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基于非协调广义部分混合元的层合板边界效应分析

王燮 卿光辉

王燮, 卿光辉. 基于非协调广义部分混合元的层合板边界效应分析[J]. 复合材料学报, 2022, 39(8): 4172-4178. doi: 10.13801/j.cnki.fhclxb.20210915.003
引用本文: 王燮, 卿光辉. 基于非协调广义部分混合元的层合板边界效应分析[J]. 复合材料学报, 2022, 39(8): 4172-4178. doi: 10.13801/j.cnki.fhclxb.20210915.003
WANG Xie, QING Guanghui. Analysis of laminates free-edge effect based on noncompatible generalized partial mixed elements[J]. Acta Materiae Compositae Sinica, 2022, 39(8): 4172-4178. doi: 10.13801/j.cnki.fhclxb.20210915.003
Citation: WANG Xie, QING Guanghui. Analysis of laminates free-edge effect based on noncompatible generalized partial mixed elements[J]. Acta Materiae Compositae Sinica, 2022, 39(8): 4172-4178. doi: 10.13801/j.cnki.fhclxb.20210915.003

基于非协调广义部分混合元的层合板边界效应分析

doi: 10.13801/j.cnki.fhclxb.20210915.003
基金项目: 国家自然科学基金(11502286)
详细信息
    通讯作者:

    卿光辉,博士,教授,硕士生导师,研究方向为复合材料力学  E-mail:qingluke@126.com

  • 中图分类号: O343.8

Analysis of laminates free-edge effect based on noncompatible generalized partial mixed elements

  • 摘要: 就层合板的自由边界效应分析而言,采用位移实体单元获得的结果通常无法保证面外应力满足层间的连续要求,并且表面的面外应力值与实际状态不符,数值结果精确性低。本文基于非协调广义混合变分原理,提出了非协调广义部分混合元,对不同铺层的层合板模型进行了自由边界效应分析。利用非协调广义部分混合元可同时引入位移和应力边界条件、同时求解位移和面外应力的特点,使用较少的计算成本,获得了自由边界处更精确的面外应力结果。实例证明,在网格较稀疏的情况下,非协调广义部分混合元有效地捕捉了面外应力在自由边界附近的高应力梯度特性,同时有关奇异性的精确度明显优于文献的结果。

     

  • 图  1  石墨/环氧树脂简支层合板应力沿厚度方向的分布

    Figure  1.  Distribution of stress through the thickness of graphite/epoxy resin simply supported laminate

    图  2  石墨/环氧树脂层合板模型及坐标系

    Figure  2.  Model of graphite/epoxy resin laminate and coordinate system

    L, b, h—Length, width and thickness of laminate

    图  3  边缘细网格的石墨/环氧树脂复合材料层合板模型

    Figure  3.  Graphite/epoxy resin laminate model with edge subdivision mesh

    图  4  [45°/−45°]s石墨/环氧树脂层合板的面外应力$ {\sigma _{{\text{13}}}} $

    Figure  4.  Out-plane stress $ {\sigma _{{\text{13}}}} $ of [45°/−45°]s graphite/epoxy resin laminate

    图  6  [90°/0°]s石墨/环氧树脂层合板的面外应力$ {\sigma _{{\text{33}}}} $

    Figure  6.  Out-plane stress $ {\sigma _{{\text{33}}}} $ of [90°/0°]s graphite/epoxy resin laminate

    图  5  [0°/90°]s石墨/环氧树脂层合板的面外应力$ {\sigma _{{\text{33}}}} $

    Figure  5.  Out-plane stress $ {\sigma _{{\text{33}}}} $ of [0°/90°]s graphite/epoxy resin laminate

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出版历程
  • 收稿日期:  2021-07-21
  • 修回日期:  2021-09-08
  • 录用日期:  2021-09-09
  • 网络出版日期:  2021-09-16
  • 刊出日期:  2022-08-31

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