Local-solution approach to quasistatic rate-independent mixed-mode delamination
Abstract
The 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 1-homogeneous potential of dissipative force driving the delamination depends only on rates of internal parameters. An efficient fractional-step-type semi-implicit discretisation 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 discretisation, this convergence as well as relevancy of such solution concept are demonstrated on a nontrivial 2-dimensional example.
Keywords
Cite
@article{arxiv.1412.8593,
title = {Local-solution approach to quasistatic rate-independent mixed-mode delamination},
author = {Tomas Roubicek and Christos Panagiotopoulos and Vladislav Mantic},
journal= {arXiv preprint arXiv:1412.8593},
year = {2014}
}