梯度压电带中共线多界面Ⅲ型裂纹分析

Analysis of collinear multi-interface typeⅢcrack in gradient piezoelectric band

分析了梯度压电带中共线多界面Ⅲ型裂纹问题.假设物性参数沿着垂直于界面方向以指数形式变化,利用Fourier变换将混合边值问题转化为奇异积分方程.通过求解,得到了裂纹尖端强度因子的表达式.最后利用数值算例分析了物性参数和几何尺寸对强度因子的影响.

The third mode crack of collinear multi interface in gradient piezoelectric band is analyzed in this paper.Assuming that the physical parameters change exponentially along the direction perpendicular to the interface,the mixed boundary value problem is transformed into the singular integral equation by Fourier transform.The expression of the crack tip strength factor is obtained by solving the problem.Finally,the influence of physical parameters and geometric dimensions on the strength factor is analyzed by numerical examples.