A modified green's-function technique for the exterior dirichlet problem in linear elasticity
(EN)
Roach, GF
(EN)
Argyropoulos, E
(EN)
Kiriaki, K
(EN)
In this work the modified Green's-function technique for the exterior Dirichlet problem in linear elasticity is examined. We introduce a modification of the fundamental solution in order to remove the lack of uniqueness of solution of the boundary integral equation describing the problem. We establish the conditions that the coefficients of the modification must hold in order to overcome the non-uniqueness problem. We prove that if we know the multiplicity of the interior Neumann eigenvalues then we need only a finite number of non-zero coefficients in the representation of the modification. We also consider the question of choosing the coefficients in the modification, so as to satisfy a criterion of optimization, and we present detailed results for the special case of a sphere.
(EN)
