Abstract
In an infinite elastic medium dilatational waves exhibit much more nonlinear distortion than do shear waves, but such behavior cannot be assumed when a boundary, such as a free surface, is present. Because of the process of mode conversion, a dilatational (P) wave that has already undergone significant distortion prior to its incidence at the boundary must impart its distortion to both the reflected P and vertically polarized shear (SV) wave. The problem of oblique incidence at a free surface was previously considered by us [1,2]. The present paper generalizes that analysis by permitting the boundary conditions at the planar interface to be arbitrary, and also by considering critical and supercritical angles of incidence.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
K. T. Shu and J. H. Ginsberg, “Oblique Reflection of a Nonlinear P Wave from the Boundary of an Elastic Half-Space,” submitted for publication (1990).
K. T. Shu, Ph.D. dissertation, The Georgia Institute of Technology, Georgia, 1989 (unpublished).
D. T. Blackstock in Proceedings of the 3rd International Congress on Acoustics, Stuttgart, Ed. L. Cremer, Vol. I, 309–311 (1959).
M. A. Breazeale and W. W. Lester in The Journal of the Acoustical Society of America, Vol. 33, p. 1803 (1961).
O. Buck and D. O. Thompson in Material Science and Engineering, Vol. 1, p. 117 (1966).
A. L. Van Buren and M. A. Breazeale in The Journal of the Acoustical Society of America, Vol. 44, p. 1014 (1968).
S. S. Feng in Soviet Physics — Acoustics, Vol. 6, p. 488 (1961).
Z. Qian in Sciience Sinatica, Vol. 25, p. 492 (1982.
F. D. Cotaras, “Reflection and refraction of finite amplitude acoustic waves at a fluid-fluid Interfaces,” Tech. Report ARL-TR-89-1, Applied Research Laboratories, The University of Texas at Austin (1989).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Plenum Press, New York
About this chapter
Cite this chapter
Ginsberg, J.H., Shu, KT. (1991). The Role of Nonlinearities in Propagation, Reflection, and Transmission of Stress Waves and Possible Applications to NDE. In: Thompson, D.O., Chimenti, D.E. (eds) Review of Progress in Quantitative Nondestructive Evaluation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3742-7_90
Download citation
DOI: https://doi.org/10.1007/978-1-4615-3742-7_90
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6666-9
Online ISBN: 978-1-4615-3742-7
eBook Packages: Springer Book Archive