不同功能梯度压电压磁层状介质中共线界面裂纹的动态性能分挝

对不同功能梯度压电压磁层状介质中,共线界面裂纹对简谐应力波作用下的动态问题,进行了分析.经Fourier变换,使问题的求解转换为求解以裂纹面上位移间断为未知量的三重对偶积分方程,三重对偶方程可以采用Schmidt方法来求解,进而分析了功能梯度参数、入射波频率和层状介质厚度对应力、电位移和磁通量强度因子的影响.     

Dynamic behavior of two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material strips

The dynamic interaction of two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material strips subjected to the anti-plane shear harmonic stress waves was investigated. By using the Fourier transform, the problem can be solved with the help of a pair of triple integral equations in which the unknown variable is jump of displacement across the crack surfaces. These equations are solved using the Schmidt method. Numerical examples are provided to show the effect of the functionally graded parameter, the circular frequency of the incident waves and the thickness of the strip upon stress, electric displacement and magnetic flux intensity factors of cracks.