descriptionPublicationkeyboard_double_arrow_right Article 03 Jul 2021 English Publisher:Springer Science and Business Media LLCJournal:Meccanica, volume 56, pages 3,025-3,037 (issn: 0025-6455, eissn: 1572-9648,

Authors: Bazarra, Noelia; Castejon, Alberto; Fernández, Jose R.; Quintanilla de Latorre, Ramón;

doi: 10.1007/s11012-021-01398-0

handle: 2117/349448 , 11093/2313

A type III porous-thermo-elastic problem with quasi-static microvoids

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Abstract

AbstractIn this work we study, from the numerical point of view, a one-dimensional thermoelastic problem where the thermal law is of type III. Quasi-static microvoids are also assumed within the model. The variational formulation leads to a coupled linear system made of variational equations and it is written in terms of the velocity, the volume fraction and the temperature. Fully discrete approximations are introduced by using the finite element method and the backward Euler method. A discrete stability property and a priori error estimates are proved, deriving the linear convergence under adequate additional regularity. Finally, some numerical simulations are presented to demonstrate the accuracy of the approximation and the behavior of the solution.

Related Organizations

Universitat Politècnica de Catalunya
Spain
Universitat Polite`cnica de Catalunya
Spain
Universidade de Vigo
Spain

Keywords

:74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects [Classificació AMS], Classificació AMS::74 Mechanics of deformable solids::74K Thin bodies, Finite elements, A priori error analysis, Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects, :74 Mechanics of deformable solids::74K Thin bodies, structures [Classificació AMS], :Matemàtiques i estadística::Matemàtica aplicada a les ciències [Àrees temàtiques de la UPC], Quasi-static microvoids, Classificació AMS::65 Numerical analysis::65M Partial differential equations, Numerical simulations, initial value and time-dependent initial-boundary value problems, 2501.21 Simulación Numérica, Classificació AMS::74 Mechanics of deformable solids::74K Thin bodies, structures, Classificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems, Thermoelasticity, :65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems [Classificació AMS], 12 Matemáticas, structures, Type III thermoelasticity, 1206.02 Ecuaciones Diferenciales, Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències, Numerical simulations., Termoelasticitat

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