We consider the electromagnetic inverse scattering problem of determining the support of an orthotropic or anisotropic anomaly in a homogeneous background medium from a knowledge of the electric far eld pattern corresponding to the scattering of electromagnetic plane waves. Our aim is to derive a linear integral equation of the rst kind from which the support of the anomaly can be found by exam...

In this paper, buckling of orthotropic rectangular plates under different loadings was investigated. For this reason, governing buckling equations for an isotropic plate were modified by applying constitutive equations of orthotropic materials. After obtaining the equations of orthotropic plates, Generalized Differential Quadrature method (GDQM) was applied on buckling equations and thus a set ...

In this paper, buckling of orthotropic rectangular plates under different loadings was investigated. For this reason, governing buckling equations for an isotropic plate were modified by applying constitutive equations of orthotropic materials. After obtaining the equations of orthotropic plates, Generalized Differential Quadrature method (GDQM) was applied on buckling equations and thus a set ...

Torsion of elastic and poroelastic circular shaft of radially inhomogeneous, cylindrically orthotropic materials is studied with emphasis on the end effects example for extruder. To examine the conjecture of Saint-Venant’s torsion, we consider torsion of circular shaft with one end fixed and the other end free on which tractions that results in a pure torque are prescribed arbitrarily over the fr...

BACKGROUND Post design and material has very important effects on dentinal stress distribution since the post placement can create stresses that lead to root fracture. MATERIALS AND METHODS In this study we use finite element analysis (FEA) to evaluate stress distribution on endodontically treated maxillary central incisors that have been restored with different prefabricated posts. Six model...

Abstract For a given class of materials, universal deformations are those that can be maintained in the absence body forces by applying only boundary tractions. Universal play crucial role nonlinear elasticity. To date, their classification has been accomplished for homogeneous isotropic solids following Ericksen’s seminal work, and anisotropic inhomogeneous our recent works. In this paper we s...

Wood is a non-homogeneous and orthotropic natural polymer material. It important to test the wood shear modulus elastic constants accurately reliably using dynamic methods. Based on introduction of advantages six common methods for testing modulus, such as free plate torsional mode method, bar vibration Timoshenko beam iterative issues associated with applicability accuracy these are also point...

In this contribution a brief overview of the development of an orthotropic material model for the simulation of spruce wood under simultaneous plane and transverse shear stresses is given. The model considers an initially linear elastic domain as well as plasticity behaviour including hardening and softening mechanisms at higher states of stress and strain, respectively. The newest feature of t...

In this study, the free vibration behavior of orthotropic rectangular graphene sheet embedded in an elastic medium under biaxial pre-load is studied. Using the nonlocal elasticity theory, the governing equation is derived for single-layered graphene sheets (SLGS). Differential quadrature method (DQM) has been used to solve the governing equations for various boundary conditions. To verify the a...