Note on Green’s function in anisotropic elasticity
- 1 October 1962
- journal article
- Published by American Mathematical Society (AMS) in Quarterly of Applied Mathematics
- Vol. 20 (3) , 249-256
- https://doi.org/10.1090/qam/141283
Abstract
Green’s function for an elastic, anisotropic medium is constructed with the help of the method used by Courant and Hilbert in the study of light propagation through an anisotropic dielectric. The amplitudes of the arrivals corresponding to each wave surface are expressed as functions of the curvature of the normal surfaces. Multi-valued solutions are expressed as integrals over the dislocation lines, whose motion is assumed to be known, but otherwise arbitrary. The formulae are worked out in detail for the isotropic medium.Keywords
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