线性温变和点热源作用下椭圆夹杂问题中的温度函数

The temperature field for the problem of an elliptical inclusion under a linear temperature change or a point heat scorce

探讨了如何求解线性温变和点热源作用下椭圆夹杂问题的温度函数.通过将复变函数的分区全纯函数理论、Cauchy型积分和Riemann边值问题相结合,求得各分区之间的解析关系,获得了问题的温度场.

The temperature field for the problem of an elliptical inclusion under a linear temperature change or a point heat source is provided. The analysis is based on the complex variable theory of sectionally holomorphic function, Cauchy type integral and Riemann boundary problem. From the general solutions given in this study, a few special new results as well as several previous known solutions can be easily obtained. The method developed offers an effective way for solving plane thermoelastic problems on a complex multiply connected region.