ON THE BOUNDARY INTEGRAL-EQUATIONS FOR THE CRACK OPENING DISPLACEMENT OF FLAT CRACKS

被引：14

作者：

HADUONG, T ^{[1
]}

机构：

[1] ECOLE POLYTECH,CMAP,F-91128 PALAISEAU,FRANCE

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 1992年 / 15卷 / 03期

关键词：

D O I：

10.1007/BF01200328

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The boundary integral equations for the crack opening displacement in acoustic and elastic scattering problems are discussed in the case of flat cracks by means of the Fourier analysis technique.The pseudo-differential nature of the hypersingular integral operators is shown and their symbols explicited. It is then proved that the variational problems assocaited with these BIE are well-posed in a Sobolev functional framework which is closely linked with the elastic energy. A decomposition of the vector integral equation in the elastic case into scalar integral equations is obtained as a by-product of the variational formulation.

引用

页码：427 / 453

页数：27

共 31 条

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