电磁材料中界面裂纹的解析解

给出了压磁材料中可导通反平面剪切界面裂纹的解析解.首先利用付里叶变换,使问题的求解转换成对一对变量为裂纹面上位移差的对偶积分方程的求解.在求解对偶积分方程时,把裂纹面上张开位移展开成雅可比多项式形式,进而可以获得应力强度因子、电位移强度因子和磁通量强度因子的解析解.从解析解中可以发现裂纹的应力强度因子与电位移强度因子和磁通量强度因子无关.

A Closed Form Solution of an Interface Crack in Piezoelectric/Piezomagnetic Materials

A closed form solution of an interface crack between two dissimilar piezoelectric/piezomagnetic material half planes under anti-plane shear stress loading is obtained for the permeable crack surface conditions.By using the Fourier transform,the problem can be solved with a pair of dual integral equations in which the unknown variable is the jump of displacements across the crack surfaces.In solving the dual integral equations,the jump of displacements across crack surface is expanded in a series of Jacobi polynomials.The closed form solution of stress intensity factor,electric displacement intensity factor and magnetic flux intensity factor are given.It can be obtained that stress intensity factor is independent of electric intensity factor or magnetic flux intensity factor.