Location

Brunswick, ME

Start Date

1-1-1990 12:00 AM

Description

A common approach to study the acoustic field in an isotropic elastic half-space has been to use the equations of linear, isotropic elasticity together with Fourier or Hankel transforms [1,2]. The result is a definiteintegral representation of the field at an arbitrary point in the half-space owing to a prescribed stress applied to the free surface. The complicated integral can be evaluated asymptotically to give the far field radiation. Furthermore, the theoretical expressions for the directivity patterns from a variety of acoustic sources, radiating into an isotropic elastic half-space have been presented by several authors [1–4]. A similar theoretical analysis applied to an anisotropic solid medium fails because the potential theory method is not applicable to the anisotropic problem.

Book Title

Review of Progress in Quantitative Nondestructive Evaluation

Volume

9A

Chapter

Chapter 1: Fundamentals of Classical Techniques

Section

B: Elastic Wave Propagation

Pages

149-156

DOI

10.1007/978-1-4684-5772-8_17

Language

en

File Format

application/pdf

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Jan 1st, 12:00 AM

Far Field Radiation of a Point Source on the Free Surface of Semi-Infinite Anisotropic Solids

Brunswick, ME

A common approach to study the acoustic field in an isotropic elastic half-space has been to use the equations of linear, isotropic elasticity together with Fourier or Hankel transforms [1,2]. The result is a definiteintegral representation of the field at an arbitrary point in the half-space owing to a prescribed stress applied to the free surface. The complicated integral can be evaluated asymptotically to give the far field radiation. Furthermore, the theoretical expressions for the directivity patterns from a variety of acoustic sources, radiating into an isotropic elastic half-space have been presented by several authors [1–4]. A similar theoretical analysis applied to an anisotropic solid medium fails because the potential theory method is not applicable to the anisotropic problem.