Green's function evaluation for three-dimensional exponentially graded elasticity...

The numerical implementation of the Green's function for an
isotropic exponentially graded three dimensional elastic solid is
reported. The formulas for the nonsingular {\lq}grading term{\rq} in
this Green's function, originally deduced by Martin et al.,
\emph{Proc. R. Soc. Lond. A, 458, 1931-1947, 2000}, are quite
complicated, and a small error in one of the formulas is corrected.
The evaluation of the fundamental solution is tested by employing
indirect boundary integral formulation using a Galerkin
approximation to solve several problems having analytic solutions.
The numerical results indicate that the Green's function formulas,
and their evaluation, are correct.