中文摘要：

利用三维两相横观各向同性电磁固体广义不连续位移Crouch基本解，给出一种三维两相横观各向同性电磁固体内任意形状平片裂纹在不同边界条件下的边界元方法；研究裂纹表面不同电磁边界条件以及界面对解的影响；提出裂纹张开模型，得到力-电-磁联合载荷作用下裂纹腔中的电位移、磁感应强度和广义应力强度因子。

英文摘要：

By using the extended Crouch fundamental solutions in three-dimensional transversely isotropic magnetoelectroelastic bimaterials, an extended displacement discontinuity method is presented for analysis of planar cracks of arbitrary shape under different electric and magnetic boundary conditions in a three-dimensional transversely isotropic magnetoelectroelastic bimaterial. The influences of the interface and different electric and magnetic boundary conditions, i.e., electrically and magnetically permeable, electrically permeable and magnetically impermeable, and electrically impermeable and magnetically permeable, on the solutions are studied. The crack opening model is proposed to obtain the exact solution under combined mechanical-electric-magnetic loadings. The results demonstrate that the extended intensity factors greatly depend on the electric and magnetic boundary conditions on crack faces.