Now showing items 1-14 of 14

    • A poro-thermoelastic problem with dissipative heat conduction 

      Bazarra, Noelia; Fernández, Jose R.; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2020-07-18)
      Article
      Open Access
      In this work, we study from the mathematical and numerical points of view a poro-thermoelastic problem. A long-term memory is assumed on the heat equation. Under some assumptions on the constitutive tensors, the resulting ...
    • A type III porous-thermo-elastic problem with quasi-static microvoids 

      Bazarra, Noelia; Castejon, Alberto; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-07-03)
      Article
      Open Access
      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 ...
    • A type III thermoelastic problem with mixtures 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-06)
      Article
      Restricted access - publisher's policy
      In this work we study a thermoelastic problem involving binary mixtures. Type III thermal theory is considered for the modeling of the heat conduction. Existence, uniqueness and continuous dependence of solutions are proved ...
    • An a priori error analysis of a Lord–Shulman poro-thermoelastic problem with microtemperatures 

      Baldonado, Jacobo; Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2020-10)
      Article
      Open Access
      In this paper, we deal with the numerical analysis of the Lord–Shulman thermoelastic problem with porosity and microtemperatures. The thermomechanical problem leads to a coupled system composed of linear hyperbolic partial ...
    • An a priori error analysis of poro-thermoviscoelastic problems 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (Elsevier, 2020-08-15)
      Article
      Restricted access - publisher's policy
      In this paper, we study, from the numerical point of view, a dynamic one-dimensional problem arising in thermoelasticity and thermoviscoelasticity of types II and III. Porosity is also included into the models. The generic ...
    • Analysis of a Moore-Gibson-Thompson thermoelastic problem 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-01-15)
      Article
      Restricted access - publisher's policy
      In this work, we numerically consider a thermoelastic problem where the thermal law is modeled using the so-called Moore-Gibson-Thompson equation. This thermomechanical problem is written as a coupled system composed of a ...
    • Analysis of a thermoelastic problem of type III 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2020-06)
      Article
      Open Access
      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 ...
    • Numerical analysis of a dual-phase-lag model with microtemperatures 

      Bazarra, Noelia; Copetti, Maria; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-08)
      Article
      Restricted access - publisher's policy
      In the last twenty years, the analysis of problems involving dual-phase-lag models has received an increasing attention. In this work, we consider the coupling between one of these models and the microtemperatures effects. ...
    • Numerical analysis of a type III thermo-porous-elastic problem with microtemperatures 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2020-09-01)
      Article
      Open Access
      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 ...
    • On existence and numerical approximation in phase-lag thermoelasticity with two temperatures 

      Campo, Marco; Copetti, Maria; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-04-26)
      Article
      Restricted access - publisher's policy
      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 approximate problem for the incremental thermoelasticity 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-02-25)
      Article
      Restricted access - publisher's policy
      In this work, we study an approximate problem arising in the incremental thermoelasticity. The existence of a unique solution is proved applying the theory of linear semigroups. The exponential energy decay is also considered. ...
    • On the viscoelastic mixtures of solids 

      Fernández, Jose R.; Magaña Nieto, Antonio; Masid, Maria; Quintanilla de Latorre, Ramón (2019-04)
      Article
      Open Access
      In this paper we analyze an homogeneous and isotropic mixture of viscoelastic solids. We propose conditions to guarantee the coercivity of the internal energy and also of the dissipation, first in dimension two and later ...
    • Two-temperatures thermo-porous-elasticity with microtemperatures 

      Fernández, Jose R.; Quintanilla de Latorre, Ramón (Elsevier, 2021-01)
      Article
      Restricted access - publisher's policy
      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 ...
    • Uniqueness and exponential instability in a new two-temperature thermoelastic theory 

      Fernández, Jose R.; Quintanilla de Latorre, Ramón (AMER INST MATHEMATICAL SCIENCES-AIMS, 2021-03-15)
      Article
      Open Access
      IIn this work we consider the temperature-rate dependent two temperatures thermoelastic theory. It has been proposed very recently. We study the case in which the elasticity tensor may not be positive definite. Thus, the ...