弹性椭圆夹杂的线性温变问题

研究了线性温变作用下椭圆夹杂的热弹性问题。通过构造辅助函数，将复变函数的分区全纯函数理论，Riemann边值问题和Cauchy型积分相结合，求得各分区之间的解析关系，从而获得了无穷远均匀加载和线性温变共同作用下椭圆夹杂平面热弹性场的封闭形式解。从本文解答的特殊情况可直接得到已有的若干结果，并可得到一些具有实际意义的新结果。本文发展的分析方法，为求解复杂多连通域的平面热弹性问题提供了一条有效途径。

Thermoelastic Problem of an Elliptical Inclusion under a Linear Temperature Variation

The closed form solution for the thermoelastic field with an elliptical inclusion under remote uniform plane loads and a linear temperature variation is provided. By combining the complex variable theory of sectionally holomorphic function, Cauchy model integral and Riemann boundary problem, the analysis relation between the sectionally functions is obtained and the problem is transformed into an elementary complex potentials function equation. The obtained solutions include several previous known solutions as the special cases, and provides several new results. The developed method offers an effective way for solving the plane thermoelastic problems on complex multiply connected region.