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.
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页码：636 / 650
页数：15
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