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Time decay for several porous thermoviscoelastic systems of Moore-Gibson-Thompson type
(2021-10-27)
Article
Open AccessIn this paper, we consider several problems arising in the theory of thermoelastic bodies with voids. Four particular cases are considered depending on the choice of the constitutive tensors, assuming different dissipation ... -
Spatial behaviour of solutions of the Moore-Gibson-Thompson equation
(Springer Nature, 2021-11)
Article
Restricted access - publisher's policyIn this note we study the spatial behaviour of the Moore-Gibson-Thompson equation. As it is a hyperbolic equation, we prove that the solutions do not grow along certain spatial-time lines. Given the presence of dissipation, ... -
An a priori error analysis of a porous strain gradient model
(Wiley-VCH, 2021-09-04)
Article
Restricted access - publisher's policyIn this work, we consider, from the numerical point of view, a boundary-initial value problem for non-simple porous elastic materials. The mechanical problem is written as a coupled hyperbolic linear system in terms of ... -
Dual-phase-lag one-dimensional thermo-porous-elasticity with microtemperatures
(2021-09)
Article
Open AccessThis paper is devoted to studying the linear system of partial differential equations modelling a one-dimensional thermo-porous-elastic problem with microtemperatures in the context of the dual-phase-lag heat conduction. ... -
Dual-phase-lag heat conduction with microtemperatures
(2021-07-14)
Article
Restricted access - publisher's policyIn this paper, we propose a system of equations governing the dual-phase-lag heat conduction with microtemperatures. Several conditions on the coefficients are imposed so that the energy of the system is positive definite ... -
A type III porous-thermo-elastic problem with quasi-static microvoids
(2021-07-03)
Article
Open AccessIn 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 ... -
On the theory of chiral plates and associated system of Timoshenko–Ehrenfest type
(2021-09)
Article
Restricted access - publisher's policyThe chiral effects cannot be described by means of the classical theory of elasticity. In this paper we study the thermoelastic deformation of chiral plates in the context of the strain gradient theory of thermoelasticity. ... -
Porous-elastic plates: Fourier versus type III
(2021-06-09)
Article
Restricted access - publisher's policyIn this paper we investigate the time decay of the solutions for a thermoelastic plate with voids in the cases when the heat conduction is modeled by the Fourier law and when it is modeled by the type III theory (with and ... -
Decay of quasi-static porous-thermo-elastic waves
(2021-06)
Article
Restricted access - publisher's policyWe study the behavior in time of the solutions to several systems of equations for porous-thermo-elastic problems when one of the variables is considered to be quasi-static or, in other words, whose second time derivative ... -
On the instability, nonexistence and spatial behaviour of the one-dimensional response of a new class of elastic bodies
(2021-05-22)
Article
Restricted access - publisher's policyIn this note we consider 1D problems within the context of a new class of elastic bodies. Under suitable conditions on the constitutive equations we prove instability and nonexistence of solutions similar to those in place ... -
On existence and numerical approximation in phase-lag thermoelasticity with two temperatures
(2021-04-26)
Article
Restricted access - publisher's policyIn this work we study from both variational and numerical points of view a thermoelastic problem which appears in the dual-phase-lag theory with two temperatures. An existence and uniqueness result is proved in the general ... -
A new approach to MGT-thermoviscoelasticity
(American Institute of Mathematical Sciences, 2021-10)
Article
Restricted access - publisher's policyIn this paper we discuss some thermoelastic and thermoviscoelastic models obtained from the Gurtin theory, based on the invariance of the entropy under time reversal. We derive differential systems where the temperature ...
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