Comparison of elastic constant determination in anisotropic materials from ultrasonic group and phase velocity data

A. D. Degtyar; S. I. Rokhlin

doi:10.1121/1.419588

journal article Dec 01, 1997

Comparison of elastic constant determination in anisotropic materials from ultrasonic group and phase velocity data

A. D. Degtyar S. I. Rokhlin

The Journal of the Acoustical Society of America Vol. 102 No. 6 pp. 3458-3466 · Acoustical Society of America (ASA)

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Abstract

A comparative analysis of elastic constant determination from the angular dependence of group and phase velocity data in orthotropic and transversely isotropic materials is performed. A nonlinear least-squares optimization procedure is used for inversion. The method allows the use of group velocity data in a cuspidal region, where for a given ray direction there are more than three distinct wave modes propagating with different velocities. Exact analytical equations are derived relating group velocities to elastic constants for arbitrary planes in transversely isotropic materials. Approximate relations for nonsymmetry planes in orthotropic materials are obtained. The procedure is generalized for determination of elastic constants from group velocities measured in arbitrary incident planes in orthotropic materials.

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Metrics

32

Citations

16

References

Details

Published: Dec 01, 1997
Vol/Issue: 102(6)
Pages: 3458-3466

Authors

A

A. D. Degtyar

The Ohio State University, Nondestructive Evaluation Program, 190 West 19th Avenue, Columbus, Ohio 43210

S

S. I. Rokhlin

The Ohio State University, Nondestructive Evaluation Program, 190 West 19th Avenue, Columbus, Ohio 43210

Cite This Article

A. D. Degtyar, S. I. Rokhlin (1997). Comparison of elastic constant determination in anisotropic materials from ultrasonic group and phase velocity data. The Journal of the Acoustical Society of America, 102(6), 3458-3466. https://doi.org/10.1121/1.419588

Comparison of elastic constant determination in anisotropic materials from ultrasonic group and phase velocity data

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