加层电磁弹性材料界面裂纹瞬态响应

研究加层电磁弹性材料界面裂纹在反平面剪切冲击载荷和面内电磁冲击载荷作用下的动态响应问题。假设裂纹面是电磁不导通的。采用Laplace变换、Fourier变换和位错密度函数将混合边值问题转化为求解Laplace域内Cauchy奇异积分方程。讨论了磁冲击载荷、电冲击载荷、材料参数及加层厚度对能量释放率的影响。该问题的解有助于分析含裂纹电磁弹性材料的动态断裂特性。

TRANSIENT RESPONSE OF IN TERFACE CRACK BETWEEN MAGNETO-ELECTRO-ELASTIC LAYER AND DISSIMILAR HALF-INFINITE MEDIUM

The dynamic responses, of an interface crack between a magneto-electro-elastic layer and a dissimilar magneto-electro-elastic medium subjected to anti-plane mechanical and in-plane magneto-electrical impacts are investigated. Impermeable magneto-electric boundary condition on crack surface is assumed. Laplace and Fourier transforms and dislocation density functions are employed to reduce the mixed boundary value problem into Cauchy singular integral equations in Laplace transform domain. Numerical results are presented graphically. The effects of electric impact loads, magnetic impact loads, geometry criterion of magneto-electro-elastic layer and material properties on the dynamic energy release rates are discussed. The solution of this problem is expected to be useful for the investigation of dynamic fracture properties of magneto-electro-elastic materials with cracks.