Uniqueness and decay in local thermal non-equilibrium double porosity thermoelasticity
Abstract
This paper studies a model for thermoelasticity where the body has a double porosity structure. There are the usual pores associated to a porous body, herein called macro pores. In addition, the solid skeleton contains cracks or fissures that give rise to a micro porosity. The fully anisotropic situation is analyzed. We firstly establish uniqueness of a solution to the boundary-initial value problem when the elastic coefficients are sign indefinite and are required to satisfy only major symmetry. Furthermore, in the quasi-equilibrium case, where the solid acceleration is neglected, we demonstrate that a solution to the boundary-initial value problem with zero boundary conditions will decay to zero in a certain sense, under the assumption that there are no sources and external body force involved.
- Publication:
-
Mathematical Methods in the Applied Sciences
- Pub Date:
- November 2018
- DOI:
- 10.1002/mma.5190
- Bibcode:
- 2018MMAS...41.6763F