Now showing items 1-20 of 113

  • A Caginalp phase-field system based on type III heat conduction with two temperatures 

    Miranville, Alain; Quintanilla de Latorre, Ramón (2016-06-01)
    Article
    Open Access
    Our aim in this paper is to study a generalization of the Caginalp phasefield system based on the theory of type III thermomechanics with two temperatures for the heat conduction. In particular, we obtain well-posedness ...
  • A Caginalp phase-field system with a nonlinear coupling 

    Miranville, Alain; Quintanilla de Latorre, Ramón (2010-08-01)
    Article
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    Our aim in this article is to study a Caginalp phase-field system based on a thermomechanical theory of deformable continua proposed by Green and Naghdi (called type III thermoelasticity) and with a nonlinear coupling. ...
  • A conserved phase-field system based on the Maxwell–Cattaneo law 

    Miranville, Alain; Quintanilla de Latorre, Ramón (2013-06-01)
    Article
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    Our aim in this paper is to study a generalization of the conserved Caginalp phasefield system based on the Maxwell–Cattaneo law for heat conduction and endowed with Neumann boundary conditions. In particular, we obtain ...
  • A generalization of the Allen–Cahn equation 

    Miranville, Alain; Quintanilla de Latorre, Ramón (2015-04-01)
    Article
    Open Access
    Our aim in this paper is to study generalizations of the Allen–Cahn equation based on a modification of the Ginzburg–Landau free energy proposed in S. Torabi et al. (2009, A new phase-field model for strongly anisotropic ...
  • A generalization of the Caginalp phase-field system based on the Cattaneo law 

    Miranville, Alain; Quintanilla de Latorre, Ramón (Elsevier, 2009)
    Article
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    We consider in this article a generalization of the Caginalp model for phase transitions based on the Maxwell Cattaneo law, instead of the classical Fourier law. In particular, we prove the existence and uniqueness of ...
  • 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
    Open Access
    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 ...
  • Analysis of a thermoelastic problem of type III 

    Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2020-06)
    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 ...
  • Analysis of the equations governing the motion of a degrading elastic solid due to diffusion of a fluid 

    Quintanilla de Latorre, Ramón; Rajagopal, Kumbakonam (2014-10)
    Article
    Open Access
    Degradation of solids bearing load due to the infusion of moisture when exposed to the environment can leads to a decrease in their load carrying capacity and can also lead to the failure of the body from performing its ...
  • Analyticity in porous-thermoelasticity with microtemperatures 

    Pamplona, Paulo Xavier; Muñoz Rivera, Jaime E.; Quintanilla de Latorre, Ramón (2012-10-15)
    Article
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    In this note we study the analyticity of the solutions to the one-dimensional porouselasticity problem with temperatures and microtemperatures when viscoelasticity and porous viscosity effects are also present. We show ...
  • Analyticity of solutions in type III thermoelastic plates 

    Liu, Zhuangyi; Quintanilla de Latorre, Ramón (2010-06-01)
    Article
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    In this paper, we consider the system of equations that governs the evolution of the homogeneous and isotropic prestressed type III thermoelastic plates. We prove that the semigroup that generates the solutions to this ...
  • Analyticity of solutions in type III thermoelastic plates [republished article] 

    Liu, Zhuangyi; Quintanilla de Latorre, Ramón (2010-08-01)
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    In this paper, we consider the system of equations that governs the evolution of the homogeneous and isotropic prestressed type III thermoelastic plates. We prove that the semigroup that generates the solutions to this ...
  • An a priori error analysis of poro-thermoviscoelastic problems 

    Bazarra, Noelia; Fernández, Jose R.; Quintanilla de Latorre, Ramón (Elsevier, 2020-08-15)
    Article
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    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 ...
  • A note on a non-standard problem for an equation with a delay term 

    Quintanilla de Latorre, Ramón (2010-07-01)
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    In this note we investigate the continuous dependence of the solutions for a theory of heat conduction with a delay term. We use energy arguments to obtain the continuous dependence results and spectral arguments to prove ...
  • A note on the two temperature theory with dual-phase-lag delay: some exact solutions 

    Quintanilla de Latorre, Ramón; Jordan, P.M. (Elsevier, 2009-10)
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    In this note we present exact solutions of two initial-boundary value problems (IBVP)s in the setting of a recently-introduced theory of heat conduction, wherein the two temperature theory of the late 1960s is merged ...
  • A Phase-field model based on a three-phase-lag heat conduction 

    Miranville, Alain; Quintanilla de Latorre, Ramón (2011-02-01)
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    Our aim in this article is to study a phase-field system based on a three-phase-lag for the termal flux vector. In particular, we prove the existence and uniqueness of solutions and then study the spatial behavior of the ...
  • 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)
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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 ...
  • Asymptotic behavior of a Cahn-Hilliard/Allen-Cahn system with temperature 

    Miranville, Alain; Quintanilla de Latorre, Ramón; Saoud, Wafa (2020-04)
    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 ...
  • A well-posed problem for the three-dual-phase-lag heat conduction 

    Quintanilla de Latorre, Ramón (2009-12)
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  • Continuous dependence on initial geometry in linear elastodynamics on a half cylinder 

    Knops, R.J.; Quintanilla de Latorre, Ramón (Elsevier, 2009)
    Article
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    Continuous dependence on the initial time geometry is established for the mean-square integral of the displacement in a linear inhomogeneous anisotropic elastic semi-infinite cylinder in motion subject to a prescribed ...
  • Decay of solutions for a mixture of thermoelastic one dimensional solids 

    Muñoz Rivera, Jaime E.; Naso, Maria-Grazia; Quintanilla de Latorre, Ramón (2013-08-01)
    Article
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    We study a PDE system modeling thermomechanical deformations for a mixture of thermoelastic solids. In particular we investigate the asymptotic behavior of the solutions. First, we identify conditions on the constitutive ...