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

Journal Article · Tue Jan 01 00:00:00 EST 2008 · International Journal for Numerical Methods in Engineering

DOI:https://doi.org/10.1002/nme.2223· OSTI ID:979071

Criado Portero, Rafael M ^[1]; Gray, Leonard J ^[1]; Mantic, Vladislav ^[2]; Paris, Federico ^[2]

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1. ORNL
2. University of Seville

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.

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: DE-AC05-00OR22725
• OSTI ID: 979071
• Journal Information: International Journal for Numerical Methods in Engineering, Vol. 74, Issue 10; ISSN 0029-5981
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
APPROXIMATIONS
ELASTICITY
EVALUATION
IMPLEMENTATION
SOLIDS