具周期裂纹的拼接压电材料的梯度压电压磁带的断裂行为分析

Fracture behavior analysis of gradient piezoelectric tape spliced piezoelectric material with periodic cracks

在非渗透性裂纹边界条件下,采用Fourier变换将边值问题转化为积分方程.最后利用Gauss-Chebychev积分公式进行求解,获得了裂纹尖端局部场的解析式.通过数值算例得出物性参数对裂纹端强度因子的影响情况,梯度参数、裂纹半长以及材料宽度的增大均会使强度因子增大,但增大的趋势有所不同.

Under the condition of non-permeable crack boundary,the Fourier transform is used to convert the edge value problem into an integral equation.Finally,the Gauss-Chebychev integral formula is used to solve the problem,and the analytical formula of the local field of the crack tip is obtained.The influence of physical properties on the strength factor at the crack end is obtained by numerical example,and the increase in gradient parameters,crack half length,and material width all lead to an increase in the strength factor,but the increasing trend is different.