Thermoelasticity with temperature and microtemperatures with fading memory
In this paper, we investigate a model of poro-thermoelasticity with microtemperatures, where the behavior of the body is influenced by the history of both temperature and microtemperatures. Mathematically, this translates into a system of partial integro-differential equations. Under suitable condit...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| 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:2117/379648 |
| Acceso en línea: | https://hdl.handle.net/2117/379648 https://dx.doi.org/10.1177/10812865221115359 |
| Access Level: | acceso abierto |
| Palabra clave: | Thermoelasticity Fading memory Microtemperatures Porous elasticity Exponential decay Termoelasticitat Classificació AMS::35 Partial differential equations::35B Qualitative properties of solutions Classificació AMS::74 Mechanics of deformable solids::74D Materials of strain-rate type and history type, other materials with memory Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències |
| Sumario: | In this paper, we investigate a model of poro-thermoelasticity with microtemperatures, where the behavior of the body is influenced by the history of both temperature and microtemperatures. Mathematically, this translates into a system of partial integro-differential equations. Under suitable condition on the tensors appearing in the model, we prove that the resulting system is well posed. In the one-dimensional case, the exponential decay of the energy is prove |
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