Cavity-Opening Tensor Method and its Applications to Reflection and Transmission of Ultrasonic Wave by Defects

[+] Author and Article Information
Yonglin Xu

Department of Civil Engineering, Northwestern University, Evanston, IL 60208

J. Appl. Mech 63(3), 836-842 (Sep 01, 1996) (7 pages) doi:10.1115/1.2823370 History: Received April 12, 1995; Revised October 22, 1995; Online December 04, 2007


The reflection and transmission of ultrasonic waves by an array of planar defects are investigated using the cavity-opening tensor (COT) method, whereby each defect or flaw can be simulated as a three-dimensional tensor in terms of the displacement distribution over the surface of the defect. The closed-form expressions of reflection and transmission coefficients represented by one set of COTs are derived, and the interaction factors of COTs are computed using the boundary integral equation with the approximate integral only on the single defect surface. Moreover, the analytical expressions of scattered fields at a distance from the defects are given by the representation of COT. As compared with the conventional numerical method, the COT method greatly simplifies the calculations, and also makes it possible to more efficiently characterize defects with more complicated distributions.

Copyright © 1996 by The American Society of Mechanical Engineers
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