Now showing items 1-10 of 10

  • Analysis for the strain gradient theory of porous thermoelasticity 

    Fernández, José Ramón; Magaña Nieto, Antonio; Masid, Maria; Quintanilla de Latorre, Ramón (2019-01-01)
    Article
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    In this paper, we analyse a model involving a strain gradient thermoelastic rod with voids. Existence and uniqueness, as well as an energy decay property, are proved by means of the semigroup arguments. The variational ...
  • A problem with viscoelastic mixtures: numerical analysis and computational experiments 

    Fernández, José Ramón; Masid, Maria; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-12-06)
    Article
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    In this paper, we study, from the numerical point of view, a dynamic problem involving a mixture of two viscoelastic solids. The mechanical problem is written as a system of two coupled partial differential equations. Its ...
  • Numerical analysis of a dual-phase-lag model involving two temperatures 

    Bazarra, Noelia; Fernández, José Ramón; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-12-27)
    Article
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    In this paper, we numerically analyse a phase-lag model with two temperatures which arises in the heat conduction theory. The model is written as a linear partial differential equation of third order in time. The variational ...
  • Numerical analysis of a thermoelastic problem with dual-phase-lag heat conduction 

    Bazarra, Noelia; Campo, Marco; Fernández, José Ramón; Quintanilla de Latorre, Ramón (2019-06)
    Article
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    In this paper we study, from the numerical point of view, a thermoelastic problem with dual-phase-lag heat conduction. The variational formulation is written as a coupled system of hyperbolic linear variational equations. ...
  • Numerical analysis of some dual-phase-lag models 

    Bazarra, Noelia; Copetti, Maria; Fernández, José Ramón; Quintanilla de Latorre, Ramón (2019-01-15)
    Article
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    In this paper we analyse, from the numerical point of view, two dual-phase-lag models appearing in the heat conduction theory. Both models are written as linear partial differential equations of third order in time. The ...
  • Numerical resolution of an exact heat conduction model with a delay term 

    Campo, Marco; Fernández, José Ramón; Quintanilla de Latorre, Ramón (2019-02)
    Article
    Open Access
    In this paper we analyze, from the numerical point of view, a dynamic thermoelastic problem. Here, the so-called exact heat conduction model with a delay term is used to obtain the heat evolution. Thus, the thermomechanical ...
  • On the exponential decay of solutions in dual-phase-lag porous thermoelasticity 

    Fernández, José Ramón; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (Springer, 2019-06-03)
    Part of book or chapter of book
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    In the last years, a big interest has been developed to understand the time decay of solutions for the porous thermoelasticity with different thermal mechanisms. We here want to consider the problem of the one-dimensional ...
  • On the linear thermoelasticity with two porosities: numerical aspects 

    Bazarra, Noelia; Fernández, José Ramón; Leseduarte Milán, María Carme; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-10-30)
    Article
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    In this work we analyze, from the numerical point of view, a dynamic problem involving a thermoelastic rod. Two porosities are considered: the first one is the macro-porosity, connected with the pores of the material, and ...
  • On the thermoelasticity with two porosities: asymptotic behaviour 

    Bazarra, Noelia; Fernández, José Ramón; Leseduarte Milán, María Carme; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-09-01)
    Article
    Open Access
    In this paper we consider the one-dimensional version of thermoelasticity with two porous structures and porous dissipation on one or both of them. We first give an existence and uniqueness result by means of semigroup ...
  • On the uniqueness and analyticity in viscoelasticity with double porosity 

    Bazarra, Noelia; Fernández, José Ramón; Leseduarte Milán, María Carme; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2019-04-01)
    Article
    Open Access
    In this paper we analyze the system of equations that models the behaviour of materials with a double porous structure. We introduce dissipation mechanisms in both structures. We show existence, uniqueness and analyticity ...