Exact integration for the hypersingular boundary integral equation of two-dimensional elastostatics

被引：6

作者：

Zhang, Xiaosong ^{[1
]}

Zhang, Xiaoxian ^{[2
]}

机构：

[1] Shijiazhuang Railway Inst, Dept Engn Mech, Shijiazhuang 050043, Hebei Province, Peoples R China

[2] Univ Liverpool, Dept Engn, Liverpool L69 3GQ, Merseyside, England

来源：

STRUCTURAL ENGINEERING AND MECHANICS | 2008年 / 30卷 / 03期

关键词：

hypersingular boundary integral equation; exact integration; Singular integral in CPV; hypersingular integral in HFP;

D O I：

10.12989/sem.2008.30.3.279

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

This paper presents ail exact integration tor the hypersingular boundary integral equation of two-dimensional elastostatics. The boundary is discretized by straight segments and the physical variables are approximated by discontinuous quadratic elements. The integral for the hypersingular boundary integral equation analysis is given in a closed form. It is proven that Using the exact integration for discontinuous boundary clement, the singular integral in the Cauchy Principal Value and the hypersingular integral in the Hadamard Finite Part can he obtained straightforward Without Special treatment. Two numerical examples are implemented to verify the correctness of the derived exact integration.

引用

页码：279 / 296

页数：18

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