Construction of Reflective and Refractive Wave Fronts Due to a Line Source in Anisotropic Elastic Media
Date Issued
2010
Date
2010
Author(s)
Huang, Yu-Ting
Abstract
A method to deal with the two dimensional wave propagation problem, and to construct the reflective and refractive wave fronts of a line source in anisotropic elastic media is developed in this thesis. The basic theory of this method is to use the generalized Snell’s Law which describes that the apparent wave speed always remains unchanged before or after reflection (refraction). Using this law to trace the energy velocity vectors. And the values of them could be solved from a six-dimensional eigenvalue problem and be presented by the combination of eigenvalue p and its differential. The energy velocity vector is relative to the wavefront curve.
The problems being solved in this thesis are horizontal, inclined, rectangular, and circular geometric boundary. Primarily construct the first and the second reflective and refractive wave fronts.
Subjects
anisotropic elasticity
wave propagation
wave front
dipping layer
Type
thesis
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