This paper investigates the fracture characteristics of a Yoffe conductive crack moving along the interface of piezoelectric (PE)/piezomagnetic (PM) bimaterials. By assuming that the tangential electric- and magnetic-fields along the crack surface are zero and that the speed of the moving crack is lower than the minimum shear wave speed of the bimaterial system, the considered problem can be transformed into a Riemann–Hilbert boundary value problem of vector form. Then, the singularity parameters are exactly solved for different speed regions. In contrast to the anti-plane moving crack model including impermeable and permeable crack-face assumptions along the interface of magnetoelectroelastic (MEE) bimaterials studied before, which shows inverse square-root singularity, three novel kinds of singularities are found as the speed of the moving crack is varied for the present PE/PM interface model, which can be defined as δ_1,2 = − 1/2 ± iε (Case 1), δ_1,2 = − 1 ± iε (Case 2) and δ_1,2 = − 1/2 ± κ (Case 3), and the third parameter δ₃ = − 1/2 always holds true for all three cases. Two bimaterial combinations, i.e., BaTiO₃/CoFe₂O₄ and BaTiO₃/Terfenol-D, are numerically examined. Different from the piezoelectric case, Case 3 does not appear for BaTiO₃/CoFe₂O₄ bimaterial combination. Above all, the singularity parameters significantly depend on the speed of the moving crack and the material properties of bimaterial systems.

本文研究了沿压电（PE）/压电（PM）双材料界面移动的Yoffe导电裂纹的断裂特性。通过假设沿裂纹表面的切向电场和磁场为零，并且移动裂纹的速度低于双材料系统的最小切变波速度，可以将所考虑的问题转换为黎曼-希尔伯特边界向量形式的价值问题。然后，针对不同的速度区域精确求解奇异性参数。与先前研究的沿磁电弹性（MEE）双材料界面包括反渗透和渗透裂纹面假设的反平面运动裂纹模型相反，该模型显示出平方根反比奇异，δ _1,2  = - 1/2±I ε（情况1），δ _1,2  = - 1±I ε（情况2）和δ _1,2  = - 1/2±  κ（情形3），和第三个参数δ ₃  = - 1/2总是适用于所有三种情况属实。在数值上检查了两种双材料组合，即BaTiO ₃ / CoFe ₂ O ₄和BaTiO ₃ / Terfenol-D。与压电情况不同，BaTiO ₃ / CoFe ₂ O ₄不出现情况3双材料组合。最重要的是，奇异性参数很大程度上取决于运动裂纹的速度和双材料系统的材料特性。