng - English Country SG - Singapore Keywords Interface fracture ; inelastic debonding ; variational inequality Subject RIV BA - General Mathematics R&D Projects GAP201/10/0357 GA ČR - Czech Science Foundation (CSF) Institutional support UT-L - RVO:61388998 UT WOS 000352861500004 EID SCOPUS 84928622466 DOI 10.1142/S0218202515500347 Annotation The model of quasistatic rate-independent evolution of a delamination at small strains in the so-called mixed mode, i.e. distinguishing opening (Mode I) from shearing (Mode II), is rigorously analyzed in the context of a concept of stress-driven local solutions. The model has separately convex stored energy and is associative, namely the one-homogeneous potential of dissipative forces driving the delamination depends only on rates of internal parameters. An efficient fractional-step-type semi-implicit discretization in time is shown to converge to (specific, stress-driven like) local solutions that may approximately obey the maximum-dissipation principle. Making still a spatial discretization, this convergence as well as relevancy of such solution concept are demonstrated on a nontrivial two-dimensional example. Workplace Institute of Thermomechanics Contact Marie Kajprová, kajprova@it.cas.cz, Tel.: 266 053 154 ; Jana Lahovská, jaja@it.cas.cz, Tel.: 266 053 823 Year of Publishing 2016
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