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On existence and numerical approximation in phase-lag thermoelasticity with two temperatures
(2022-04)
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Article.
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In 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 ...
On the regularity and stability of three-phase-lag thermoelastic plate
(2022)
Article.
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Article.
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In this paper we consider the following three-phase-lag thermoelastic plate
u = ¿ ( u ¿ m );
c( _ + q ) = m (u_ + qu ) + (k +
+ k _):
We obtain analyticity and exponential stability for the ...
Lord–Shulman thermoelasticity with microtemperatures
(2021-10)
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Article.
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In this paper we consider the Lord–Shulman thermoelastic theory with porosity and microtemperatures. The new aspect we propose here is to introduce a relaxation param- eter in the microtemperatures. Then we obtain an ...
On the theory of chiral plates and associated system of Timoshenko–Ehrenfest type
(2021-09)
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Article.
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The 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. ...
Analysis of a thermoelastic problem of type III
(2020-06)
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Article.
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This paper investigates several aspects of the linear type III thermoelastic theory. First, we consider the most general system of equations for this theory in the case that the conductivity rate is not definite and we ...
Asymptotic behavior of a Cahn-Hilliard/Allen-Cahn system with temperature
(2020-04)
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Article.
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The main goal of this paper is to study the asymptotic behavior of a coupled Cahn-Hilliard/Allen-Cahn system with temperature. The work is divided into two parts: In the rst part, the heat equation is based on the usual ...
Numerical analysis of a problem involving a viscoelastic body with double porosity
(2022-02)
Article.
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Article.
Accés restringit per política de l'editorial
We study from a numerical point of view a multidimensional problem involving a vis- coelastic body with two porous structures. The mechanical problem leads to a linear system of three coupled hyperbolic partial differential ...
Numerical analysis of a type III thermo-porous-elastic problem with microtemperatures
(2020-09-01)
Article.
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Article.
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In this work, we consider, from the numerical point of view, a poro-thermoelastic problem. The thermal law is the so-called of type III and the microtemperatures are also included into the model. The variational formulation ...
Two-temperatures thermo-porous-elasticity with microtemperatures
(Elsevier, 2021-01)
Article.
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Article.
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In this note, we study a linear system of partial differential equations modelling a one-dimensional two-temperatures thermo-porous-elastic problem with microtemperatures. A new system of conditions is proposed to guarantee ...
Exponential decay in one-dimensional Type II/III thermoelasticity with two porosities
(2020-07-30)
Article.
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Article.
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In this paper we consider the theory of thermoelasticity with a double porosity structure in the context of the Green-Naghdi types II and III heat conduction models. For the type II, the problem is given by four hyperbolic ...