摘要
利用Schmidt方法对压电压磁复合材料中一对平行对称裂纹对反平面简谐波的散射问题进行了分析,借助富里叶变换得到了以裂纹面上的间断位移为未知变量的对偶积分方程.在求解对偶积分方程的过程中,裂纹面上的间断位移被展开成雅可比多项式的形式,最终获得了应力强度因子、电位移强度因子、磁通量强度因子三者之间的关系.结果表明,压电压磁复合材料中平行裂纹动态反平面断裂问题的应力奇异性与一般弹性材料中的动态反平面断裂问题的应力奇异性相同,同时讨论了裂纹间的屏蔽效应.
The dynamic behavior of two parallel symmetry cracks in magneto-electro-elastic composites trader hamonic anti-plane shear waves is studied by Schmidt method. By using the Fourier transform, the problem can be solved with a pair of dual integral equations in which the unknown variable is the jumps of the displacements across the crack surfaces. To solve the dual integral equations, the jumps of the displacements across the crack surface were expanded in a series of Jacobi polynomials. The relations among the eleciric filed, the magnetic flux and the stress field were obtained. From the results, it can be obtained that the singular stresses in piezoelectric/piezomagnetic materials carry the same forms as those in a general elastic material for the dynamic anti-plane shear fracture problem. The shielding effect of two parallel cracks was also discussed.
出处
《应用数学和力学》
EI
CSCD
北大核心
2006年第5期519-526,共8页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目(502320301017203010572043)
黑龙江省杰出青年基金资助项目(JC04-08)
黑龙江省自然科学基金资助项目(A0301)
关键词
压电压磁复合材料
裂纹
简谐波
对偶积分方程
强度因子
magneto-electro-elastic composites
crack
harmonic waves
dual integral equations
intensity factor
