功能梯度圆柱壳的弹塑性屈曲

研究了功能梯度材料(FGM)圆柱壳在轴向均匀压缩载荷作用下的弹塑性屈曲行为.基于线性混合强化弹塑性模型,给出FGM圆柱壳的材料特性表达式和弹塑性本构方程.引入Hamilton原理,将FGM圆柱壳的弹塑性屈曲行为转化为求解辛空间的特征值问题.进一步利用分叉条件计算出正则方程广义特征值对应的屈曲临界载荷,联合屈服条件获得屈曲壳的弹塑性分界面位置.并讨论了材料梯度参数、结构几何参数对弹塑性屈曲临界载荷和弹塑性分界面的影响.

Elastoplastic buckling of functionally graded cylindrical shells

The elastoplastic buckling behaviors of functionally graded materials (FGM)cylindrical shells under uniform axial compression are investigated. Based on the linear mixed enhanced elastoplastic model, material properties and elastoplastic constitutive equations of the FGM are given. Then, Hamilton principle is introduced, and the elastoplastic buckling is simultaneously transformed into solving eigenvalue in symplectic space. Furthermore, critical buckling loads corresponding to generalized eigenvalues of canonical equation are calculated by the bifurcation condition,and locations of the elastoplastic interface are obtained by combining the yield condition. The effects of material gradient parameters and structural geometry parameters on the critical loads and the elastoplastic interfaces are discussed.