面内预应力功能梯度材料矩形板的横向弯曲

Bending of Prestressed Functionally Graded Rectangular Plates

功能梯度材料(FGM)是一类具有广阔应用前景的新型复合材料。本文考虑材料物性参数随坐标和温度变化的特性,研究横向荷载和面内预加荷载作用下FGM矩形板在各种边界条件下的弯曲问题。给出了基于一维微分求积格式和Galerkin技术的半解析方法,并以ZrO_2/Ti-6Al-4V板为例考察了材料组份、温度相关性、面内预加荷载、边界约束条件等对FGM板弯曲行为的影响。结果表明,FGM板的弯曲变形介于各向同性陶瓷板与各向同性金属板之间,且随板抗弯刚度的增大而逐步减小,在高温下条件下必须考虑材料物性和温度的相关性。

Functionally graded material (FGM) is regarded as one class of advanced material for the next generation. The objective of this paper is to investigate the bending behavior of pre-stressed functionally graded rectangular plates with temperature-dependent material properties and under various boundary conditions. On the basis of one-dimensional differential quadrature approximation and Galerkin method, a semi-analytical approach was then developed for the purpose. Numerical illustrations for ZrO2/Ti-6Al-4V plates are intended to show the effects of volume fraction index, tempreature-dependency of material properties, initial in-plane loads and the character of boundary conditions on the bending behavior of the FGM plate. The results reveal that the bending deflection of the FGM plates is intermediate to those of the metal and the ceramic plates, and decreases as plate stiffness increases. They also confirm that the temperature-dependency of material properties should be taken into account for accurate analysis in particular at high temperature.