目的 对热机械载荷环境下的金属/陶瓷功能梯度材料涂层板进行安定性分析，并获得其安定载荷区域，为其工程安全使用提供一定的理论依据。方法 在已有工作基础上，采用分段指数函数模型描述梯度涂层板中的材料热物参数空间梯度分布，基于静力安定理论建立梯度涂层板弹性区域的理论分析模型和安定区域的理论分析模型，通过编程数值计算，结合自平衡的残余应力场和板内应力分布情况，分析了Al/SiC功能梯度材料涂层板的安定区域。结果 计算分析出Al/SiC功能梯度材料涂层板弹性区域边界和安定区域边界，其中安定区域边界由两部分组成，一部分为Shakedown-Reversed Plasticity boundary（S-RP），另一部分为Shakedown-Incremental Collapse boundary（S-IC），并得到处于安定情况下所能承受的极限热载增量为 ℃，单位厚度下所能承受的极限机械载荷为 。涂层板上表面热物理性能最弱，最容易发生塑性循环变形破坏。结论 根据安定分析结果，可预先选择功能梯度涂层板所能使用的热机械环境，为涂层板的安全使用提供可靠的理论依据。另外，为得到更佳的安定区域和适应更苛刻的热机械环境，安定分析结果可对涂层板制备优化设计提供较好的参考。

The work aims to analyze the shakedown of metal/ceramic functionally graded material coating plate under thermo-mechanical loading and obtain its shakedown area, so as to provide theoretical basis for its safe using in engineering. Based on the previous work, the piecewise exponential function models were given to describe the space graded distribution of material thermal and physical parameters in the graded coating plate. Then, based on the static shakedown theory, the theoretical analysis model for elastic region and shakedown region of graded coating plate was established. Combined with stress distribution of graded coating plate and the balance of residual stress field, shakedown of Al/SiC functionally graded material coating plate was analyzed through the programmed numerical computation. The elastic region boundary and the shakedown region boundary of Al/SiC functionally graded material coating plate were obtained by computational analysis. The shakedown region boundary consisted of two parts, the Shakedown-Reversed Plasticity boundary (as S-RP) and the Shakedown-Incremental Collapse boundary (as S-IC). The extreme thermal load increment ℃ and the mechanical loading limits of unit thickness of the graded coating plate were obtained in the shakedown condition. The thermal and physical properties of coating plate at the upper surface was the weakest, and plastic cyclic deformation was most likely to occur on this surface. According to the results of shakedown analysis, thermal mechanical environment can be pre-selected for the functionally graded coating plate so as to provide the reliable theoretical basis for the safe using. To get better shakedown area and adapt to more serious thermal mechanical environment, shakedown analysis results can provide a well reference for optimization design of graded coating plate preparation.