Location

La Jolla, CA

Start Date

1-1-1993 12:00 PM

Description

In [1] we presented a Green’s function theory for obtaining the frequencies of acoustic surface shape resonances of sagittal polarization associated with an isolated ridge or groove of rather general shape on a planar, stress-free surface of an isotropic elastic medium (for details we refer to [2]). It was shown that employing Green’s second theorem, and using tensor Green’s functions associated with the boundary value problem, the initial coupled partial differential equations can be converted into a coupled system of integral equations. Further, it was shown that by discretizing the boundary and using the method of moments (collocation technique), the mentioned integral equations can be transformed into a vector-matrix equation for obtaining a numerical solution. In the modern literature this technique is called the boundary element method (BEM).

Book Title

Review of Progress in Quantitative Nondestructive Evaluation

Volume

12A

Chapter

Chapter 1: Development of Standard Techniques

Section

Elastic Wave Scattering

Pages

91-98

DOI

10.1007/978-1-4615-2848-7_11

Language

en

File Format

application/pdf

Share

COinS
 
Jan 1st, 12:00 PM

Scattering of a sagittal surface acoustic wave from a large amplitude ridge or a deep groove

La Jolla, CA

In [1] we presented a Green’s function theory for obtaining the frequencies of acoustic surface shape resonances of sagittal polarization associated with an isolated ridge or groove of rather general shape on a planar, stress-free surface of an isotropic elastic medium (for details we refer to [2]). It was shown that employing Green’s second theorem, and using tensor Green’s functions associated with the boundary value problem, the initial coupled partial differential equations can be converted into a coupled system of integral equations. Further, it was shown that by discretizing the boundary and using the method of moments (collocation technique), the mentioned integral equations can be transformed into a vector-matrix equation for obtaining a numerical solution. In the modern literature this technique is called the boundary element method (BEM).