单轴面内压缩功能梯度材料矩形板的弹塑性屈曲和后屈曲

Elastic-Plastic Bucking and Postbuckling of Uniaxial Inplane-Loaded Rectangular Plates Made of Functionally Graded Materials

采用有限元程序ABAQUS研究了功能梯度材料矩形板的弹塑性屈曲和后屈曲问题.为计入材料物理非线性效应和结构变形几何非线性效应的影响,分析中调用Riks算法进行计算,给出了板弹性屈曲、弹塑性屈曲、塑性屈曲的大致厚度范围.结果表明,组分参数对FGM板屈曲及后屈曲性能的影响较大,同时,对于功能梯度材料矩形板的后屈曲平衡路径,按弹性与弹塑性两种不同分析方法得出的结果之间存在巨大差异.

Elastic-plastic buckling and postbuckling problems of functionally graded rectangular plates were investigated by using finite element program ABAQUS. Functionally graded materials were defined as a composite laminate composed of multi-homogeneous material layers, whose material properties were given according to the TTO homogeneous model. The Riks algorithm was adopted to take the material physical nonlinear effect and the geometrical nonlinear effect of structural deformation into account. Approximate ranges of plate thickness were obtained for elastic buckling, elastic-plastic buckling, and plastic buckling of the plates. Results show that the component parameter is of significant effects on buckling and postbuckling performances of the plates, meanwhile, there is a tremendous difference between the postbuckling equilibrium paths of elastic and elastic-plastic functionally graded rectangular plates.