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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

田燕萍, 傅衣铭. 考虑损伤效应的正交各向异性板的弹塑性后屈曲分析[J]. 应用数学和力学, 2008, 29(7): 764-774.
引用本文: 田燕萍, 傅衣铭. 考虑损伤效应的正交各向异性板的弹塑性后屈曲分析[J]. 应用数学和力学, 2008, 29(7): 764-774.
TIAN Yan-ping, FU Yi-ming. Elasto-Plastic Postbuckling Analysis of Orthotropic Plates Including Damage Effects[J]. Applied Mathematics and Mechanics, 2008, 29(7): 764-774.
Citation: TIAN Yan-ping, FU Yi-ming. Elasto-Plastic Postbuckling Analysis of Orthotropic Plates Including Damage Effects[J]. Applied Mathematics and Mechanics, 2008, 29(7): 764-774.

考虑损伤效应的正交各向异性板的弹塑性后屈曲分析

基金项目: 国家自然科学基金资助项目(10572049)
详细信息
    作者简介:

    田燕萍(1983- ),女,博士(联系人.Tel:+86-731-8822421;Fax:+86-731-8822330;E-mail:tianyanp@gmail.com);傅衣铭(1945)),男,教授(E-mail:fym-2581@hnu.cn).

  • 中图分类号: O344

Elasto-Plastic Postbuckling Analysis of Orthotropic Plates Including Damage Effects

  • 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.
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出版历程
  • 收稿日期:  2007-09-05
  • 修回日期:  2008-06-17
  • 刊出日期:  2008-07-15

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