2D and 3D dynamic Green's functions and time-domain BIE formulations for piezoelectric solids

被引：0
|
作者：
Wang, CY [1 ]
Zhang, C [1 ]
机构：
[1] Schlumberger Doll Res Ctr, Dept Math & Modeling, Ridgefield, CT 06877 USA
来源：
COMPUTATIONAL MECHANICS, PROCEEDINGS | 2004年
关键词：
piezoelectric solids; dynamic Green's functions; boundary integral equation method;
D O I：
暂无
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Time transient 2D and 3D Green's functions for linear piezoelectric solids of general anisotropy are derived using Randon transform. Time-harmonic and Laplace transformed dynamic Green's functions are obtained by subsequent application of Fourier and Laplace transforms. The Green's functions are expressed as a summation of a singular static term and a regular dynamic term. The singular static terms correspond to the static Green's functions. The regular dynamic terms are given as integrals over a unit sphere for the 3D cases and a unit circle for the 2D cases. Time-domain boundary integral equation formulations are presented, where a regulation procedure of the hypersingular integrals is developed for the analysis of cracks.
引用
收藏
页码：702 / 708
页数：7
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