We analyze the problem of a heterogeneous formulation of the equation of motion and
propose a new 3D fourth-order staggered-grid finite-difference (FD) scheme for modeling …

In this review paper, we concentrate on the use of boundary integral equation (BIE) based
methods for the numerical modeling of elastic wave motion in naturally occurring media. The …

In this work, we attempt to collect all available fundamental solutions in 3D elastodynamics
that would be suitable for use in Boundary Element Method (BEM) formulations. Given that …

Composites comprising included phases in a continuous matrix constitute a huge class of
meta-materials, whose effective properties, whether they be mechanical, physical or …

Inhomogeneous elliptical inclusions with partial differential equations have aroused
appreciable concern in many disciplines. In this paper, a pseudo-spectral collocation …

An inhomogeneous half-space containing a cavity is bonded to a homogeneous half-space.
Waves are incident on the interface and the problem is to calculate the scattered waves. For …

Analytical solutions for wave velocities and wave vectors are yielded for a continuously
inhomogeneous cross‐anisotropic medium, in which Young's moduli (E, E′) and shear …

The present paper is aimed at the study of wave phenomena in inhomogeneous, anisotropic
media such as functionally graded materials. We derive a Green's function which can be …

We present here a Boundary Element Method (BEM) implementation for SH harmonic
waves in a class of inhomogeneous anisotropic media. The inhomogeneity is assumed to be …

The anti‐plane strain elastodynamic problem for a continuously inhomogeneous half‐plane
with free‐surface relief subjected to time‐harmonic SH‐wave is studied. The computational …