Exponential decay of solutions in type II porous-thermo-elasticity with quasi-static microvoids
In this note we study the problem proposed by the one-dimensional thermo-porous-elasticity of type II with quasi-static microvoids or, in mathematical terms, when the second time derivative of the volume fraction is so small that it can be negligible. It is known that the isothermal deformations dec...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/328352 |
| Acceso en línea: | https://hdl.handle.net/2117/328352 https://dx.doi.org/10.1016/j.jmaa.2020.124504 |
| Access Level: | acceso abierto |
| Palabra clave: | Thermoelasticity Type II thermoelasticity Quasi-static microvoids Exponential decay Termoelasticitat Classificació AMS::74 Mechanics of deformable solids Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| Sumario: | In this note we study the problem proposed by the one-dimensional thermo-porous-elasticity of type II with quasi-static microvoids or, in mathematical terms, when the second time derivative of the volume fraction is so small that it can be negligible. It is known that the isothermal deformations decay in a slow way. Here we prove that the introduction of a conservative mechanism, as it is the type II heat conduction, makes the deformations damp generically in an exponential way, which is a striking fact. |
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