采用弹性力学、复合材料力学以及计算数学的有关理论，建立起了轴对称功能梯度材料分析模型，结合这类材料实际应用背景，给出了理论模型求解的边界条件。在求解梯度层层间热应力的过程中，引入了三角级数来描述功能梯度材料层间热应力，从而得到了层间热应力的精确解，以此优化这类材料的设计与实现该类材料的成功制备。 Based on the theory of elasticity, composite mechanics and computational mathematics, the analytical model of axially symmetric functionally graded material is established. Combining with the practical application of this kind of material, the boundary conditions of the theoretical model are given. In the process of solving the thermal stress between layers, a series of trigonometric series is introduced to describe the thermal stress between the layers of the functionally graded material, so as to obtain the exact solution of the thermal stress between layers, so as to optimize the design and realization of such materials Successful preparation of materials.