功能梯度圆柱壳的弹塑性屈曲

兰州理工大学学报 ›› 2021, Vol. 47 ›› Issue (5): 167-172.

• 数理科学 • 上一篇

功能梯度圆柱壳的弹塑性屈曲

张靖华^*, 郑武

兰州理工大学理学院, 甘肃兰州 730050

收稿日期:2020-03-06 出版日期:2021-10-28 发布日期:2021-11-18
通讯作者: 张靖华(1979-),甘肃渭源人,博士,教授,博导.Email:zhangjinghua@xjtu.edu.cn
基金资助:
国家自然科学基金(12062010,11862012)

Elastoplastic buckling of functionally graded cylindrical shells

ZHANG Jing-hua, ZHENG Wu

School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China

Received:2020-03-06 Online:2021-10-28 Published:2021-11-18

摘要/Abstract

摘要： 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.

关键词: 功能梯度材料, 弹塑性屈曲, 辛方法, 轴向压缩

Abstract: 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.

Key words: functionally graded materials, elastoplastic buckling, symplectic method, axial compression

中图分类号:

O343

张靖华, 郑武. 功能梯度圆柱壳的弹塑性屈曲[J]. 兰州理工大学学报, 2021, 47(5): 167-172.

ZHANG Jing-hua, ZHENG Wu. Elastoplastic buckling of functionally graded cylindrical shells[J]. Journal of Lanzhou University of Technology, 2021, 47(5): 167-172.

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功能梯度圆柱壳的弹塑性屈曲

Elastoplastic buckling of functionally graded cylindrical shells

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