Three-dimensional one-mode penetration of elastic waves through a doubly periodic array of cracks

被引：11

作者：

Remizov, Mikhael Y. ^{[1
]}

Sumbatyan, Mezhlum A. ^{[1
]}

机构：

[1] Southern Fed Univ, Inst Math Mech & Comp Sci, Milchakova St 8a, Rostov Na Donu 344090, Russia

来源：

MATHEMATICS AND MECHANICS OF SOLIDS | 2018年 / 23卷 / 04期

基金：

俄罗斯科学基金会;

关键词：

Doubly periodic array of cracks; one-mode propagation; integral equation; semi-analytical method; reflection and transmission coefficients; PROPAGATION; SCATTERING; SCREENS; SOLIDS; TRANSMISSION; REFLECTION;

D O I：

10.1177/1081286516684902

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The paper is devoted to the calculation of the reflection and transmission coefficients, when a plane wave is incident on a two-dimensional grating with an infinite doubly periodic array of rectangular cracks in the elastic material. In the one-mode frequency range the problem is reduced to an integral equation holding over the single chosen crack. The semi-analytical method previously introduced for scalar and elastic plane problems gives explicit representations for the wave field and the scattering parameters.

引用

页码：636 / 650

页数：15

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