STUDY OF BOUNDARY ELEMENT METHOD FOR LAMB WAVE PROPAGATION AND DEFECT INTERACTION PROBLEMS

被引：1

作者：

Wang, Xian-hui ^{[1
]}

Liu, Yu-jian ^{[1
]}

Yu, Jian-gong ^{[1
]}

Qiao, Hui ^{[2
]}

机构：

[1] Henan Polytech Univ, Sch Mech & Power Engn, Jiaozuo 454003, Henan, Peoples R China

[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Henan, Peoples R China

来源：

PROCEEDINGS OF THE 2019 14TH SYMPOSIUM ON PIEZOELECTRCITY, ACOUSTIC WAVES AND DEVICE APPLICATIONS (SPAWDA19) | 2019年

基金：

美国国家科学基金会;

关键词：

Boundary element method; Singular integral; Analytical integral; Lamb waves;

D O I：

10.1109/spawda48812.2019.9019221

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The governing equation of Lamb wave propagation and defect interaction is the wave equation in elastodynamics. The boundary element method (BEM) is suitable choice to solve scattering problems in infinite domain. Based on the Contour integral theorem, analytical expressions of singular integral were obtained in in finite part. In this paper, analytical integration of strongly singular boundary integrals equations with constant element for 2D elastodynamics BEM with constant elements. All the singular and strongly integrals can be analytical evaluation in finite part sense when the constant elements are applied to discretize the boundary. The contour integral is used to solve the singular and strongly integrals. The validity of the presented formulas has been demonstrated by the numerical examples.

引用

页码：392 / 396

页数：5

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