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中文摘要：
通过引入合适的保角映射，利用复变函数方法研究了裂纹面上受反平面剪应力和面内磁电载荷共同作用下狭长磁电弹性体中半无限裂纹的断裂行为，给出了磁电全非渗透型边界条件下裂纹尖端场强度因子和能量释放率的解析解。当狭长体高度趋于无限大时，可得到无限大磁电弹性体中半无限裂纹的解析解。若不考虑磁场或电场作用，所得解可退化为已知解。通过数值算例，分析了裂纹面上受载长度、狭长体高度以及磁、电和机械载荷对能量释放率的影响。
英文摘要：
By introducing an appropriate conformal mapping and using the complex variable function method, the fracture behavior of a semi-infinite crack in a magnetoelectroelastic strip was studied under the anti-plane shear stress and in-plane electric and magnetic loads. The analytical solutions of the field intensity factors and the energy release rate were presented with the assumption that the surface of the crack was electrically and magnetically impermeable. When the height of the strip tends to infinity, the analytical solutions of an infinitely large magnetoelectroelastic solid with a semi-infinite crack were obtained. Moreover, the present results can be reduced to the well-known solutions for a purely elastic material in the absence of electric and magnetic loadings. In addition, some numerical examples were conducted to analyze the influences of loaded crack length, the height of the strip and applied mechanical, electric and magnetic loads on the energy release rate.
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