谢超^*， 马廷锋

（  宁波大学机械工程与力学学院；  ）

摘要： 基于复势函数方法，本文研究了多场耦合效应对无限电热弹性平面中半渗透裂纹的干涉问题。在此问题中，热、力、电联合荷载对裂纹的干涉作用被考虑。以封闭形式给出了温度场、电场、电位移强度因子和应力强度因子的精确表达式。讨论了联合荷载、材料刚度、热电耦合和介电渗透性对裂纹内电场及应力和电位移强度因子的影响机制。
关键词： 固体力学；半渗透裂纹；电热弹性材料；强度因子

Xie Chao^*， Ma Tingfeng

（  The faculty of mechanical engineering and mechanics，Ningbo University，Ningbo 315211；  ）

Abstract： Based on complex potential method, this paper studies the multi-field coupling effects on a semi-permeable crack in an infinite electro-thermo-elastic material subjected to combined mechanical, thermal and electric loads. The explicit expressions of temperature field and electroelastic field are given in closed form and the expressions of electric displacement intensity factor and stress intensity factors are also presented. Numerical curves are shown to discuss the effects of combined loads, material stiffness, thermoelectric coupling and dielectric permeabilities on the induced electric field inside the crack and intensity factors of stresses and electric displacement.

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