On the MGT-micropolar viscoelasticity
In this short paper we analyze, from both analytical and numerical points of view, a dynamic problem arising in micropolar viscoelasticity. An existence and uniqueness result is proved by using the theory of linear semigroups. The exponential decay of the solution is also shown. Then, by using the f...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| 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:2117/380765 |
| Acceso en línea: | https://hdl.handle.net/2117/380765 https://dx.doi.org/10.1016/j.mechrescom.2022.103948 |
| Access Level: | acceso abierto |
| Palabra clave: | Thermoelasticity Micropolar Moore–Gibson–Thompson material Existence and uniqueness Finite elements Error estimates Numerical simulations Termoelasticitat 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 short paper we analyze, from both analytical and numerical points of view, a dynamic problem arising in micropolar viscoelasticity. An existence and uniqueness result is proved by using the theory of linear semigroups. The exponential decay of the solution is also shown. Then, by using the finite element method and the implicit Euler scheme, a fully discrete approximation is introduced. A priori error estimates are proved, from which the linear convergence is derived under adequate additional regularity conditions. Finally, a one-dimensional numerical example is presented to show the accuracy of the approximation. |
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