Articles de revistahttp://hdl.handle.net/2117/33392024-03-29T14:31:30Z2024-03-29T14:31:30ZEnergy decay in thermoelastic bodies with radial symmetryBazarra, NoeliaFernández Bernárdez, José RamónQuintanilla de Latorre, Ramónhttp://hdl.handle.net/2117/3677982022-06-02T12:33:19Z2022-05-27T11:21:57ZEnergy decay in thermoelastic bodies with radial symmetry
Bazarra, Noelia; Fernández Bernárdez, José Ramón; Quintanilla de Latorre, Ramón
In this paper, we consider the energy decay of some problems involving domains with radial symmetry. Three different settings are studied: a strong porous dissipation and heat conduction, a weak porous dissipation and heat conduction and poro-thermoelasticity with microtemperatures. In all the three problems, the exponential energy decay is shown. Moreover, for each of them some finite element simulations are presented to numerically demonstrate this behavior
2022-05-27T11:21:57ZBazarra, NoeliaFernández Bernárdez, José RamónQuintanilla de Latorre, RamónIn this paper, we consider the energy decay of some problems involving domains with radial symmetry. Three different settings are studied: a strong porous dissipation and heat conduction, a weak porous dissipation and heat conduction and poro-thermoelasticity with microtemperatures. In all the three problems, the exponential energy decay is shown. Moreover, for each of them some finite element simulations are presented to numerically demonstrate this behaviorOn the time decay for the MGT-type porosity problemsBaldonedo, JacoboFernández, Jose R.Quintanilla de Latorre, Ramónhttp://hdl.handle.net/2117/3626542022-07-08T10:27:39Z2022-02-21T08:53:13ZOn the time decay for the MGT-type porosity problems
Baldonedo, Jacobo; Fernández, Jose R.; Quintanilla de Latorre, Ramón
In this work we study three different dissipation mechanisms arising in the so-called Moore-Gibson-Thompson porosity. The three cases correspond to the MGT-porous hyperviscosity (fourth-order term), the MGT-porous viscosity (second-order term) and the MGT-porous weak viscosity (zerothorder term). For all the cases, we prove that there exists a unique solution to the problem and we analyze the resulting point spectrum. We also show that there is an exponential energy decay for the first case, meanwhile for the second and third case only a polynomial decay is found. Finally, we present some one-dimensional numerical simulations to illustrate the behaviour of the discrete energy for each case
2022-02-21T08:53:13ZBaldonedo, JacoboFernández, Jose R.Quintanilla de Latorre, RamónIn this work we study three different dissipation mechanisms arising in the so-called Moore-Gibson-Thompson porosity. The three cases correspond to the MGT-porous hyperviscosity (fourth-order term), the MGT-porous viscosity (second-order term) and the MGT-porous weak viscosity (zerothorder term). For all the cases, we prove that there exists a unique solution to the problem and we analyze the resulting point spectrum. We also show that there is an exponential energy decay for the first case, meanwhile for the second and third case only a polynomial decay is found. Finally, we present some one-dimensional numerical simulations to illustrate the behaviour of the discrete energy for each caseNumerical analysis of a problem involving a viscoelastic body with double porosityBazarra, NoeliaFernández, Jose R.Leseduarte Milán, María CarmeMagaña Nieto, AntonioQuintanilla de Latorre, Ramónhttp://hdl.handle.net/2117/3625332022-05-17T11:35:49Z2022-02-17T08:30:00ZNumerical analysis of a problem involving a viscoelastic body with double porosity
Bazarra, Noelia; Fernández, Jose R.; Leseduarte Milán, María Carme; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón
We study from a numerical point of view a multidimensional problem involving a vis- coelastic body with two porous structures. The mechanical problem leads to a linear system of three coupled hyperbolic partial differential equations. Its corresponding varia- tional formulation gives rise to three coupled parabolic linear equations. An existence and uniqueness result, and an energy decay property, are recalled. Then, fully discrete approx- imations are introduced using the finite element method and the implicit Euler scheme. A discrete stability property and a priori error estimates are proved, from which the linear convergence of the algorithm is derived under suitable additional regularity conditions. Finally, some numerical simulations are performed in one and two dimensions to show the accuracy of the approximation and the behaviour of the solution.
2022-02-17T08:30:00ZBazarra, NoeliaFernández, Jose R.Leseduarte Milán, María CarmeMagaña Nieto, AntonioQuintanilla de Latorre, RamónWe study from a numerical point of view a multidimensional problem involving a vis- coelastic body with two porous structures. The mechanical problem leads to a linear system of three coupled hyperbolic partial differential equations. Its corresponding varia- tional formulation gives rise to three coupled parabolic linear equations. An existence and uniqueness result, and an energy decay property, are recalled. Then, fully discrete approx- imations are introduced using the finite element method and the implicit Euler scheme. A discrete stability property and a priori error estimates are proved, from which the linear convergence of the algorithm is derived under suitable additional regularity conditions. Finally, some numerical simulations are performed in one and two dimensions to show the accuracy of the approximation and the behaviour of the solution.On a mixture of an MGT viscous material and an elastic solidFernández, Jose R.Quintanilla de Latorre, Ramónhttp://hdl.handle.net/2117/3617172022-05-17T10:21:08Z2022-02-04T12:50:45ZOn a mixture of an MGT viscous material and an elastic solid
Fernández, Jose R.; Quintanilla de Latorre, Ramón
A lot of attention has been paid recently to the study of mixtures and also to the Moore–Gibson–Thompson (MGT) type equations or systems. In fact, the MGT proposition can be used to describe viscoelastic materials. In this paper, we analyze a problem involving a mixture composed by a MGT viscoelastic type material and an elastic solid. To this end, we first derive the system of equations governing the deformations of such material. We give the suitable assumptions to obtain an existence and uniqueness result. The semigroups theory of linear operators is used. The paper concludes by proving the exponential decay of solutions with the help of a characterization of the exponentially stable semigroups of contractions and introducing an extra assumption. The impossibility of location is also shown.
2022-02-04T12:50:45ZFernández, Jose R.Quintanilla de Latorre, RamónA lot of attention has been paid recently to the study of mixtures and also to the Moore–Gibson–Thompson (MGT) type equations or systems. In fact, the MGT proposition can be used to describe viscoelastic materials. In this paper, we analyze a problem involving a mixture composed by a MGT viscoelastic type material and an elastic solid. To this end, we first derive the system of equations governing the deformations of such material. We give the suitable assumptions to obtain an existence and uniqueness result. The semigroups theory of linear operators is used. The paper concludes by proving the exponential decay of solutions with the help of a characterization of the exponentially stable semigroups of contractions and introducing an extra assumption. The impossibility of location is also shown.Time decay for porosity problemsBaldonedo, JacoboFernández, Jose R.Quintanilla de Latorre, Ramónhttp://hdl.handle.net/2117/3610062022-07-08T10:22:20Z2022-01-28T12:07:02ZTime decay for porosity problems
Baldonedo, Jacobo; Fernández, Jose R.; Quintanilla de Latorre, Ramón
In this paper, we numerically study porosity problems with three different dissipa-
tion mechanisms. The root behavior is analyzed for each case. Then, by using the
finite element method and the Newmark- scheme, fully discrete approximations are
introduced and some numerical results are described to show the energy evolution
depending on the viscosity coefficient.
2022-01-28T12:07:02ZBaldonedo, JacoboFernández, Jose R.Quintanilla de Latorre, RamónIn this paper, we numerically study porosity problems with three different dissipa-
tion mechanisms. The root behavior is analyzed for each case. Then, by using the
finite element method and the Newmark- scheme, fully discrete approximations are
introduced and some numerical results are described to show the energy evolution
depending on the viscosity coefficient.Time decay for several porous thermoviscoelastic systems of Moore-Gibson-Thompson typeBazarra, NoeliaFernández, Jose R.Magaña Nieto, AntonioQuintanilla de Latorre, Ramónhttp://hdl.handle.net/2117/3557102022-12-19T12:53:17Z2021-11-05T12:50:45ZTime decay for several porous thermoviscoelastic systems of Moore-Gibson-Thompson type
Bazarra, Noelia; Fernández, Jose R.; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón
In this paper, we consider several problems arising in the theory of thermoelastic bodies with voids. Four particular
cases are considered depending on the choice of the constitutive tensors, assuming different dissipation mechanisms determined
by Moore-Gibson-Thompson-type viscosity. For all of them, the existence and uniqueness of solutions are shown by using
semigroup arguments. The energy decay of the solutions is also analyzed for each case.
2021-11-05T12:50:45ZBazarra, NoeliaFernández, Jose R.Magaña Nieto, AntonioQuintanilla de Latorre, RamónIn this paper, we consider several problems arising in the theory of thermoelastic bodies with voids. Four particular
cases are considered depending on the choice of the constitutive tensors, assuming different dissipation mechanisms determined
by Moore-Gibson-Thompson-type viscosity. For all of them, the existence and uniqueness of solutions are shown by using
semigroup arguments. The energy decay of the solutions is also analyzed for each case.Spatial behaviour of solutions of the Moore-Gibson-Thompson equationOstoja-Starzewski, MartinQuintanilla de Latorre, Ramónhttp://hdl.handle.net/2117/3557082022-10-15T00:25:41Z2021-11-05T12:33:08ZSpatial behaviour of solutions of the Moore-Gibson-Thompson equation
Ostoja-Starzewski, Martin; Quintanilla de Latorre, Ramón
In this note we study the spatial behaviour of the Moore-Gibson-Thompson equation. As it is a hyperbolic equation, we prove that the solutions do not grow along certain spatial-time lines. Given the presence of dissipation, we show that the solutions also decay exponentially in certain directions.
2021-11-05T12:33:08ZOstoja-Starzewski, MartinQuintanilla de Latorre, RamónIn this note we study the spatial behaviour of the Moore-Gibson-Thompson equation. As it is a hyperbolic equation, we prove that the solutions do not grow along certain spatial-time lines. Given the presence of dissipation, we show that the solutions also decay exponentially in certain directions.An a priori error analysis of a porous strain gradient modelBaldonedo, JacoboFernández, José RamónMagaña Nieto, AntonioQuintanilla de Latorre, Ramónhttp://hdl.handle.net/2117/3510352022-09-04T00:28:02Z2021-09-10T10:37:51ZAn a priori error analysis of a porous strain gradient model
Baldonedo, Jacobo; Fernández, José Ramón; Magaña Nieto, Antonio; Quintanilla de Latorre, Ramón
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 the displacement
and porosity fields. The resulting variational formulation is used to approximate the solution by the finite element method
and the implicit Euler scheme. A discrete stability property and a priori error estimates are proved, from which the linear
convergence of the numerical scheme is deduced under adequate regularity conditions. Finally, some numerical simulations
are presented to show the accuracy of the finite element scheme studied previously, the evolution of the discrete energy
and the behavior of the solution.
2021-09-10T10:37:51ZBaldonedo, JacoboFernández, José RamónMagaña Nieto, AntonioQuintanilla de Latorre, RamónIn 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 the displacement
and porosity fields. The resulting variational formulation is used to approximate the solution by the finite element method
and the implicit Euler scheme. A discrete stability property and a priori error estimates are proved, from which the linear
convergence of the numerical scheme is deduced under adequate regularity conditions. Finally, some numerical simulations
are presented to show the accuracy of the finite element scheme studied previously, the evolution of the discrete energy
and the behavior of the solution.Dual-phase-lag one-dimensional thermo-porous-elasticity with microtemperaturesLiu, ZhuangyiQuintanilla de Latorre, Ramónhttp://hdl.handle.net/2117/3510272022-05-17T11:53:03Z2021-09-10T10:01:27ZDual-phase-lag one-dimensional thermo-porous-elasticity with microtemperatures
Liu, Zhuangyi; Quintanilla de Latorre, Ramón
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. Existence, uniqueness, and exponential decay of solutions are proved. Polynomial stability is also obtained in the case that the relaxation parameters satisfy a certain equality. Our arguments are based on the theory of semigroups of linear operators.
2021-09-10T10:01:27ZLiu, ZhuangyiQuintanilla de Latorre, RamónThis 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. Existence, uniqueness, and exponential decay of solutions are proved. Polynomial stability is also obtained in the case that the relaxation parameters satisfy a certain equality. Our arguments are based on the theory of semigroups of linear operators.Dual-phase-lag heat conduction with microtemperaturesLiu, ZhuangyiQuintanilla de Latorre, RamónWang, Yanghttp://hdl.handle.net/2117/3495262022-07-14T00:29:02Z2021-07-16T09:56:27ZDual-phase-lag heat conduction with microtemperatures
Liu, Zhuangyi; Quintanilla de Latorre, Ramón; Wang, Yang
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 and dissipative. On this base we prove the well-posedness and exponential stability of the system by means of the semigroup theory and frequency domain method.
2021-07-16T09:56:27ZLiu, ZhuangyiQuintanilla de Latorre, RamónWang, YangIn 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 and dissipative. On this base we prove the well-posedness and exponential stability of the system by means of the semigroup theory and frequency domain method.