2种典型边界条件下压电柱体中的币形裂纹(英文)

研究了含有同心币形裂纹的压电长圆柱体的弹性应力和电位移响应．长圆柱体承受2种典型的边界条件,将其分别为压电圆柱插入到刚性套筒内及压电圆柱的表面无应力电荷．基于势函数法和Hankel变换,得到对偶积分方程组,然后缩减为第二类Fredholm积分方程,最终得到了PZT-6B圆柱的场强度因子的数值结果．研究结果表明,裂纹与圆柱的半径比对断裂行为有显著的影响．

Penny-shaped Crack in a Solid Piezoelectric Cylinder With Two Typical Boundary Conditions

The response of elastic stress and electric displacement in a long piezoelectric cylinder with a concentric penny-shaped crack is investigated in this paper. The long piezoelectric cylinder is subjected to two types of boundary conditions: (1) the piezoelectric cylinder is inserted in a smooth rigid bore of radius b, (2) the surface of the piezoelectric cylinder is stress and electric charge free. Based on the potential function approach and Hankel transform, a system of dual integral equation is obtained, and then reduced to a Fredholm integral equation of the second kind. Numerical results of various field intensity factors for cylinder are obtained to show the effect of the ratio a/6 on fracture behaviours of the cracked piezoelectric cylinder (a is the radius of the crack and b is the radius of the PZT-6B cylinder).