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.File | Dimensione | Formato | |
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