热电材料孔边周期裂纹问题的热电弹分析

论文研究了均匀电流密度和能量流作用下,热电材料中带4k个周期径向裂纹的圆形孔口问题.考虑非渗透型电和热边界条件,运用复变函数理论和保形映射方法,得到了热电材料中电流密度、能量密度和应力场的精确解.依据断裂力学理论,运用Cauchy积分公式得到了周期裂纹的电流、能量和应力强度因子.数值结果分析了场强度因子随各个参数的变化...

Thermoelastic Analysis of Periodic Cracks Originating from a Circular Hole in the Thermoelectric Material

In this paper，the problem of a circular hole with periodic radial cracks in thermoelectric material subjected to the uniform electric current and energy flux is studied. Considering the electrical and thermal impermeable boundary conditions，the exact solutions of electric current density，energy density and stress field in thermoelectric material are obtained by using complex function theory and conformal mapping method. According to the theory of fracture mechanics， the electric current，energy and stress intensity factors of periodic cracks are obtained by using Cauchy integral formula. The numerical results show that the intensity factors are proportional to the applied far-field loads，and these field intensity factors are closely related to the radius of the circular hole and the length of the crack. The results of this paper can promote the establishment of fracture mechanics theory system of thermoelectric material， and provide technical support for the reliability design and optimization of thermoelectric components.