The Eshelby formalism for an inclusion in a solid is of significant theoretical and practical implications mechanics other fields heterogeneous media. Eshelby's finding that uniform eigenstrain prescribed solitary ellipsoidal infinite isotropic medium results elastic strain field the leads to conjecture ellipsoid only possesses so-called uniformity property. Previously, weak version has been pr...

The present paper deals with the mixed mode fracture analysis of a weakened orthotropic half-plane with multiple cracks propagation. The orthotropic half-plane contains Volterra type glide and climb edge dislocations. It is assumed that the medium is under in-plane loading conditions. The distributed dislocation technique is used to obtain integral equations for the dynamic problem of multiple ...

The occurrence of SH wave propagation under the effect of a point source in an orthotropic substratum lying over a heterogeneous orthotropic half space is deliberated in the prospect of a devastating earthquake. The quadratic alteration is acknowledged for density and shear modulus which is hypothesized to be a function of depth. The method of Green's function and transformation technique contr...

In this paper, free vibration analysis of orthotropic functionally graded material (FGM) cylinders was carried out by a Mesh-Free method. In this analysis, moving least squares shape functions are used for approximation of displacement field in the weak form of equilibrium equation. Essential boundary conditions are imposed by transformation method. In this simulation, an axisymmetric model is ...

Abstract The estimation of physical and anisotropic parameters is great importance for the characterization fractured reservoirs. Vertical fractures developing in a laterally isotropic (VTI) setting are equivalent to orthotropic (OA) media common stratified shale To obtain independent information, novel reflection coefficient approximation containing derived improve stability inversion media. s...

Abstract This study presents a model for Ti6Al4V alloy produced by applying electron beam melting as continuum media with orthotropic elastic and plastic properties its application in total hip replacement (THR). The exhibits three Young’s moduli, shear Poisson’s ratios six coefficients describing the Hill yield criterion. Several uniaxial tension torsion experiments subsequent data processing ...

The purpose of this research is to study the wave propagation in orthotropic generalized thermoelastic half-space with voids under initial stress. It is found that, for two dimensional model of orthotropic generalized thermoelastic material with voids under initial stress, there exists three quasi-longitudinal waves namely, quasi-longitudinal wave (QP-mode), quasi-longitudinal thermal wave (QPT...