采用有限元方法（ＦｉｎｉｔｅＥｌｅｍｅｎｔＭｅｔｈｏｄ，ＦＥＭ）对Ａｌ２Ｏ３－Ｔｉ系梯度功能材料（ＦＧＭ）在制备过程中产生的残余热应力进行了线弹性分析。详细讨论了梯度层数目、梯度层厚度和成分梯度指数对应力大小和分布的影响，确定了各项最佳参数。非梯度功能材料（ＮＦＧＭ）与优化后的梯度功能材料的残余热应力对比结果显示：梯度功能材料缓和热应力的效果十分显著 The residual thermal stress of Al2O3-Ti gradient functional material (FGM) during the preparation process was linearly analyzed by finite element method (Finite Element Method). The influences of the number of gradient layers, the thickness of gradient layer and the composition gradient index on the size and distribution of stress were discussed in detail. The best parameters were determined. The comparison of the residual thermal stress between NFGM and the optimized gradient functional material shows that the effect of graded functional material on thermal stress relaxation is significant