From an adhesive to a brittle delamination model in thermo-visco-elsticity

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Date
2012
Volume
1692
Issue
Journal
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Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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Abstract

We address the analysis of a model for brittle delamination of two visco-elastic bodies, bonded along a prescribed surface. The model also encompasses thermal effects in the bulk. The related PDE system for the displacements, the absolute temperature, and the delamination variable has a highly nonlinear character. On the contact surface, it features frictionless Signorini conditions and a nonconvex, brittle constraint acting as a transmission condition for the displacements. We prove the existence of (weak/energetic) solutions to the associated Cauchy problem, by approximating it in two steps with suitably regularized problems. We perform the two consecutive passages to the limit via refined variational convergence techniques.

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Keywords
Rate-independent evolution of adhesive contact, brittle delamination, Kelvin-Voigt viscoelasticity, nonlinear heat equation, Mosco-convergence, functions of bounded variation
Citation
Rossi, R., & Thomas, M. (2012). From an adhesive to a brittle delamination model in thermo-visco-elsticity (Vol. 1692). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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