在这篇论文,在机能上地分级的 piezoelectric/piezomagnetic 材料的一个可渗透的裂缝的动态行为被调查。使分析易控制,材料性质与并列平行指数地变化到裂缝,这被假定。由使用 Fourier 变换,这个问题能在在的一双双不可分的方程的帮助下被解决未知是越过裂缝表面的排水量的 jump。这些方程被解决获得关系在之间电走,磁性的流动地和动态压力地用 Schmidt 方法接近裂缝尖端。数字例子被提供在压力,电的排水量和裂缝的磁性的流动紧张因素之上显示出机能上地分级的参数和事件波浪的圆形的频率的效果。
In this paper, the dynamic behavior of a permeable crack in functionally graded piezoelectric/piezomagnetic materials is investigated. To make the analysis tractable, it is assumed that the material properties vary exponentially with the coordinate parallel to the crack. By using the Fourier transform, the problem can be solved with the help of a pair of dual integral equations in which the unknown is the jump of displacements across the crack surfaces. These equations are solved to obtain the relations between the electric filed, the magnetic flux field and the dynamic stress field near the crack tips using the Schmidt method. Numerical examples are provided to show the effect of the functionally graded parameter and the circular frequency of the incident waves upon the stress, the electric displacement and the magnetic flux intensity factors of the crack.