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用有限元法对激光烧结Ａｌ２Ｏ３／Ｔｉ系ＦＧＭ的温度场和残余热应力场进行了模拟计算，并对烧结过程试样中的温度分布进行了实时测量。结果表明：激光照射面（Ａｌ２Ｏ３层）和背光面（Ｔｉ层）的温度落差为３２５℃。陶瓷侧温度梯度大于金属侧，成分梯度指数ｐ值愈大，陶瓷侧温度梯度愈大。试样内残余热应力分布受ｐ值控制，依据残余热应力最小且陶瓷层为压应力的设计准则，确定了激光烧结Ａｌ２Ｏ３／Ｔｉ系ＦＧＭ的最佳成分梯度指数ｐ＝０．５。
The temperature field and residual thermal stress field of the laser sintered Al2O3 / Ti FGM were simulated by finite element method. The temperature distribution in the sintered sample was measured in real time. The results show that the temperature difference between laser irradiated surface (Al2O3 layer) and backlight surface (Ti layer) is 325 ℃. The temperature gradient on the ceramic side is larger than that on the metal side. The larger the p value of the composition gradient index, the greater the temperature gradient on the ceramic side. The residual thermal stress distribution in the sample is controlled by p value. According to the design criterion that the residual thermal stress is the minimum and the ceramic layer is compressive stress, the optimum composition gradient index p = 0.5 of laser smelting Al2O3 / Ti FGM is determined.