中文摘要：

基于磁弹性耦合问题的线性化理论，采用Fourier变换方法对含内部中心裂纹的无限大板在外力和磁场共同作用下的变形扰动磁场进行了求解，得到了变形后扰动磁场的解析解．结果表明：变形扰动磁场场强与外力成正比；切向强度沿裂纹呈反对称分布，在裂纹上下表面产生突变；法向强度沿裂纹对称分布，在裂纹尖端产生奇点．

英文摘要：

Based on the linearized magnetoelastic theory, an infinite ferromagnetic elastic plate containing a central crack was considered, and the perturbed magnetic fields generated by structural deformation under magnetic fields perpendicular to the crack was analyzed by applying Fourier transform method. The results show that the perturbed magnetic field intensity is proportional to the applied tensile stress, and it is dominated by the displacement gradient on the boundary of the magnetoelastic solid. As for the magnetic intensity components to the boundary of the structure, the tangent shows antisymmetric distribution along the crack and inverses its direction sharply at the two faces of the crack, while the normal shows symmetric distribution along the crack and presents singular points at the crack tips.