压电介质边界元法及奇异性处理  

Boundary Element Method for 2D Piezoelectricity and Its Singularity

作　　者：王清[1] 王国庆[2] 刘正兴[2] 

机构地区：[1]同济大学固体力学教育部重点实验室,上海200092 [2]上海交通大学建筑工程与力学学院,上海200030

出　　处：《力学季刊》2001年第1期62-71,共10页Chinese Quarterly of Mechanics

基　　金：固体力学教育部重点实验室访问学者基金

摘　　要：本文从压电材料的基本方程出发,利用功的互等原理,推导了边界积分方程,并详细地讨论了边界元的计算步骤。利用等参变换,着重研究了在边界元计算中基本解的奇异性问题。对各种情况讨论了系数矩阵H和G的算法,并给出了具体的表达式。作为算例,选取了均匀薄板和开孔薄板PZY-4压电材料,计算结果表明,本文提出的边界元的计算格式和奇异性的处理方法相当有效。Piezoelectric materials are receiving attention in recent years due to extensive applications in the emerging field of adaptive structures. The paper is devoted to the boundary element method based on fundamental solutions for transversely isotropic piezoelectricity and reciprocal of theorem of work equivalence. The boundary integral formulations are derived and then the singularity in integral process is discussed. Finally, from two examples of plate and plate with hole, it can be shown that the result is perfect.

关 键 词：压电性 边界积分方程 基本解 边界元法 压电介质 奇异性 

分 类 号：TB381[一般工业技术—材料科学与工程] O343[理学—固体力学]