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Weierstraß-Institut für Angewandte Analysis und Stochastik From an adhesive to a brittle delamination model in thermo-visco-elasticity
Mathematics Subject Classification. 35K85, 47J20, 49J45, 49S05, 74F07
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 thefatcat:y46mu2iobnbrfcrmtoz7s4vvri