Now showing items 41-60 of 108

  • Mathematical results concerning a class of incompressible viscoelastic solids of differential type 

    Quintanilla de Latorre, Ramón; Rajagopal, Kumbakonam (2011-03-01)
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    In this paper we investigate several mathematical aspects concerning a class of incompressible viscoelastic solids of the differential type. The model that we consider can be viewed as a generalization of the Kelvin—Voigt ...
  • Moore–Gibson–Thompson thermoelasticity 

    Quintanilla de Latorre, Ramón (2019-07-21)
    Article
    Open Access
    We consider a thermoelastic theory where the heat conduction is escribed by the Moore–Gibson–Thompson equation. In fact, this equation can be obtained after the introduction of a relaxation parameter in the Green–Naghdi ...
  • Non-linear deformations of porous elastic solids 

    Iesan, Dorin; Quintanilla de Latorre, Ramón (2013-03-01)
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    This paper is concerned with the non-linear theory of porouselastic bodies. First, we present the basic equations in general curvilinear coordinates. The constitutive equations for porouselastic bodies with incompressible ...
  • 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)
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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)
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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)
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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 a Caginalp phase-field system with two temperatures and memory 

    Conti, Monica; Gatti, Stefania; Miranville, Alain; Quintanilla de Latorre, Ramón (2017-06)
    Article
    Open Access
    The Caginalp phase-field system has been proposed in [4] as a simple mathematical model for phase transition phenomena. In this paper, we are concerned with a generalization of this system based on the Gurtin-Pipkin law ...
  • On a strain gradient theory of thermoviscoelasticity 

    Iesan, Dorin; Quintanilla de Latorre, Ramón (2013-03-01)
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    This paper is concerned with a strain gradient theory of thermoviscoelasticity in which the time derivatives of the strain tensors are included in the set of independent constitutive variables. The theory is motivated by ...
  • On a theory of thermoelastic materials with double porosity structure 

    Iesan, Dorin; Quintanilla de Latorre, Ramón (2014-10-01)
    Article
    Open Access
    In this article, we use the Nunziato–Cowin theory of materials with voids to derive a theory of thermoelastic solids, which have a double porosity structure. The new theory is not based on Darcy's law. In the case of ...
  • On chiral effects in strain gradient elasticity 

    Iesan, Dorin; Quintanilla de Latorre, Ramón (2016-07-01)
    Article
    Open Access
    This paper is concerned with the problem of uniformly loaded bars in strain gradient elasticity. We study the deformation of an isotropic chiral bar subjected to body forces, to tractions on the lateral surface and to ...
  • On (non-)exponential decay in generalized thermoelasticity with two temperatures 

    Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón; Racke, Reinhard (Elsevier, 2017-08)
    Article
    Open Access
    We study solutions for the one-dimensional problem of the Green-Lindsay and the Lord-Shulman theories with two temperatures. First, existence and uniqueness of weakly regular solutions are obtained. Second, we prove the ...
  • On (non-)exponential decay in generalized thermoelasticity with two temperatures 

    Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón; Racke, Reinhard (2016-11)
    External research report
    Open Access
    We study solutions for the one-dimensional problem of the Green-Lindsay and the Lord-Shulman theories with two temperatures. First, existence and uniqueness of weakly regular solutions are obtained. Second, we prove the ...
  • On quasi-static approximations in linear thermoelastodynamics 

    Knops, Robin J.; Quintanilla de Latorre, Ramón (2018)
    Article
    Open Access
    The validity of the coupled and uncoupled quasi-static approximations is considered for the initial boundary value problem of linear thermoelasticity subject to homoge-neous Dirichlet boundary conditions, and for solutions ...
  • On the asymptotic spatial behaviour of the solutions of the nerve system 

    Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón (2015-03-01)
    Article
    Open Access
    In this paper we investigate the asymptotic spatial behavior of the solutions for several models for the nerve fibers. First, our analysis deals with the coupling of two parabolic equations. We prove that, under suitable ...
  • On the backward in time problem for the thermoelasticity with two temperatures 

    Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón (2014-05-01)
    Article
    Open Access
    This paper is devoted to the study of the existence, uniqueness, continuous dependence and spatial behaviour of the solutions for the backward in time problem determined by the Type III with two temperatures thermoelastodynamic ...
  • On the Caginalp phase-field systems with two temperatures and the Maxwell–Cattaneo law 

    Miranville, Alain; Quintanilla de Latorre, Ramón (2016-10-31)
    Article
    Open Access
    Our aim in this paper is to study generalizations of the nonconserved and conserved Caginalp phase-¿eld systems based on the Maxwell–Cattaneo law with two temperatures for heat conduction. In particular, we obtain ...
  • On the decay of solutions for porous-elastic systems with history 

    Pamplona, Paulo Xavier; Muñoz Rivera, Jaime E.; Quintanilla de Latorre, Ramón (2011-07-15)
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    In this paper we study the asymptotic behavior to an one-dimensional porous-elasticity problem with history. We show the lack of exponential stability when the porous dissipation or the elastic dissipation is absent. And ...
  • On the decay of solutions for the heat conduction with two temperatures 

    Leseduarte Milán, María Carme; Quintanilla de Latorre, Ramón (2013-03-01)
    Article
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    This paper is devoted to the study of the asymptotic behavior of the solutions of the system of equations that models the heat conduction with two temperatures. That is, we consider a mixture of isotropic and homogeneous ...
  • On the decay of solutions in nonsimple elastic solids with memory 

    Pata, Vittorino; Quintanilla de Latorre, Ramón (Elsevier, 2010-02)
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    The decay of solutions in nonsimple elasticity with memory is addressed, analyzing how the decay rate is influenced by the different dissipation mechanisms appearing in the equations. In particular, a first order dissipation ...