压电体中裂纹与孤立电偶极子的相互作用

研究压电体裂纹与电偶极子的相互作用,得到问题的闭合解,包括应力-电位移场,裂纹张开位移和电势差,以及裂尖应力强度因子.结果表明,电偶极子的方向对裂纹场的影响可由压电体各向异性方向函数表示;当电偶极子位于裂尖附近时,在原点取在裂尖的局部极坐标系中电偶极子位置的极角对裂尖场的影响可由各向异性方向函数表示,电偶极子引起的裂尖应力强度因子与其距裂尖的距离的-3/2次幂成正比.

THE INTERACTION BETWEEN CRACK AND DIPOLE OF PIEZOELECTRICITY

The interaction between crack and dipole in piezoelectri city isanalyzed. The closed form solutions, including stress and electric displ acement, crack opening displacement and electric potential, are obtained. The fu nction of piezoelectric anisotropic direction can be used to express the influen ce of dipoles direction. When the dipole locates near a crack tip, the functio n represents the influence of the local polar angle of dipole position on the cr ack tip fields. The piezoelectric stress intensity factor is a power function wi th -3/2 index of the distance between dipole and crack tip.