留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

中厚度复合材料夹芯层板变分渐近精细模型

钟轶峰 刘森林 陈约瑟 黄博杰 周小平

钟轶峰, 刘森林, 陈约瑟, 黄博杰, 周小平. 中厚度复合材料夹芯层板变分渐近精细模型[J]. 应用数学和力学, 2013, 34(7): 687-696. doi: 10.3879/j.issn.1000-0887.2013.07.003
引用本文: 钟轶峰, 刘森林, 陈约瑟, 黄博杰, 周小平. 中厚度复合材料夹芯层板变分渐近精细模型[J]. 应用数学和力学, 2013, 34(7): 687-696. doi: 10.3879/j.issn.1000-0887.2013.07.003
ZHONG Yi-feng, LIU Senlin, CHEN Yue-se, HUANG Bo-jie, ZHOU Xiao-ping. Refined Model for Composite Sandwich Laminates of Moderate Thickness Based on the Variational Asymptotic Method[J]. Applied Mathematics and Mechanics, 2013, 34(7): 687-696. doi: 10.3879/j.issn.1000-0887.2013.07.003
Citation: ZHONG Yi-feng, LIU Senlin, CHEN Yue-se, HUANG Bo-jie, ZHOU Xiao-ping. Refined Model for Composite Sandwich Laminates of Moderate Thickness Based on the Variational Asymptotic Method[J]. Applied Mathematics and Mechanics, 2013, 34(7): 687-696. doi: 10.3879/j.issn.1000-0887.2013.07.003

中厚度复合材料夹芯层板变分渐近精细模型

doi: 10.3879/j.issn.1000-0887.2013.07.003
基金项目: 国家自然科学基金资助项目(11272363; 51279218);中央高校基本科研业务费资助项目(CDJZR12200062);中国博士后基金特别资助项目(2012T50766)
详细信息
    作者简介:

    钟轶峰(1975—),男,重庆人,副教授,博士,硕士生导师(通讯作者.Tel:+86-23-65123292; E-mail: zhongjy58@sina.com)

  • 中图分类号: TU311; TB301.2;O346.1

Refined Model for Composite Sandwich Laminates of Moderate Thickness Based on the Variational Asymptotic Method

  • 摘要: 为准确预测对中厚度复合材料夹芯层板分层开裂至关重要的沿厚向应力/应变分布,利用板固有小参数将原三维板分析严格拆分为沿厚向的一维分析和二维板非线性分析,并将原三维能量渐近扩展为系列二维近似能量泛函;通过对近似能量泛函中主导变分项(含翘曲项)的渐近修正,得到与原三维模型尽可能接近的近似能量,从而构建无需任何场变量假设的精细模型,并转换为工程常用的Reissner模型形式.通过4层复合材料夹芯板柱形弯曲算例表明:基于所构建模型重构的三维场精度较一阶剪切变形理论和经典层合理论更好,与精确解基本一致;由于所构建的变分渐近模型为等效单层板模型,在保证足够精度的前提下,相比三维有限元计算可减少2~3阶计算量,在精确性和有效性间取得较好的折衷.
  • [1] 王跃全, 童明波, 朱书华. 三维复合材料层合板渐进损伤非线性分析模型[J].复合材料学报, 2009, 26(5):160-168. (WANG Yue-quan, TONG Ming-bo, ZHU Shu-hua. 3D nonlinear progressive damage analysis model for composite laminates[J].Acta Materiae Compositae Sinica,2009, 26(5): 160-168.(in Chinese))
    [2] Apalak Z G, Apalak M K, Genc M S. Progressive damage modeling an adhesively bonded unidirectional composite singlelap joint in tension at the mesoscale level[J].Journal of Thermoplastic Composite Materials,2006, 19(6):671-702.
    [3] Whitney J M, Ashton J E. Effect of environment on the elastic response of layered composite plates[J].AIAA Journal,1971, 32(9):1708-1713.
    [4] Ram K S, Sinha P K. Hygrothermal effects on the buckling of laminated composite plates[J].Composite Structure,1992, 21(7):233-247.
    [5] Reddy J N. A higher-order plate element for accurate prediction of interlaminar stresses in laminated composite plates[J].Composite Structures Journal,2009, 91(3): 337-357.
    [6] Reddy J N, Savoia M. Layerwise shell theory for postbuckling of laminated cylindrical shells[J].AIAA Journal,1992, 30(6):2148-2154.
    [7] Cho Y B,Averil R C. First-order zig-zag sublaminate plate theory and finite element model for laminated composite and sandwich panels[J].Composite Structures,2000, 50(5):1-15.
    [8] Carrera E. A Reissner’s mixed variational theorem applied to vibration analysis of multilayered shell[J].Journal of Applied MechanicsTransactions of the ASME,1999, 64(1): 69-78.
    [9] Chen W Q,Lee K Y. Three-dimensional exact analysis of angle-ply laminates in cylindrical bending with interfacial damage via statespace method[J]. Composite Structure,2004, 64(2):275-283.
    [10] Li X Y, Liu D. Generalized laminate theories based on double superposition hypothesis[J].International Journal for Numerical Methods in Engineering,1997, 40(6): 1197-1212.
    [11] Lee Changyong, Hodges D H. Dynamic variational asymptotic procedure for laminated composite shells—I: low-frequency vibration analysis[J].Journal of Applied Mechanics,2009, 76(1):1-7.
    [12] BarYoseph P, Avrashi J. New variationalasymptotic formulations for interlaminar stress analysis in laminated plates[J].Journal of Applied Mathematics and Physics,1986, 37(3): 305-321.
    [13] Pagano N J. Influence of shear coupling in cylindrical bending of anisotropic lamiates[J].Journal of Composite Materials,1970, 4(2):330-343.
  • 加载中
计量
  • 文章访问数:  1116
  • HTML全文浏览量:  54
  • PDF下载量:  965
  • 被引次数: 0
出版历程
  • 收稿日期:  2013-03-01
  • 修回日期:  2013-05-29
  • 刊出日期:  2013-07-15

目录

    /

    返回文章
    返回