Superposing scheme for the three-dimensional Green's functions of an anisotropic half-space

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:50

Article

Lee, Ven-Gen

关键词: Superposition;    Green's function;    Anisotropic half space;    Fourier transformation;    Generalized Stroh eigenrelation;    Orthotropic;    Transversely isotropic materials;   

DOI  :  10.1016/j.ijsolstr.2013.03.024

来源: Elsevier

【 摘 要 】

This paper presents a method of superposition for the half-space Green's functions of a generally anisotropic material subjected to an interior point loading. The mathematical concept is based on the addition of a complementary term to the Green's function in an anisotropic infinite domain. With the two-dimensional Fourier transformation, the complementary term is derived by solving the generalized Stroh eigen-relation and satisfying the boundary conditions on the free surface with the use of Green's functions in the full-space case. The inverse Fourier transform leads to the contour integrals, which can be evaluated with the application of Cauchy residue theorem. Application of the present results is made to obtain analytical expression for the orthotropic materials which were not reported previously. The closed-form solutions for the transversely isotropic and isotropic materials derived directly from the solutions as being a special case are also given in this paper. (C) 2013 Elsevier Ltd. All rights reserved.

【 授权许可】

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