Now showing items 1-20 of 125

    • 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)
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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)
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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 ...
    • 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)
      Article
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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 poro-thermoelastic problem with dissipative heat conduction 

      Bazarra, Noelia; Fernández, Jose R.; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2020-07-18)
      Article
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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 ...
    • 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
      Open Access
      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 ...
    • 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 ...
    • A well-posed problem for the three-dual-phase-lag heat conduction 

      Quintanilla de Latorre, Ramón (2009-12)
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    • 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 ...
    • 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 ...
    • 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 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 ...
    • 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)
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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 ...