An adhesive unilateral contact problem between visco-elastic heat-conductive 1 bodies in linear Kelvin-Voigt rheology is scrutinized. 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.
1
Università degli Studi di Brescia, Italy
2
Charles University, Praha, Czech Republic
Riccarda Rossi; Tomáš Roubíček. Adhesive contact delaminating at mixed mode, its thermodynamics and analysis. Interfaces and free boundaries, Tome 15 (2013) no. 1, pp. 1-37. doi: 10.4171/ifb/293
@article{10_4171_ifb_293,
author = {Riccarda Rossi and Tom\'a\v{s} Roub{\'\i}\v{c}ek},
title = {Adhesive contact delaminating at mixed mode, its thermodynamics and analysis},
journal = {Interfaces and free boundaries},
pages = {1--37},
year = {2013},
volume = {15},
number = {1},
doi = {10.4171/ifb/293},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/293/}
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