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oai:recercat.cat:2117/1291282026-02-09T07:21:32Zcom_2072_1033col_2072_452950

On quasi-static approximations in linear thermoelastodynamics Knops, Robin J. Quintanilla de Latorre, Ramón Universitat Politècnica de Catalunya. Departament de Matemàtiques Universitat Politècnica de Catalunya. GRAA - Grup de Recerca en Anàlisi Aplicada 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 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 Peer Reviewed Postprint (author's final draft) 2018 Article Knops, R.; Quintanilla, R. On quasi-static approximations in linear thermoelastodynamics. "Journal of thermal stresses", 2018, vol. 41, núm. 10-12, p. 1432-1449. 0149-5739 https://hdl.handle.net/2117/129128 10.1080/01495739.2018.1505448 eng https://www.tandfonline.com/doi/full/10.1080/01495739.2018.1505448 info:eu-repo/grantAgreement/MINECO/1PE/MTM2016-74934-P Open Access 18 p. application/pdf