Local-solution approach to quasistatic rate-independent mixed-mode delamination

0443371 - ÚT 2016 RIV SG eng J - Journal Article
Roubíček, Tomáš - Panagiotopoulos, C.G. - Mantič, V.
Local-solution approach to quasistatic rate-independent mixed-mode delamination.
Mathematical Models and Methods in Applied Sciences. Roč. 25, č. 7 (2015), s. 1337-1364. ISSN 0218-2025. E-ISSN 1793-6314
R&D Projects: GA ČR GAP201/10/0357
Institutional support: RVO:61388998
Keywords : Interface fracture * inelastic debonding * variational inequality
Subject RIV: BA - General Mathematics
Impact factor: 3.084, year: 2015
http://www.worldscientific.com/doi/abs/10.1142/S0218202515500347

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.
Permanent Link: http://hdl.handle.net/11104/0246305