Aiming at the structure under thermal load,a thermal control scheme of delaying the temperature rise of the structure by introducing aluminum based phase change material is studied.Because of the strong nonlinearity of the heat conduction process with phase change,it is very difficult to calculate the sensitivity information.To overcome this problem,a topology optimization method of cross section considering heat conduction process with phase change and material temperature effect is proposed based on Kriging surrogate model optimization algorithm and MFSE (Material Field Series Expansion) topology description method with less design variables,which takes the weight as the constraint and the maximum bending rigidities as the objective.Two kinds of aluminum based phase change materials are studied,the material distribution form with the largest bending rigidities under thermal load is obtained.The analysis of the optimal configuration shows that the addition of aluminum based phase change material in the section of TA15 stiffeners can effectively prolong the working time of the stiffeners in high temperature environment.