梯度功能材料薄板瞬态热弹性弯曲有限元分析

用层合板有限元法分析了由ZrO2和Ti-6Al-4V组成的新型梯度功能材料薄板的瞬态热弹性弯曲应力问题，并对本方法的正确性进行了检验。讨论了加热、 冷却热边界条件以及两种力学边界条件(固支和简支)对梯度功能材料薄板的瞬态热弹性弯曲应力分布的影响。发现：(1) 在加热过程中，简支板低温金属侧出现较大压应力；在冷却过程中，简支板高温陶瓷侧出现较大拉应力; 且其拉、压应力会随着板上、下表面温差的增大而增大。(2) 无论是简支板还是固支板, 在冷却过程中，沿整个厚度板内部压应力均较大。(3) 在本文的相同条件下，固支板比简支板更适合高温、大温差的使用环境。

TRANSIENT THERMAL BENDING ANALYSIS OF THIN PLATES OF FUNCTIONALLY GRADIENT MATERIAL BY FINITE ELEMENT METHOD

In this paper, the transient thermal bending stresses in the thin plate made of a new functionally gradient material that consists of ZrO2 and Ti-6Al-4V are analyzed by finite element method (FEM). The accuracy of this method is examined. The effects of the one-cycle thermal boundary condition of heating and cooling and two kinds of mechanical boundary conditions (simply supported and clamped)on the thermal stresses in the plate are discussed. It is found that large compressive stresses appear on the metal surface (simply supported) during the heating process. On the other hand, large tensile stresses appear on the ceramic surface (simply supported) during the cooling process. These large tensile and compressive stresses increase with the temperature difference on the two surfaces. In addition, compressive stresses throughout the thickness of the plate (simply supported and clamped) are large during the cooling process. It is also found that clamped plates are more suitable for the application environment of high temperature and large temperature difference than simply supported plates.