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Green’s functions of an exponentially graded transversely isotropic half-space

✍ Scribed by M. Eskandari; H.M. Shodja

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
672 KB
Volume
47
Category
Article
ISSN
0020-7683

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✦ Synopsis

By virtue of a complete set of displacement potential functions and Hankel transform, the analytical expressions of Green's function of an exponentially graded elastic transversely isotropic half-space is presented. The given solution is analytically in exact agreement with the existing solution for a homogeneous transversely isotropic half-space. Employing a robust asymptotic decomposition technique, the Green's function is decomposed to the closed-form Green's function corresponding to the homogeneous transversely isotropic half-space and grading term with strong decaying integrands. This representation is very useful for numerical methods which are based on boundary-integral formulations such as boundary-element method since the numerically evaluated part is not responsible for the singularity. The high accuracy of the proposed numerical scheme is confirmed by some numerical examples.

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