Abstract. Consider a Kirchhoff plate ∂2 t u+Δ 2u−∂2 t Δu = 0 in Ω× (0, T ), with boundary data u = Δu = 0 on ∂Ω×(0, T ) and unknown initial data u(·, 0) = u0 and ∂tu(·, 0) = u1 in Ω. We study an inverse problem of determining (u0, u1) from an interior observation u|ω×(0,T ). Here Ω is a bounded domain, ω a nonempty open subset of Ω, and T > 0 a suitable time duration. By means of an iterative t...

geometrically nonlinear governing equations for a plate with linear viscoelastic material are derived. the material model is of boltzmann superposi¬tion principle type. a third-order displacement field is used to model the shear deformation effects. for the solution of the nonlinear governing equations the dynamic relaxation (dr) iterative method together with the finite difference discretizati...

This paper focuses on the development of a method for accurate representation strong structural–acoustic coupling between an elastic Helmholtz resonator, heavy fluid and impedance tube. The resonator has wall is connected to tube, yielding system with two acoustic cavities coupled through neck fluid–structure interaction liquid medium plate. proposed analytical formulation based modal superposi...

We study the problem describing incidence of a plane wave on semiinfinite thin Kirchhoff plate with periodic traction-free-edge. prove that any perturbation boundary, except for straight cracks parallel to generates trapped mode provided angle is not zero.

Abstract: In this paper asymptotic models describing the mechanical and electric equilibrium state of two types of smart structures are presented and justified. The first structure consists of an anisotropic elastic thin plate with two surface bonded anisotropic piezoelectric patches and the second one is an anisotropic elastic sandwich thin plate with an inserted anisotropic piezoelectric patc...

In this article, by using critical point theory, we show the existence of infinitely many weak solutions for a fourth-order Kirchhoff type elliptic problems with Hardy potential.

A non-classical model for transversely isotropic magneto-electro-elastic circular Kirchhoff plates is established based on the extended modified couple stress theory. The Gibbs-type variational principle used to obtain governing equations and boundary conditions. To illustrate newly derived model, static bending problem of a clamped plate subjected uniformly distributed constant load solved num...

Simulation is helpful for evaluating the performances of inspection techniques and requires the modeling of waves scattering from defects. Two classical flaw scattering models have been previously evaluated and implemented in the CIVA platform developed by CEA/LIST to deal with planar defects: the geometrical theory of diffraction (GTD) and the Kirchhoff approximation (KA). These two approaches...