Open Access

ARTICLE

Determination of Interior Point Solutions for 3D Generally Anisotropic Elastic Solids by the Boundary Element Method

C. L. Tan¹, Y.C. Shiah²

1 Dept. of Mechanical & Aerospace Engineering, Carleton University, Ottawa, Canada K1S 5B6
2 Dept. of Aerospace and Systems Engineering, FengChia University, Taichung, Taiwan R.O.C.

Structural Longevity 2010, 4(1), 1-10. https://doi.org/10.3970/sl.2010.004.001

Abstract

Using newly derived explicit algebraic forms of the first- and secondorder derivatives of the Green’s function, interior point solutions for the displacements and stresses in 3D generally anisotropic elastic bodies are obtained using the boundary element method (BEM). The approach, which follows the same vein as in BEM for isotropic elasticity via Somigliana’s identities, has not been successfully achieved previously in the literature due to the analytical difficulties involved with using the non-explicit forms of the Green’s function. The veracity of the formulation and implementation is demonstrated by some examples.

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Keywords

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