Some problems of thermoelastic equilibrium of a rectangular parallelepiped in terms of asymmetric elasticity.
In this survey we first recall results on the asymptotic behavior of solutions in classical thermoelasticity. Then we report on recent results in linear magneto-thermo-elasticity and magneto-elasticity, respectively.
We use a new approach to prove the strong asymptotic stability for n-dimensional thermoelasticity systems. Unlike the earlier works, our method can be applied in the case of feedbacks with no growth assumption at the origin, and when LaSalle's invariance principle cannot be applied due to the lack of compactness.
According to a thermodynamic theory proposed by G. Grioli, we consider the problem of determining the solutions for the growth of acceleration waves in an elastic body. At first we determine a property of the velocities of waves propagation and we determine some limitations for the free energy; then we resolve the above mentioned problem for the «small» waves working on the iperacceleration waves.
According to a thermodynamic theory proposed by G. Grioli, we consider the problem of determining the solutions for the growth of acceleration waves in an elastic body. At first we determine a property of the velocities of waves propagation and we determine some limitations for the free energy; then we resolve the above mentioned problem for the «small» waves working on the iperacceleration waves.
In this paper we study waves propagation along a traction free surface of a infinite body composed of two different thermoelastic isotropic half-spaces in welded contact.
In this paper we prove that for elastic, isotropic, omogeneus materials for which the heat flux vector obey the relation of Cattaneo there is a unique continuously differentiable entropy function.
We consider an incompressible elastic solid which admits a configuration of equilibrium having the shape of a rectangular parallelepiped when external forces are absent. We look for a thermoelastic transformation mapping that configuration onto a cylindrical wedge . The problem we consider is analogous to the one where both and are cylindrical crowns. This case has been considered by T. Manacorda Referring to a system of cylindrical coordinates , and , we show that the transformation...