Generators of hyperbolic heat equation in nonlinear thermoelasticity
Global existence of solutions of the equations of one-dimensional thermoviscoelasticity with initial data in and
Il criterio dell'energia e l'equazione di Maxwell-Cattaneo nella termoelasticità non lineare
By means of the energy method we determine the behaviour of the canonical free energy of an elastic body, immersed in an environment that is thermally and mechanically passive; we use as constitutive equation for the heat flux a Maxwell-Cattaneo like equation.
Initial-boundary value problem in nonlinear hyperbolic thermoelasticity. Some applications in continuum mechanics [Book]
-resolvent estimates and time decay for generalized thermoelastic plate equations.
Lamb's plane problem in a thermoelastic micropolar medium with stretch.
Large time behavior of solutions to the Cauchy problem for one-dimensional thermoelastic system with dissipation.
Libere vibrazioni di solidi termoelastici incomprimibili
Local existence of the solution to the initial-boundary value problem in nonlinear thermodiffusion in micropolar medium.
Loss of exponential stability for a thermoelastic system with memory.
Magnetoelastic plane waves in rotating media in thermoelasticity of type II (G-N model).
Magneto-thermoelastic waves in a perfectly conducting elastic half-space in thermoelasticity III.
Magneto-viscoelastic plane waves in rotating media in the generalized thermoelasticity II.
Mathematical treatment for thermoelastic plate with a curvilinear hole in S-plane
The Cauchy integral method has been applied to derive exact and closed expressions for Goursat's functions for the first and second fundamental problems for an infinite thermoelastic plate weakened by a hole having arbitrary shape. The plate considered is conformally mapped to the area of the right half-plane. Many previous discussions of various authors can be considered as special cases of this work. The shape of the hole being an ellipse, a crescent, a triangle, or a cut having the shape of a...
Mesoscopic description of boundary effects in nanoscale heat transport
We review some of the most important phenomena due to the phonon-wall collisions in nonlocal heat transport in nanosystems, and show how they may be described through certain slip boundary conditions in phonon hydrodynamics. Heat conduction in nanowires of different cross sections and in thin layers is analyzed, and the dependence of the thermal conductivity on the geometry, as well as on the roughness is pointed out. We also analyze the effects of the roughness of the surface of the pores on the...
Mesures de défaut de compacité, application au système de Lamé
Morphological analysis and variational formulation in heterogeneous thermoelasticity.
This paper is devoted to several applications of morphological analysis applied to the bounding of the overall behaviour of composite materials. In particular we focus our attention to the generalization of the Hashin-Shtrikmann variational principles to thermoelasticity.
Null controllability of a thermoelastic plate.
Numerical analysis of the quasistatic thermoviscoelastic thermistor problem
In this work, the quasistatic thermoviscoelastic thermistor problem is considered. The thermistor model describes the combination of the effects due to the heat, electrical current conduction and Joule's heat generation. The variational formulation leads to a coupled system of nonlinear variational equations for which the existence of a weak solution is recalled. Then, a fully discrete algorithm is introduced based on the finite element method to approximate the spatial variable and an Euler scheme...
Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle
In this paper we consider a hyperbolic-parabolic problem that models the longitudinal deformations of a thermoviscoelastic rod supported unilaterally by an elastic obstacle. The existence and uniqueness of a strong solution is shown. A finite element approximation is proposed and its convergence is proved. Numerical experiments are reported.