中文摘要：

本文从建筑外表隔热的角度，首先建立了相变传热的数学模型，利用拉普拉斯变换方法，分析了边界恒温作用下相变材料中的相变过程。而后从理论上导出了相界面移动位置和速率的计算公式，公式表明，相界面移动位置与时间的平方根成正比，相界面移动的速率与时间的平方根成反比，两者都与相对于相变点的边界剩余温度的平方根成正比。所得结论为波动热作用下建筑外表相变传热数值计算奠定了基础。

英文摘要：

In this paper,focusing on the heat insulation of building skin,a mathematical model for phase change heat transfer was firstly established, and Laplace transformation method was used to analyze the phase change process in material when constant temperature was maintained on the boundary. And then, formulas for calculating the moving position and velocity of the phase interface were theoretically derived, which indicated that the moving position and velocity of the phase interface were respectively in proportion and inverse proportion to the square root of time, and both of them were in proportion to the square root of the remain temperature on the boundary surface. The conclusion of this study provided a foundation for numerical calculation of phase change heat transfer in material with periodic heating or cooling of building skin.