Temperature is an important factor affecting the physical and chemical properties of materials, especially when the temperature changes significantly, such as in the process of heat conduction. The corresponding changes of material properties greatly complicate the distribution of temperature and thermal stress, and make it much more difficult to accurately solve the thermal-elastic field. Using the generalized complex variable method, the thermal-elastic problem of an elliptic cavity embedded in an infinite medium has been analyzed in this paper, with the temperature dependence of thermal conductivity, elastic modulus and thermal expansion coefficient fully accounted for. The temperature, thermal flux and thermoelastic fields have been obtained analytically. The analytical and numerical results show that thermal flux solution is consistent with the temperature independent case, while the temperature and thermal stress solutions are much more complicated. When the elliptical cavity degenerates into a crack, Mode I thermal stress intensity factor $K_1$ has a tiny negative value, which indicates that thermal flux can actually close the crack slightly. In addition, both $K_1$ and $K_2$ vary nonlinearly with remote thermal loads, and depend on $3/2,5/2$ and $7/2$ power of crack length. These results provide a powerful tool for the failure and reliability analysis of temperature dependent materials.

温度是影响材料物理和化学性质的重要因素，尤其是当温度发生显着变化时，例如在导热过程中。材料特性的相应变化极大地使温度和热应力的分布复杂化，并使精确求解热弹性场变得更加困难。利用广义复变量法，分析了嵌入无限介质中的椭圆腔的热弹性问题，充分考虑了导热系数，弹性模量和热膨胀系数的温度依赖性。通过分析获得了温度，热通量和热弹性场。分析和数值结果表明，热通量解与温度无关情况是一致的，而温度和热应力解则复杂得多。当椭圆形空腔退化为裂纹时，I型热应力强度因子${ķ}_{\mathrm{1个}}$负值很小，表明热通量实际上可以稍微闭合裂纹。另外，两者${ķ}_{\mathrm{1个}}$ 和 ${ķ}_2$ 随远程热负荷非线性变化，并取决于 $3/2，5/2$ 和 $7/2$裂纹长度的力量。这些结果为温度相关材料的失效和可靠性分析提供了强大的工具。