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Article
Angular dependence of ultrasonic wave propagation in a stressed, orthorhombic continuum: Theory and application to the measurement of stress and texture
Journal of the Acoustical Society of America
  • R. Bruce Thompson, Iowa State University
  • S. S. Lee, Iowa State University
  • J. F. Smith, Iowa State University
Document Type
Article
Publication Date
9-1-1986
DOI
10.1121/1.393915
Abstract

A theory for ultrasonic wave propagation in a symmetry plane of a biaxially stressed, orthorhombic continuum is presented. Since many of the material parameters which appear in the analysis are unknown, in particular the third‐order elastic constants of polycrystalline metals, emphasis is placed on the angular dependence of the velocities. An expansion to first order in stress‐induced anisotropy and to second order in textural anisotropy reveals terms with twofold, fourfold, and sixfold symmetry. Scenarios are proposed for using various properties of this symmetry to deduce the difference in magnitude and directions of the principal stresses independent of textural anisotropy and the textural anisotropy independent of the stresses. Experimental results are presented for the cases of aluminum, 304 stainless steel, and copper.

Comments

This article is from Journal of the Acoustical Society of America 80, no. 3 (1986): 921–931, doi:10.1121/1.393915.

Copyright Owner
Acoustical Society of America
Language
en
Date Available
February 20, 2013
File Format
application/pdf
Citation Information
R. Bruce Thompson, S. S. Lee and J. F. Smith. "Angular dependence of ultrasonic wave propagation in a stressed, orthorhombic continuum: Theory and application to the measurement of stress and texture" Journal of the Acoustical Society of America Vol. 80 Iss. 3 (1986) p. 921 - 931
Available at: http://works.bepress.com/rbruce_thompson/15/