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| The present talk concerns the analysis of a model for adhesive
contact between a thermoviscoelastic body and a rigid
support. The related PDE system features the quasi-static momentum balance, the equation governing the evolution of a surface damage parameter and the equations for the temperature in the bulk domain and on the contact surface.
The main difficulties connected to the analytical investigation are due
to the presence of multivalued operators rendering physical
constraints on the variables, as well as to the contact
conditions, to the singular character of the
temperature equations, and to the highly nonlinear coupling between
the equations themselves. Global-in-time existence
results are proved.
The presented results have been obtained in collaboration with
Elena Bonetti and Riccarda Rossi. |
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