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Title:
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On quasi-static approximations in linear thermoelastodynamics
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Author:
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Knops, Robin J.; Quintanilla de Latorre, Ramón
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada |
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Abstract:
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The validity of the coupled and uncoupled quasi-static approximations is considered for the initial boundary value problem of linear thermoelasticity subject to homoge-neous Dirichlet boundary conditions, and for solutions and their derivatives that are mean-square integrable. Essential components in the proof, of independent interest, are conservation laws and associated estimates for the exact and approximate systems |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
-Thermoelasticity
-thermoelastodynamics
-Coupled quasi-static approximations
-Uncoupled quasistatic approximations
-Mean-square estimates
-Termoelasticitat
-Classificació AMS::35 Partial differential equations::35Q Equations of mathematical physics and other areas of application
-Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects |
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Rights:
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Document type:
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Article - Submitted version
Article |
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