This paper deals with an approximate solution of Saint-Venant torsion problem orthotropic bar solid cross section. The boundary collocation is used to get the analytical problem. Examples illustrate applications presented numerical solution.

The plane strain problem of determining strain energy release rate, crack energy, and crack-opening displacement (COD) for a moving Griffith crack at the interface of two dissimilar orthotropic half-planes is considered. The problem is reduced to a pair of singular integral equations of second kind which have finally been solved by using Jacobi polynomials. Graphical plots of the strain energy ...

In this paper we provide for a first time, to our knowledge, a mathematical model for imaging an anisotropic, orthotropic medium with polarization-sensitive optical coherence tomography. The imaging problem is formulated as an inverse scattering problem in three dimensions for reconstructing the electrical susceptibility of the medium using Maxwell's equations. Our reconstruction method is base...

The vibration response of isotropic and orthotropic plates with mixed boundary conditions is numerically modeled using a solution that is based on the differential quadrature method (DQM). The DQM is applied to each region and with the imposition of appropriate boundary conditions; the problem is transformed into a standard eigenvalue problem. The δ technique is used to treat the various bounda...

This brief note describes an asymptotic technique for accurate computation of the Rayleigh wave speed both in compressible isotropic and incompressible orthotropic half-spaces. As opposed to recent publications by Malischewsky and Ogden & Vinh, the Cardan’s formula for solving cubic equations is not used. A variant of Graeffe’s method for finding the moduli of zeros of polynomials is formulated...

The aim of this paper is to investigate the Stoneley waves in a non-homogeneous orthotropic granular medium under the influence of a gravity field. The frequency equation obtained, in the form of a sixth-order determinantal expression, is in agreement with the corresponding result when both media are elastic. The frequency equation when the gravity field is neglected has been deduced as a parti...

The influence of the gravity and magnetic field on the propagation of Rayleigh wave in a prestressed inhomogeneous, orthotropic elastic solid medium has been discussed. The method of separation of variable has been used to find the frequency equations for the surface waves. The obtained dispersion equations are in agreement with the classical results when gravity, magnetic field, non-homogeneit...

• An efficient homogenisation scheme is proposed and validated. Orthotropic properties of masonry are calculated from its isotropic constituents. Stresses strains in joints units macroscopic strain. Damage due to mechanical action on the can be simply quantified.

Using piezoelectric excitation, the resonance frequencies of microstructures made of monocrystalline silicon or metal alloys are experimentally determined. Several resonance frequencies are found for each microstructure. A scanning vibrometer allows to determine the corresponding modal shape for frequencies lying between 40 Hz and 160 kHz. In combination with a numerical analysis, this data all...