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On the instability, nonexistence and spatial behaviour of the one-dimensional response of a new class of elastic bodies
(2021-05-22)
Article
Restricted access - publisher's policyIn 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
(2021-04-26)
Article
Restricted access - publisher's policyIn 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
(American Institute of Mathematical Sciences, 2021-04-06)
Article
Restricted access - publisher's policyIn 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
(2021-08)
Article
Restricted access - publisher's policyIn 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
(AMER INST MATHEMATICAL SCIENCES-AIMS, 2021-03-15)
Article
Open AccessIIn 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 ... -
On the approximate problem for the incremental thermoelasticity
(2021-02-25)
Article
Restricted access - publisher's policyIn this work, we study an approximate problem arising in the incremental thermoelasticity. The existence of a unique solution is proved applying the theory of linear semigroups. The exponential energy decay is also considered. ... -
On the regularity and stability of three-phase-lag thermoelastic plate
(2021-02-25)
Article
Restricted access - publisher's policyIn this paper we consider the following three-phase-lag thermoelastic plate u = ¿ ( u ¿ m ); c( _ + q ) = m (u_ + qu ) + (k + + k _): We obtain analyticity and exponential stability for the ... -
On the decay of the energy for radial solutions in Moore–Gibson–Thompson thermoelasticity
(2021-02-24)
Article
Open AccessIn this paper, we consider the Moore–Gibson–Thompson thermoelastic theory. We restrict our attention to radially symmetric solutions and we prove the exponential decay with respect to the time variable. We demonstrate this ... -
On the quasi-static approximation in the initial boundary value problem of linearised elastodynamics
(2021-02)
Article
Restricted access - publisher's policyContinuous data dependence estimates are employed to rigorously derive conditions that validate the quasi-static approximation for the initial homogeneous boundary value problem in the theory of small elastic deformations ... -
Moore-Gibson-Thompson theory for thermoelastic dielectrics
(2021-02)
Article
Restricted access - publisher's policyWe consider the system of equations determining the linear thermoelastic deformations of dielectrics within the recently called Moore-Gibson-Thompson (MGT) theory. First, we obtain the system of equations for such a case. ... -
A type III thermoelastic problem with mixtures
(2021-06)
Article
Restricted access - publisher's policyIn 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 ... -
Spatial estimates for Kelvin-Voigt finite elasticity with nonlinear viscosity: well behaved solutions in space.
(2020-11)
Article
Restricted access - publisher's policyWe provide some spatial estimates for the nonlinear partial di erential equation governing anti-plane motions in a nonlinear viscoelastic theory of Kelvin-Voigt type when the viscosity is a function of the strain rate. The ...
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