含椭圆形夹杂的压电材料反平面应变问题的基本解  

BASIC SOLUTION OF ANTIPLANE STRAIN PROBLEMS FOR PIEZOELECTRIC MEDIA CONTAINING AN ELLIPTIC INCLUSION

作　　者：侯密山[1] 杨一侠[1] 

机构地区：[1]山东东营石油大学机械系,石油大学自动化系

出　　处：《石油大学学报（自然科学版）》1996年第A00期54-58,共5页Journal of the University of Petroleum,China(Edition of Natural Science)

摘　　要：应用复变函数的Ｆａｂｅｒ级数展开，导出了在集中载荷作用下，含椭圆夹杂的压电材料反平面应变问题的基本解。对几个简单情形的问题，给出了封闭形式的复型基本解和裂纹尖端的场强度因子，结果表明，应力强度因子与普通材料的应力强度因子相同，而电位移强度因子与前者有相同的表达形式。A basic solution to the antiplane strain problem of an elliptic inclusion in piezoelectric medium is derived by using the Faber series in complex potential. The paper presents some basic solutions in closed form of the complex potentials and field intensity factors at the crack tip for some simply cases. The results indicate that the stress intensity factor is as the same as the factor of the general isotropic material. The electric displacement intensity factor has the same expressions of the stress intensity factor.

关 键 词：压电材料 应变 Faber级数 基本解 

分 类 号：O346[理学—固体力学] TM22[理学—力学]