LOVE WAVE DIFFRACTION IN A VARIABLE THICKNESS SURFACE LAYER
Abstract
Consideration is given to the mixed boundary value problem of Love wave propagation in a solid layer over a solid half-space where the layer undergoes an abrupt change in thickness. Both the layer and half-space are considered to be homogeneous elastic media. Interest is focused on the amplitudes of the transmitted and reflected Love waves relative to the magnitude of the excitation, i.e., the transmission and reflection coefficients, for a range of both the 'strength' of the discontinuity (magnitude of change in thickness relative to layer thickness) and the layer thickness. Using a function-theoretic argument based on the Wiener-Hopf technique integral expressions for the total fields are obtained. The transmission and reflection coefficients are then extracted by a standard appeal to the calculus of residues. Both displacement amplitude and energy coefficients are displayed graphically. A comparison reveals that the results shown are in close agreement with those given by Knopoff and Hudson. However, a discrepancy does exist for intermediate values of crust thickness and is discussed in some detail. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1965
- Accession Number
- AD0617148
Entities
People
- David Joseph Defanti
- John E. Spence
Organizations
- University of Rhode Island