金属/陶瓷功能梯度材料(FGM)板的安定区域分析  

Shakedown analysis of metal/ceramic functionally graded material(FGM) plate

作　　者：郑恒伟[1,2,3] 陈小亮[1] 陈世嵬[1] 

机构地区：[1]重庆科技学院力学系,重庆401331 [2]重庆材料研究院,重庆400707 [3]清华大学航天航空学院,北京100084

出　　处：《西北大学学报（自然科学版）》2017年第4期487-491,共5页Journal of Northwest University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(11602042);重庆市科委基础与前沿研究基金资助项目(cstc2015jcyj A0955);重庆市博士后特别资助基金资助项目(Xm2016034);重庆科技学院校内基金资助项目(CK2016B16)

摘　　要：安定性对受到热机械载荷作用下的金属/陶瓷功能梯度材料板的设计与分析非常重要。对受到常机械载荷和循环温度作用下的由弹塑性金属材料和陶瓷相材料构成的功能梯度材料(FGM)板进行安定性分析,其中板的材料热物参数空间变化采用指数函数模型描述。首先给出温度变化在FGM板厚度方向的分布函数,根据平面应力状态,分别给出机械应力和热应力纯弹性解,然后基于静力安定定理推导出了安定分析理论模型,并对具体的FGM板进行了安定性分析。结果表明相同组分材料且各组分材料总体积含量相同条件下的复合材料,组分材料沿板厚度方向连续梯度变化可提高板的安定性。Shakedown is an important problem in the design and analysis of functionally graded structures sub- jected to cyclic thermal and mechanical loadings. The static shakedown of a functionally graded material plate subjected to constant mechanical load and cyclic temperature change was analyzed with the approach proposed by the authors previously. The functionally graded material plate is composed of elastoplastie metallic matrix reinforced by elastic ceramic particles, with the effective mechanical properties varying continuously along the thickness of plate by an exponential function and temperature vary linearly along the thickness by a linear func- tion. Based on theory of static shakedown analysis, shakedown analysis model is obtained with purely elastic solution of mechanical stress and thermal stress. The results show that a proper continuously graded distribu- tion of material properties can efficiently improve the shakedown capability of the functionally graded material plate.

关 键 词：热机械载荷 安定性分析 金属/陶瓷功能梯度材料板 

分 类 号：O034[理学]