沿板平面材料梯度变化的二维梯度薄板挠度分析

Deflection analysis of two-dimensional graded thin plates varying along plane direction

采用有限单元法,分析了由Ti-6Al-4V、Al 1100和ZrO_2组成的二维功能梯度材料(2D-FGM)薄板的小挠度问题,计算了在不同温度环境下,四边简支受均布荷载的2D-FGM薄板挠度值和四边固支受均布荷载的2D-FGM薄板挠度值,并对本方法进行了正确性检验,给出了2D-FGM薄板挠度分布图。进一步讨论了温度和孔隙率对2D-FGM薄板挠度的影响。结果表明,温度和孔隙率对受载2D-FGM薄板挠度变形影响较为明显,在环境温度不变的情况下,四边固支和四边简支的2D-FGM薄板挠度都随孔隙率的增大而逐渐变大,在孔隙率不变情况下,四边固支和四边简支的2D-FGM薄板挠度都随环境温度的不断升高而逐渐变大。

The small deflection of the two dimensional functionally graded material （2D-FGM） thin plate （Ti-6Al-4V, Al 1100 and ZrO2） is analyzed by the finite element method（FEM） .The deflection value of 2D-FGM thin plate subjected to uniform distributed load with four edges simply-supported or clampedsupported is calculated under different temperatures. At the same time, the accuracy of this method is examined. The deflection distribution diagrams are obtained. Effects of temperature and porosity on the deflectioh of 2D-FGM thin plate are discussed. The results show that the influence of temperature and porosity-on the load 2D-FGM thin plate is obvious. In the case of constant ambient temperature, the deflection of 2D-FGM thin plate with four edges clamped-supported and four edges simply-supported increases with the increasing of porosity. Under the condition of constant porosity, the deflection of 2D-FGM thin plat6 with four edges clamped-supported and four edges simply-supported increases with the increasing of temperature.