Complex variables boundary element method for elasticity problems with constant body force

被引:12
|
作者
Ostanin, Igor A. [1 ]
Mogilevskaya, Sofia G. [1 ]
Labuz, Joseph F. [1 ]
Napier, John [2 ]
机构
[1] Univ Minnesota, Dept Civil Engn, Minneapolis, MN 55455 USA
[2] Univ Witwatersrand, Sch Computat & Appl Math, Johannesburg, South Africa
基金
美国国家科学基金会;
关键词
Complex variables boundary element method; Constant body force; DISPLACEMENT DISCONTINUITY METHOD; PLANE ELASTICITY; HYPERSINGULAR INTEGRALS; GRAVITATIONAL STRESSES; BEM; GRAVITY; RIDGES;
D O I
10.1016/j.enganabound.2010.11.008
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The direct formulation of the complex variables boundary element method is generalized to allow for solving problems with constant body forces. The hypersingular integral equation for two-dimensional piecewise homogeneous medium is presented and the numerical solution is described. The technique can be used to solve a wide variety of problems in engineering. Several examples are presented to verify the approach and to demonstrate its key features. The results of calculations performed with the proposed approach are compared with available analytical and numerical benchmark solutions. (C) 2010 Elsevier Ltd. All rights reserved.
引用
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页码:623 / 630
页数:8
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