轴压功能梯度材料圆柱壳的弹、塑性屈曲分析

功能梯度材料板壳弹性屈曲领域研究已取得许多卓有成效的成果,而弹塑性、塑性屈曲问题的研究却鲜有报道。针对功能梯度材料圆柱壳的弹、塑性屈曲问题,采用有限元软件ABAQUS开展了数值模拟与分析。分析中采用叠层模型,定义材料沿厚度方向的梯度特性,计入材料的物理非线性和前屈曲几何非线性的影响。计算得到弹、塑性功能梯度材料圆柱壳的屈曲临界荷载和变形模式,给出了壳体从弹塑性屈曲到塑性屈曲的转化过程,并对屈曲类型对应的区域进行划分,研究了壳体厚度、组分参数对屈曲临界状态的影响。

Elastic and plastic buckling analysis for axial loaded cylindrical shells made of functionally graded materials

Great achievements have been so far made in the research field of elastic buckling of functionally graded plates and shells;however,research of elastic-plastic buckling and plastic buckling behavior is rarely reported.Numerical simulation and an-alyses are presented for elastic-plastic and plastic buckling problems of cylindrical shells made of functionally graded materials by finite element code ABAQUS.The characteristics of gradient material in the thickness direction are defined by employing laminate model.The physical nonlinearity of materials and the geometrical nonlinearity in the prebuckling state are taken into account.At the same time,the buckling critical loads and the deformation modes are derived for elastic-plastic and plastic functionally graded material cylindrical shells.The conversion from the elastic-plastic buckling to the plastic buckling of the shells is presented,and the districts corresponding to various buckling types are divided.Various effects of shell thickness and the exponent parameters on the buckling critical state are discussed.