A spectral relation for Chebyshev-Laguerre polynomials and its application to dynamic problems of fracture mechanics

被引：0

作者：

Popov, GY

机构：

来源：

PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS | 1999年 / 63卷 / 01期

关键词：

D O I：

10.1016/S0021-8928(99)00010-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new spectral relation for Chebyshev-Laguerre polynomials is derived and its use to construct an exact solution of the antiplane problem of the theory of elasticity on the diffraction of a shock SH-wave by a semi-infinite crack is described, when this wave is incident on the crack at an arbitrary angle. The problem is reduced to an integro-differential equation by the method of discontinuous solutions. An exact solution of this equation using the spectral relation obtained is given. A formula is obtained for the scattered wave and for the stress intensity factor. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：63 / 71

页数：9

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