Extended displacement discontinuity Green's functions for three-dimensional transversely isotropic magneto-electro-elastic media and applications

被引：29
|
作者：
Zhao, MingHao [1 ]
Fan, CuiYing [1 ]
Liu, Tong [1 ]
Yang, Feng [1 ]
机构：
[1] Zhengzhou Univ, Dept Engn Mech, Zhengzhou 450001, Henan Province, Peoples R China
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2007年 / 31卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Green's function; fundamental solution; magneto-electro-elastic medium; crack; extended displacement discontinuity method; intensity factor;
D O I：
10.1016/j.enganabound.2006.11.002
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A versatile method is presented to derive the extended displacement discontinuity Green's functions or fundamental solutions by using the integral equation method and the Green's functions of the extended point forces. In particular, the three-dimensional (3D) transversely isotropic magneto-electro-elastic problem is used to demonstrate the method. On this condition, the extended displacement discontinuities include the elastic displacement discontinuities, the electric potential discontinuity and the magnetic potential discontinuity, while the extended forces include the point forces, the point electric charge and the point electric current. Based on the obtained Green's functions, the extended Crouch fundamental solutions are derived and an extended displacement discontinuity method is developed for analysis of cracks in 3D magneto-electro-elastic media.. The extended intensity factors of two coplanar and parallel rectangular cracks are calculated under impermeable boundary condition to illustrate the application, accuracy and efficiency of the proposed method. (C) 2006 Elsevier Ltd. All rights reserved.
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页码：547 / 558
页数：12
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