根据传热学、渗流理论及冻土力学提出了带相变的温度场、水分场和应力场耦合问题的数学力学模型及其控制方程。利用自行开发的程序进行数值模拟,加入我们推出的本构关系和所建立的数学力学模型,通过对冻土路基水分场、温度场、应力场三场的数值计算结果分析,得到了准确、详尽的符合实际的温度场与应力场、位移场、应变场耦合的计算结果。
According to heat transfer, filtration theory and mechanics of frozen soil, a mathematics model and its control equation were put forward, which is of the coupling problem of temperature field, water field and stress fields. By utilizing the program developed by ourselves and the constitutive relation and mathematics mechanics model which we built up, numerical analysis was carried out to obation moisture, temperature and stress fields of frozen roadbed. The result agreed with actual temperature field coupled with stress field, moisture field and strain field, and is consistent with the result of predecessors and the test result.