Lower dimensional models of shells are preferred in numerical computations to threedimensional models when the thickness of the shells is “very small”. A lot of work has been done on the lower dimensional approximation of boundary value and eigenvalue problem for elastic plates and shells (cf.[2], [3] [4], [5], [6], [8],[9]). Recently some work has been done on the lower dimensional approximati...

We discuss the parallelization of a Velocity-Stress FDTD (VS-FDTD) code for the simulation of the propagation of mechanical waves in three-dimensional microstructures. The C++ code has been parallelized using MPI making extensive use of the Blitz++ library for local computation. We present numerical results for pyramid shaped domains, representing the tip of a focusing lens, that we have obtain...

We consider elastic waves in materials with cylindrical orthotropy, this being a plausible model for wood. For time-harmonic motions, the problem is reduced to some coupled ordinary differential equations. Previously, these have been solved using the method of Frobenius (power-series expansions). We use Neumann series (expansions in Bessel functions of various orders), motivated by the known cl...

In this paper, the influence of the elastic foundation on the free vibration and buckling of thin-walled piezoelectric-based functionally graded materials (FGM) cylindrical shells under combined loadings is investigated. The equations of motion are obtained by using the principle of Hamilton and Maxwell's equations and the Navier's type solution used to solve these equations. Material propertie...