Some nonlinear and nonlocal Sturm-Liouville problems motivated by the problem of flutter.
Some problems of thermoelastic equilibrium of a rectangular parallelepiped in terms of asymmetric elasticity.
Some remarks on growth and uniqueness in thermoelasticity.
Space-time discontinuous Galerkin method for the solution of fluid-structure interaction
The paper is concerned with the application of the space-time discontinuous Galerkin method (STDGM) to the numerical solution of the interaction of a compressible flow and an elastic structure. The flow is described by the system of compressible Navier-Stokes equations written in the conservative form. They are coupled with the dynamic elasticity system of equations describing the deformation of the elastic body, induced by the aerodynamical force on the interface between the gas and the elastic...
Spectral/hp elements in fluid structure interaction
This work presents simulations of incompressible fluid flow interacting with a moving rigid body. A numerical algorithm for incompressible Navier-Stokes equations in a general coordinate system is applied to two types of body motion, prescribed and flow-induced. Discretization in spatial coordinates is based on the spectral/hp element method. Specific techniques of stabilisation, mesh design and approximation quality estimates are described and compared. Presented data show performance of the solver...
Stabilisation d'un modèle d'interaction fluide-structure
Stability for dissipative magneto-elastic systems
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.
Stability of a Finite Thermoelastic Deformation of a Fibre-Reinforced Massive Slab
Stability of the interface between two immiscible fluids in porous media.
Stabilization of a layered piezoelectric 3-D body by boundary dissipation
We consider a linear coupled system of quasi-electrostatic equations which govern the evolution of a 3-D layered piezoelectric body. Assuming that a dissipative effect is effective at the boundary, we study the uniform stabilization problem. We prove that this is indeed the case, provided some geometric conditions on the region and the interfaces hold. We also assume a monotonicity condition on the coefficients. As an application, we deduce exact controllability of the system with boundary control...
Stacionární teplotní pole v nekonečném válci při součiniteli přestupu tepla periodicky proměnném podél obvodu
Strong asymptotic stability for n-dimensional thermoelasticity systems
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.
Sui fondamenti della termomeccanica dei continui polari
Sulla propagazione e sull'evoluzione di onde nei solidi termoelastici. Nota II
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.
Sulla propagazione e sull'evoluzione di onde nei solidi termoelastici. Nota I
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.
Sulla ricerca di onde di interfaccia in termo-elasticità
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.
Sulla unicità della entropia nella termoelasticità di Cattaneo-Maxwell
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.
Sull'equilibrio di un involucro elastico pieno di gas. Nota 2
In questa Nota, che è il seguito della Nota precedente, proseguiamo lo studio del problema di equilibrio di un involucro elastico pieno di gas, considerando piccole perturbazioni di una configurazione di equilibrio, prodotte da insufflazioni o desufflazioni di piccole quantità di gas. Limitando la nostra attenzione al caso che l'involucro sia una corona sferica che subisce solo deformazioni radiali, mostriamo che, per un valore critico dello spessore della corona, il carattere non locale delle condizioni...
Sull'equilibrio termoelastico di un particolare solido incomprimibile
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...
Symplectic analytical solutions for the magnetoelectroelastic solids plane problem in rectangular domain.