无限长不同功能梯度压电有限层合板中裂纹对SH波的散射

摘要

The scattering of SH wave through cracks in finite piezoelectric Laminated plate with infinite length and functional gradient was discussed. Taking account of electro-permeable boundary conditions, the Fourier transform was used to reform the solution of mixed boundary-value problem to the solution of dual integral equations, which were then reduced to a Fredholm integral equation by using Copson method to conduct further the numeric solution and determine the stress intensity at the crack tip. Finally, the effect of material gradient parameter on the normalized dynamic stress intensity factor was discussed.%讨论无限长不同功能梯度压电有限层合板中裂纹对SH波的散射,在电渗透型边界条件情况下,将考虑的问题通过Fourier积分变换把混合边值问题的求解转化为对偶积分方程,然后利用Copson方法将得到的对偶积分方程转化为Fredholm积分方程再进行数值求解,得到裂纹尖端的应力强度因子.讨论材料梯度参数等因素对标准动应力强度因子的影响.