Existence results for a nonlinear problem modeling the displacement of a solid in a transverse flow
Existence theorem in the linear theory of multipolar elasticity
Exponential decay to partially thermoelastic materials
We study the thermoelastic system for material which are partially thermoelastic. That is, a material divided into two parts, one of them a good conductor of heat, so there exists a thermoelastic phenomenon. The other is a bad conductor of heat so there is not heat flux. We prove for such models that the solution decays exponentially as time goes to infinity. We also consider a nonlinear case.
Exponential stability and global attractors for a thermoelastic bresse system.
Exponential stability of a von Kármán model with thermal effects.
Factor spaces and implications of Kirchhoff equations with clamped boundary conditions.
Finite element analysis of sloshing and hydroelastic vibrations under gravity
Finite element analysis of sloshing and hydroelastic vibrations under gravity
This paper deals with a finite element method to solve fluid-structure interaction problems. More precisely it concerns the numerical computation of harmonic hydroelastic vibrations under gravity. It is based on a displacement formulation for both the fluid and the solid. Gravity effects are included on the free surface of the fluid as well as on the liquid-solid interface. The pressure of the fluid is used as a variable for the theoretical analysis leading to a well posed mixed linear eigenvalue...
Finite element methods for coupled thermoelasticity and coupled consolidation of clay
First boundary value problem of electroelasticity for a transversally isotropic plane with curvilinear cuts.
Fluid flow in collapsible elastic tubes: a three-dimensional numerical model.
Fluid-structure interaction : analysis of a 3-D compressible model
Frictional contact of an anisotropic piezoelectric plate
The purpose of this paper is to derive and study a new asymptotic model for the equilibrium state of a thin anisotropic piezoelectric plate in frictional contact with a rigid obstacle. In the asymptotic process, the thickness of the piezoelectric plate is driven to zero and the convergence of the unknowns is studied. This leads to two-dimensional Kirchhoff-Love plate equations, in which mechanical displacement and electric potential are partly decoupled. Based on this model numerical examples are presented...
Generators of hyperbolic heat equation in nonlinear thermoelasticity
Global existence of solutions of the equations of one-dimensional thermoviscoelasticity with initial data in and
Guided waves in a fluid layer on an elastic irregular bottom.
In this paper one considers the linearized problem to determine the movement of an ideal heavy fluid contained in an unbounded container withelastic walls. As initial data one knows the movement of both the bottom and the free surface of the fluid and also the strength of certain perturbation, strong enough to take the bottom out of its rest state.One important point to be considered regards the influence of the bottom’s geometry on the propagation of superficial waves. This problem has been already...
Higher period stochastic bifurcation of nonlinear airfoil fluid-structure interaction.
Homogenization of thin piezoelectric perforated shells
We rigorously establish the existence of the limit homogeneous constitutive law of a piezoelectric composite made of periodically perforated microstructures and whose reference configuration is a thin shell with fixed thickness. We deal with an extension of the Koiter shell model in which the three curvilinear coordinates of the elastic displacement field and the electric potential are coupled. By letting the size of the microstructure going to zero and by using the periodic unfolding method combined...
Homogenized models for a short-time filtration in elastic porous media.