采用在时间域内迭归算法为基础的混合有限元法分析了具有各种温度边界条件下复合材料层合板非线性热传导问题。在分析中考虑了材料热物理性质随温度变化的因素。为了提高瞬态温度场数值分析精度和改善数值计算稳定性，提出了一种新的离散原则，其中包括增量时间步长和有限元离散网格尺寸的选择以及它们之间的优化匹配原则。以［０°／９０°］ｓ碳／环氧Ｔ３００／５２２２为例，给出了数值分析结果。数值结果表明，在复合材料及其结构分析和设计中，必须考虑材料热物理性质随温度的变化。 Nonlinear thermal conductivity of composite laminates with various temperature boundaries was analyzed by using the mixed finite element method based on the regressive algorithm in the time domain. In the analysis, the factors that affect the thermophysical properties of the material with temperature are taken into account. In order to improve the numerical analysis accuracy of transient temperature field and improve the numerical stability, a new discrete principle is proposed, including the selection of incremental time step and finite element discrete grid size and the principle of optimal matching between them. Taking [0 ° / 90 °] s carbon / epoxy T300 / 5222 as an example, numerical analysis results are given. Numerical results show that in the composite materials and their structural analysis and design, the thermophysical properties of materials must be changed with the temperature.