ON THE CAUCHY PRINCIPAL VALUE OF THE SURFACE INTEGRAL IN THE BOUNDARY INTEGRAL-EQUATION OF 3D ELASTICITY

被引：3

作者：

MANTIC, V ^{[1
]}

PARIS, F ^{[1
]}

机构：

[1] ETS INGN IND,E-41012 SEVILLE,SPAIN

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 1993年 / 12卷 / 04期

关键词：

CAUCHY PRINCIPAL VALUE; STRONGLY SINGULAR SURFACE INTEGRAL; BOUNDARY INTEGRAL EQUATIONS; ELASTICITY; BOUNDARY ELEMENT METHOD;

D O I：

10.1016/0955-7997(93)90056-Q

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A simple demonstration of the existence of the Cauchy principal value (CPV) of the strongly singular surface integral in the Somigliana Identity at a non-smooth boundary point is presented. First a regularization of the strongly singular integral by analytical integration of the singular term in the radial direction in pre-image planes of smooth surface patches is carried out. Then it is shown that the sum of the angular integrals of the characteristic of the tractions of the Kelvin fundamental solution is zero, a formula for the transformation of angles between the tangent plane of a surface patch and the pre-image plane at smooth mapping of the surface patch being derived for this purpose.

引用

页码：289 / 292

页数：4

共 8 条

[1]

ALIABADI MH, 1985, INT J NUMER METH ENG, V21, P221

[2]

Brebbia C.A., 1984, BOUNDARY ELEMENT TEC

[3] A GENERAL ALGORITHM FOR MULTIDIMENSIONAL CAUCHY PRINCIPAL VALUE INTEGRALS IN THE BOUNDARY ELEMENT METHOD [J].