压电材料平面问题的虚边界元-等额配点解法  

Virtual boundary element-equivalent collocation method for plane piezoelectric materials

作　　者：姚伟岸[1] 王辉[1] 

机构地区：[1]大连理工大学工程力学系工业装备结构分析国家重点实验室,辽宁大连116023

出　　处：《计算力学学报》2005年第1期42-46,共5页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(10172021);教委博士点专项基金(20010141024)资助项目.

摘　　要：利用压电材料平面问题的基本解和弹性力学虚边界元方法的基本思想,提出了压电材料平面问题的虚边界元-等额配点解法。该解法继承了传统边界元方法的优点,而避免了传统边界元方法遇到的边界积分奇异性问题。最后给出了压电材料平面问题的一些具体算例,并与解析解作了比较。结果表明本文的方法有很高的精度,是该问题一个十分有效的数值求解方法。Based on the fundamental solution of plane piezoelectric problems and the basic thought of the virtual boundary element method for elasticity, this paper presents a virtual boundary element-equivalent collocation method for plane piezoelectric materials. Maintaining the same merits as the conventional boundary element method, this method excludes the singular integral in the conventional boundary element method. In the end, some numerical examples are performed to demonstrate the performance of this method, and are compared with the exact solutions. The results show that this method has higher computational accuracy and is a very effective numerical method.

关 键 词：J:压电材料 虚边界元 基本解 配点解法 

分 类 号：O242[理学—计算数学]