Author(s)

C.-Y. Wang

Abstract

Explicit expressions for three-dimensional elastostatic Green's tensors in anisotropic solids are derived. 1 Introduction The 2-D Green's tensors for general anisotropic solids have relatively simple explicit expressions, but that is not the case for the 3-D solutions. For the special case of transversely isotropic materials, explicit expressions for 3-D Green's tensors have been obtained by Elliott [1], Kroner [2], Lejcek [3], Lifshitz and Rozenzweig [4], Pan and Chou [5], and Willis [6]. For general anisotropy, however, 3-D explicit expressions were not available. In this paper, explicit expressions for 3-D displacement Green's functions are derived. Derivatives of the displacement Green's functions are obtained in a form that facilitates integrations over a line or a surface. 2 Definition of the Green's Function Consider an unbounded homogene

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