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 …

The plane stress problem of an orthotropic functionally graded beam with arbitrary graded
material properties along the thickness direction is investigated by the displacement function …

The direct integration method (a general approach to analysis for boundary value problems
of mathematical physics with no implications for the potential functions of higher differential …

This paper presents a three-dimensional elasticity solution for a simply supported,
transversely isotropic functionally graded plate subjected to transverse loading, with Young's …

One of the most fruitful and elegant approach (known as Kolosov–Muskhelishvili formulas)
for plane isotropic elastic problems is to use two complex-valued holomorphic potentials. In …

Time-harmonic response of a vertically graded transversely isotropic, linearly elastic half-
space is analytically determined by introducing a new set of potential functions. The …

In this article we present a technique for analytical solution of three-dimensional heat-
conduction and thermal-stress problems for an elastic layer whose thermophysical and …

An approach of numerical modeling of heterogeneous, functionally graded materials, by
using the finite element method, is proposed. The variational formulation is derived from the …

In this paper, three-dimensional elastic deformation of rectangular sandwich panels with
functionally graded transversely isotropic core subjected to transverse loading is …

In this study, stress and displacement functions of the three-dimensional theory of elasticity
for homogeneous isotropic bodies are derived from first principles from the differential …