RT Journal Article
T1 A type III porous-thermo-elastic problem with quasi-static microvoids
A1 Bazarra Garcia, Noelia
A1 Castejón Lafuente, Alberto Elias
A1 Fernández García, José Ramón
A1 Quintanilla, Ramón
K1 12 Matemáticas
K1 1206.02 Ecuaciones Diferenciales
K1 2501.21 Simulación Numérica
AB In 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.
PB Meccanica
SN 00256455
YR 2021
FD 2021-07-03
LK http://hdl.handle.net/11093/2313
UL http://hdl.handle.net/11093/2313
LA eng
NO Meccanica, (2021)
NO Agencia Estatal de Investigación | Ref. PGC2018-096696-B-I00
DS Investigo
RD 08-sep-2024