Location

La Jolla, CA

Start Date

1-1-1991 12:00 AM

Description

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.

Book Title

Review of Progress in Quantitative Nondestructive Evaluation

Volume

10B

Chapter

Chapter 7: Characterization of Materials

Section

Non-Linear Acoustic Properties

Pages

1829-1836

DOI

10.1007/978-1-4615-3742-7_90

Language

en

File Format

application/pdf

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Jan 1st, 12:00 AM

The Role of Nonlinearities in Propagation, Reflection, and Transmission of Stress Waves and Possible Applications to NDE

La Jolla, CA

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.