Adhesive contact delaminating at mixed mode, its thermodynamics and analysis
Abstract
An adhesive unilateral contact between visco-elastic heat-conductive bodies in linear Kelvin-Voigt rheology is scrutinised. The flow-rule for debonding the adhesive is considered rate independent, unidirectional, and non-associative due to dependence on the mixity of modes of delamination, namely of Mode I (opening) and of Mode II (shearing). Such mode-mixity dependence of delamination is a very pronounced (and experimentally confirmed) phenomenon typically considered in engineering models. An anisothermal, thermodynamically consistent model is derived, considering a heat-conductive viscoelastic material and the coupling via thermal expansion and adhesion-depending heat transition through the contact surface. We prove the existence of weak solutions by passing to the limit in a carefully designed semi-implicit time-discretization scheme.
Keywords
Cite
@article{arxiv.1110.2794,
title = {Adhesive contact delaminating at mixed mode, its thermodynamics and analysis},
author = {Riccarda Rossi and Tomas Roubicek},
journal= {arXiv preprint arXiv:1110.2794},
year = {2011}
}