Finite element approximations of the von Kármán equations
Finite element formulation of forced vibration problem of a prestretched plate resting on a rigid foundation.
Finite elements methods for solving viscoelastic thin plates
The present paper deals with numerical solution of a viscoelastic plate. The discrete problem is defined by -elements and a linear multistep method. The effect of numerical integration is studied as well. The rate of cnvergence is established. Some examples are given in the conclusion.
Flambage des plaques élastiques multiperforées
Flexible plate and foundation modelling.
Free vibrations for the equation of a rectangular thin plate
In the paper, we deal with the equation of a rectangular thin plate with a simply supported boundary. The restoring force being an odd superlinear function of the vertical displacement, the existence of infinitely many nonzero time-periodic solutions is proved.
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...
Fundamental problems for infinite plate with a curvilinear hole having finite poles.
Fundamental tones and buckling loads of clamped plates
Group method analysis of two-dimensional plate in heat flux.
Guided waves in a fluid-loaded transversely isotropic plate.
-FEM for three-dimensional elastic plates
In this work, we analyze hierarchic -finite element discretizations of the full, three-dimensional plate problem. Based on two-scale asymptotic expansion of the three-dimensional solution, we give specific mesh design principles for the -FEM which allow to resolve the three-dimensional boundary layer profiles at robust, exponential rate. We prove that, as the plate half-thickness tends to zero, the -discretization is consistent with the three-dimensional solution to any power of in the energy...
Higher order variational inequalities with non-standard growth conditions in dimension two: plates with obstacles.
Higher order variational problems on two-dimensional domains.
Homogénéisation de structures minces en béton armé
Homogenization and effective properties of plates weakened by partially penetrating fissures : convergence and duality
Homogenization limits of diffusion equations in thin domains
hp-FEM for three-dimensional elastic plates
In this work, we analyze hierarchic hp-finite element discretizations of the full, three-dimensional plate problem. Based on two-scale asymptotic expansion of the three-dimensional solution, we give specific mesh design principles for the hp-FEM which allow to resolve the three-dimensional boundary layer profiles at robust, exponential rate. We prove that, as the plate half-thickness ε tends to zero, the hp-discretization is consistent with the three-dimensional solution to any power of ε in...
Hybrid variational principles and their use in the finite element method
Impédance d'une plaque élastique reliée en trois points à un support rigide vibrant