HIGH-FREQUENCY SCATTERING BY A GRIFFITH CRACK. I: A CRACK GREEN'S FUNCTION.

被引：0

作者：

Keogh, P.S. ^{[1
]}

机构：

[1] 25 Cramer Street, Stafford ST17 4BX, United Kingdom

来源：

Quarterly Journal of Mechanics and Applied Mathematics | 1985年 / 38卷 / pt 2期

基金：

英国工程与自然科学研究理事会;

关键词：

ELASTIC WAVES - Scattering - MATERIALS - Crack Propagation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A suitable Green's function for solving the general two-dimensional problem of scattering of elastic waves by a Griffith or strip crack is one whose displacement field corresponds to oscillatory equal and opposite line-force loading of the crack faces. In this paper an exact representation for the fourier transform of the corresponding crack opening displacement is derived when the frequency of oscillation is sufficiently high. A function-theoretic technique based upon an extended Wiener-Hopf argument is used to derive an integral equation of the second kind which is shown to be soluble by iteration at high frequencies. The method shows that the multiple reflection of Rayleigh surface waves between the crack edges is an O(1) contribution to the crack opening displacement at high frequencies.

引用

页码：185 / 204