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Green's Function Evaluation for Three Dimensional Exponentially Graded Elasticity

 

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Acceso restringido Green's Function Evaluation for Three Dimensional Exponentially Graded Elasticity
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Author: Criado, R.
Gray, L. J.
Mantic, Vladislav
París Carballo, Federico
Department: Universidad de Sevilla. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras
Date: 2008
Published in: International Journal for Numerical Methods in Engineering, 74 (10), 1560-1591.
Document type: Article
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 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
Cite: 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.
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URI: https://hdl.handle.net/11441/72227

DOI: 10.1002/nme.2223

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