Now showing items 1-12 of 123

    • On the quasi-static approximation in the initial boundary value problem of linearised elastodynamics 

      Knops, Robin J.; Quintanilla de Latorre, Ramón (2021-02)
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      Continuous data dependence estimates are employed to rigorously derive conditions that validate the quasi-static approximation for the initial homogeneous boundary value problem in the theory of small elastic deformations ...
    • Moore-Gibson-Thompson theory for thermoelastic dielectrics 

      Fernández, José Ramón; Quintanilla de Latorre, Ramón (2021-01-14)
      Article
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      We consider the system of equations determining the linear thermoelastic deformations of dielectrics within the recently called Moore-Gibson-Thompson (MGT) theory. First, we obtain the system of equations for such a case. ...
    • A type III thermoelastic problem with mixtures 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-06)
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      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 ...
    • Spatial estimates for Kelvin-Voigt finite elasticity with nonlinear viscosity: well behaved solutions in space. 

      Quintanilla de Latorre, Ramón; Saccomandi, Giuseppe (2020-08-18)
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      We provide some spatial estimates for the nonlinear partial di erential equation governing anti-plane motions in a nonlinear viscoelastic theory of Kelvin-Voigt type when the viscosity is a function of the strain rate. The ...
    • Exponential decay of solutions in type II porous-thermo-elasticity with quasi-static microvoids 

      Magaña Nieto, Antonio; Miranville, Alain; Quintanilla de Latorre, Ramón (2020-12-15)
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      In this note we study the problem proposed by the one-dimensional thermo-porous-elasticity of type II with quasi-static microvoids or, in mathematical terms, when the second time derivative of the volume fraction is so ...
    • Numerical analysis of a type III thermo-porous-elastic problem with microtemperatures 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2020-09-01)
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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 ...
    • A poro-thermoelastic problem with dissipative heat conduction 

      Bazarra, Noelia; Fernández, Jose R.; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2020-07-18)
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      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 ...
    • Two-temperatures thermo-porous-elasticity with microtemperatures 

      Fernández, Jose R.; Quintanilla de Latorre, Ramón (Elsevier, 2021-01)
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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 ...
    • 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 (2020-07-08)
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      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 ...
    • Moore-Gibson-Thompson thermoelasticity with two temperatures 

      Quintanilla de Latorre, Ramón (Elsevier, 2020-05)
      Article
      Open Access
      In this note we propose the Moore-Gibson-Thompson heat conduction equation with two temperatures and prove the well posedness and the exponential decay of the solutions under suitable conditions on the constitutive parameters. ...
    • Analysis of a Moore-Gibson-Thompson thermoelastic problem 

      Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-01-15)
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      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 ...
    • On the analyticity of the MGT-viscoelastic plate with heat conduction 

      Conti, Monica; Pata, Vittorino; Pellicer, Marta; Quintanilla de Latorre, Ramón (2020-10)
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      We consider a viscoelastic plate equation of Moore-Gibson-Thompson type coupled with two different kinds of thermal laws, namely, the usual Fourier one and the heat conduction law of type III. In both cases, the resulting ...