Article
Green's Function Evaluation for Three Dimensional Exponentially Graded Elasticity
Author/s | Criado, R.
Gray, L. J. Mantic, Vladislav ![]() ![]() ![]() ![]() ![]() ![]() ![]() París Carballo, Federico ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Department | Universidad de Sevilla. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras |
Publication Date | 2008 |
Deposit Date | 2018-04-09 |
Published in |
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Abstract | The numerical implementation of the Green's function for an isotropic exponentially graded three
dimensional elastic solid is reported. The formulas for the nonsingular `grading term' in this Green's
function, originally ... The numerical implementation of the Green's function for an isotropic exponentially graded three dimensional elastic solid is reported. The formulas for the nonsingular `grading term' in this Green's function, originally deduced by Martin et al., 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 |
Funding agencies | Ministerio de Educación, Cultura y Deporte (MECD). España Ministerio de Ciencia y Tecnología (MCYT). España |
Project ID. | SAB 2003-0088
![]() MAT 2003-03315 ![]() |
Citation | Criado, R., Gray, L.J., Mantic, V. y París Carballo, F. (2008). Green's Function Evaluation for Three Dimensional Exponentially Graded Elasticity. International Journal for Numerical Methods in Engineering, 74 (10), 1560-1591. |