Next Article in Journal
Symmetry and Dissymmetry in Protein Structure—System-Coding Its Biological Specificity
Next Article in Special Issue
Symmetry in Applied Continuous Mechanics
Previous Article in Journal
Hydrodynamic-Interaction Analysis of an Autonomous Underwater Hovering Vehicle and Ship with Wave Effects
Previous Article in Special Issue
Synthesis on the Acceleration Energies in the Advanced Mechanics of the Multibody Systems
Open AccessArticle

Analysis of a Poro-Thermo-Viscoelastic Model of Type III

1
Departamento de Matemática Aplicada I, Universidade de Vigo, ETSI Telecomunicación, Campus As Lagoas Marcosende s/n, 36310 Vigo, Spain
2
Departamento de Ingeniería Mecánica, Máquinas y Motores Térmicos y Fluídos, Escola de Enxeñaría Industrial, Campus As Lagoas Marcosende s/n, 36310 Vigo, Spain
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(10), 1214; https://doi.org/10.3390/sym11101214
Received: 26 August 2019 / Revised: 25 September 2019 / Accepted: 26 September 2019 / Published: 29 September 2019
(This article belongs to the Special Issue Symmetry in Applied Continuous Mechanics)
In this work, we numerically study a thermo-mechanical problem arising in poro-viscoelasticity with the type III thermal law. The thermomechanical model leads to a linear system of three coupled hyperbolic partial differential equations, and its weak formulation as three coupled parabolic linear variational equations. Then, using the finite element method and the implicit Euler scheme, for the spatial approximation and the discretization of the time derivatives, respectively, a fully discrete algorithm is introduced. A priori error estimates are proved, and the linear convergence is obtained under some suitable regularity conditions. Finally, some numerical results, involving one- and two-dimensional examples, are described, showing the accuracy of the algorithm and the dependence of the solution with respect to some constitutive parameters. View Full-Text
Keywords: viscoelasticity; type III thermal law; finite elements; error estimates; numerical results viscoelasticity; type III thermal law; finite elements; error estimates; numerical results
Show Figures

Figure 1

MDPI and ACS Style

Bazarra, N.; López-Campos, J.A.; López, M.; Segade, A.; Fernández, J.R. Analysis of a Poro-Thermo-Viscoelastic Model of Type III. Symmetry 2019, 11, 1214.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop