摘要
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.
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 the jump of displacement across 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.
出处
《应用数学和力学》
EI
CSCD
北大核心
2007年第5期551-560,共10页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(10572043
10572155)
黑龙江省杰出青年基金资助项目(JC04-08)
关键词
功能梯度压电压磁材料
界面裂纹
应力波
functionally graded piezoelectric/piezomagnetic material
interface crack
stress wave
