Fourier Integral Representation of the Green Function for An Anisotropic Elastic Half-Space

This paper describes the development of a Fourier integral representation of the Green function for an anisotropic elastic half-space. The representation for an isotropic material is integrated in closed form and shown to reduce to Mindlin’s solution. An application of the anisotropic representation...

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Veröffentlicht in:	Proceedings of the Royal Society. A, Mathematical and physical sciences Mathematical and physical sciences, 1993-11, Vol.443 (1918), p.367-389
1. Verfasser:	Walker, Kevin P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical and quantum physics: mechanics and fields Classical mechanics of continuous media: general mathematical aspects Dirac delta function Elastic anisotropy Exact sciences and technology Fluid mechanics: general mathematical aspects Force distribution Fourier transformations Greens function Kronecker delta function Mathematical expressions Mathematical integrals Physics Sine function Tensors
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Beschreibung
Zusammenfassung:	This paper describes the development of a Fourier integral representation of the Green function for an anisotropic elastic half-space. The representation for an isotropic material is integrated in closed form and shown to reduce to Mindlin’s solution. An application of the anisotropic representation is made to deduce the exact displacement caused by a two-dimensional periodic vertical force distribution applied to the interior of a half-space with cubic material symmetry.
ISSN:	1364-5021 0962-8444 1471-2946 2053-9177
DOI:	10.1098/rspa.1993.0151