In the context of thermo-elasticity we consider initial boundary value problems governed by parabolic and hyperbolic heat propagations. In particular, we describe the evolution of the temperature and displacement fields in a one dimensional string attached to a rigid substrate through an adhesive layer. This adhesive interaction is characterized by a nonlinear term describing the adhesion force exhibiting discontinuities when a critical value of the displacement is reached, in the limit of parabolic heat propagation. We study the well-posedness of the problem under Neumann boundary conditions in the two different regimes of heat propagation and investigate the long time dynamics.

Thermo-elastic waves in a model with nonlinear adhesion

Marilena Ligabo;
2023-01-01

Abstract

In the context of thermo-elasticity we consider initial boundary value problems governed by parabolic and hyperbolic heat propagations. In particular, we describe the evolution of the temperature and displacement fields in a one dimensional string attached to a rigid substrate through an adhesive layer. This adhesive interaction is characterized by a nonlinear term describing the adhesion force exhibiting discontinuities when a critical value of the displacement is reached, in the limit of parabolic heat propagation. We study the well-posedness of the problem under Neumann boundary conditions in the two different regimes of heat propagation and investigate the long time dynamics.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/421976
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