热电材料中含椭圆夹杂问题的精确解

Exact Solutions of Elliptical Inclusion in Thermoelectric Materials

主要研究了热电材料中含椭圆夹杂问题.假定受到无穷远处的热流和电流荷载条件下,采用保角变换和复变函数方法研究了热电材料中的椭圆夹杂问题,得到了基体和夹杂中的温度场和电场的复势表达式,还通过数值算例分析了椭圆夹杂物对热流和电流的影响.

In the present work,the problem for elliptical inclusion of thermoelectric materials is studied.The inclusion is assumed to be perfectly bounded to the matrix,which is subjected to uniform heat flux and electric flux at infinity.The problem of elliptic inclusion in thermoelectric materials is investigated by using conformal mapping and complex function method.The complex expressions of temperature field and electric field in inclusion and matrix are obtained.The effects of elliptic inclusion on the electric flux and heat flux are analyzed by numerical examples.