Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (7): 841-853 .doi: https://doi.org/10.1007/s10483-008-0702-y

• Articles • 上一篇    下一篇

考虑损伤效应的正交各向异性板的弹塑性后屈曲分析

田燕萍,傅衣铭   

  1. 湖南大学力学与航空航天学院,长沙 410082
  • 收稿日期:2007-09-05 修回日期:2008-01-17 出版日期:2008-07-03 发布日期:2008-01-01
  • 通讯作者: 田燕萍

Elasto-plastic postbuckling of damaged orthotropic plates

TIAN Yan-ping, FU Yi-ming   

  1. College of Mechanics and Aerospace, Hunan University, Changsha 410082, P. R. China
  • Received:2007-09-05 Revised:2008-01-17 Online:2008-07-03 Published:2008-01-01
  • Contact: TIAN Yan-ping

摘要: 基于弹塑性力学和损伤理论,建立了一个与应力球张量有关的正交各向异性材料的混合硬化屈服准则,该准则无量纲化后与各向同性材料的Mises准则同构,进而建立了混合硬化正交各向异性材料的增量型弹塑性损伤本构方程和损伤演化方程。基于经典非线性板理论,得到了考虑损伤效应的正交各向异性板的增量型非线性平衡方程,且采用有限差分方法和迭代法进行求解。数值算例中,讨论了损伤演化、初始缺陷对正交各向异性板弹塑性后屈曲行为的影响。数值结果显示了弹塑性后屈曲与弹性后屈曲的不同,并且损伤和损伤演化对板的弹塑性后屈曲的影响不可忽略。

关键词: 正交各向异性板, 弹塑性损伤, 弹塑性后屈曲, 混合硬化, 增量理论

Abstract: Based on the elasto-plastic mechanics and continuum damage theory, a yield criterion related to spherical tensor of stress is proposed to describe the mixed hardening of damaged orthotropic materials. Its dimensionless form is isomorphic with the Mises criterion for isotropic materials. Furthermore, the
incremental elasto-plastic damage constitutive equations and damage
evolution equations are established. Based on the classical nonlinear plate theory, the incremental nonlinear equilibrium equations of orthotropic thin plates considering damage effect are obtained, and solved with the finite difference and iteration methods. In the numerical examples, the effects of damage evolution and initial deflection on the elasto-plastic postbuckling of
orthotropic plates are discussed in detail.

Key words: orthotropic plates, elasto-plastic damage,elasto-plastic postbuckling, mixed hardening, incremental theory

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals