Browsing by Author "Quintanilla de Latorre, Ramón"
Now showing items 1-20 of 164
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A Caginalp phase-field system based on type III heat conduction with two temperatures
(2016-06-01)
Article
Open AccessOur 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
(2010-08-01)
Article
Restricted access - publisher's policyOur 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
(2013-06-01)
Article
Restricted access - publisher's policyOur 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
(2015-04-01)
Article
Open AccessOur 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
(Elsevier, 2009)
Article
Restricted access - publisher's policyWe 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 new approach to MGT-thermoviscoelasticity
(American Institute of Mathematical Sciences, 2021-10)
Article
Open AccessIn 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 ... -
A note on a non-standard problem for an equation with a delay term
(2010-07-01)
Article
Restricted access - publisher's policyIn 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
(Elsevier, 2009-10)
Article
Restricted access - publisher's policyIn 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
(2011-02-01)
Article
Restricted access - publisher's policyOur 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
(2020-07-18)
Article
Open AccessIn 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
(2021)
Article
Open AccessIn 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 porous-thermo-elastic problem with quasi-static microvoids
(2021-12)
Article
Open AccessIn 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 ... -
A type III thermoelastic problem with mixtures
(2021-06)
Article
Open AccessIn 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
(2009-12)
Article
Restricted access - publisher's policy -
An a priori error analysis of a Lord–Shulman poro-thermoelastic problem with microtemperatures
(2020-10)
Article
Open AccessIn 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 a porous strain gradient model
(Wiley-VCH, 2022-01)
Article
Open AccessIn 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 ... -
An a priori error analysis of a type III thermoelastic problem with two porosities
(2023-03)
Article
Open AccessIn this work, we study, from the numerical point of view, a type III thermoelastic model with double porosity. The thermomechanical problem is written as a linear system composed of hyperbolic partial differential equations ... -
An a priori error analysis of poro-thermoviscoelastic problems
(Elsevier, 2020-08-15)
Article
Open AccessIn 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
(2019-01-01)
Article
Open AccessIn 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
(2021-01-15)
Article
Open AccessIn 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 ...
