Now showing items 1-12 of 138

    • An a priori error analysis of a porous strain gradient model 

      Baldonedo, Jacobo; Fernández, José Ramón; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (Wiley-VCH, 2021-09-04)
      Article
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      In this work, we consider, from the numerical point of view, a boundary-initial value problem for non-simple porous elastic materials. The mechanical problem is written as a coupled hyperbolic linear system in terms of ...
    • Dual-phase-lag one-dimensional thermo-porous-elasticity with microtemperatures 

      Liu, Zhuangyi; Quintanilla de Latorre, Ramón (2021-09)
      Article
      Open Access
      This paper is devoted to studying the linear system of partial differential equations modelling a one-dimensional thermo-porous-elastic problem with microtemperatures in the context of the dual-phase-lag heat conduction. ...
    • Dual-phase-lag heat conduction with microtemperatures 

      Liu, Zhuangyi; Quintanilla de Latorre, Ramón; Wang, Yang (2021-07-14)
      Article
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      In this paper, we propose a system of equations governing the dual-phase-lag heat conduction with microtemperatures. Several conditions on the coefficients are imposed so that the energy of the system is positive definite ...
    • 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 ...
    • On the theory of chiral plates and associated system of Timoshenko–Ehrenfest type 

      Iesan, Dorin; Quintanilla de Latorre, Ramón (2021-09)
      Article
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      The chiral effects cannot be described by means of the classical theory of elasticity. In this paper we study the thermoelastic deformation of chiral plates in the context of the strain gradient theory of thermoelasticity. ...
    • Porous-elastic plates: Fourier versus type III 

      Fernandez Sare, Hugo D.; Quintanilla de Latorre, Ramón (2021-06-09)
      Article
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      In this paper we investigate the time decay of the solutions for a thermoelastic plate with voids in the cases when the heat conduction is modeled by the Fourier law and when it is modeled by the type III theory (with and ...
    • Decay of quasi-static porous-thermo-elastic waves 

      Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón (2021-06)
      Article
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      We study the behavior in time of the solutions to several systems of equations for porous-thermo-elastic problems when one of the variables is considered to be quasi-static or, in other words, whose second time derivative ...
    • On the instability, nonexistence and spatial behaviour of the one-dimensional response of a new class of elastic bodies 

      Quintanilla de Latorre, Ramón; Rajagopal, Kumbakonam (2021-05-22)
      Article
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      In this note we consider 1D problems within the context of a new class of elastic bodies. Under suitable conditions on the constitutive equations we prove instability and nonexistence of solutions similar to those in place ...
    • 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
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      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 ...
    • A new approach to MGT-thermoviscoelasticity 

      Conti, Monica; Pata, Vittorino; Pellicer Sabadí, Marta; Quintanilla de Latorre, Ramón (American Institute of Mathematical Sciences, 2021-04-06)
      Article
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      In this paper we discuss some thermoelastic and thermoviscoelastic models obtained from the Gurtin theory, based on the invariance of the entropy under time reversal. We derive differential systems where the temperature ...
    • Numerical analysis of a dual-phase-lag model with microtemperatures 

      Bazarra, Noelia; Copetti, Maria; Fernández, Jose R.; Quintanilla de Latorre, Ramón (2021-08)
      Article
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      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. ...
    • 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 ...