Applied Mathematics and Mechanics (English Edition) ›› 2013, Vol. 34 ›› Issue (5): 597-612.doi: https://doi.org/10.1007/s10483-013-1694-7

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Two-dimensional analyses of delamination buckling of symmetrically cross-ply rectangular laminates

薛江红1,2 罗庆姿1,2 韩峰3 刘人怀1,2   

  1. 1. Department of Mechanics and Civil Engineering, Jinan University, Guangzhou 510632, P. R. China;
    2. Key Lab of Disaster Forecast and Control in Engineering, Ministry of Education, Guangzhou 510632, P. R. China;
    3. Beijing Institute of Technology, State Key Laboratory of Explosion Science and Technology, Beijing 100081, P. R. China
  • 出版日期:2013-05-03 发布日期:2013-05-03
  • 通讯作者: Jiang-hong XUE E-mail:txuej@jnu.edu.cn

Two-dimensional analyses of delamination buckling of symmetrically cross-ply rectangular laminates

Jiang-hong XUE1,2, Qing-zi LUO1,2, Feng HAN3, Ren-huai LIU1,2   

  1. 1. Department of Mechanics and Civil Engineering, Jinan University, Guangzhou 510632, P. R. China;
    2. Key Lab of Disaster Forecast and Control in Engineering, Ministry of Education, Guangzhou 510632, P. R. China;
    3. Beijing Institute of Technology, State Key Laboratory of Explosion Science and Technology, Beijing 100081, P. R. China
  • Online:2013-05-03 Published:2013-05-03
  • Contact: Jiang-hong XUE E-mail:txuej@jnu.edu.cn

摘要: The conventional approach to analysis the buckling of rectangular laminates containing an embedded delamination subjected to the in-plane loading is to simplify the laminate as a beam-plate from which the predicted buckling load decreases as the length of the laminate increases. Two-dimensional analyses are employed in this paper by extending the one-dimensional model to take into consideration of the influence of the
delamination width on the buckling performance of the laminates. The laminate is simply supported containing a through width delamination. A new parameter β defined as the ratio of delamination length to delamination width is introduced with an emphasis on the influence of the delamination size. It is found that (i) when the ratio β is greater than one snap-through buckling prevails, the buckling load is determined by the delamination size
and depth only; (ii) as the ratio β continues to increase, the buckling load will approach to a constant value. Solutions are verified with the well established results and are found in good agreement with the latter.

关键词: two-dimensional analysis, buckling, rectangular laminate, laminate theory, delamination

Abstract: The conventional approach to analysis the buckling of rectangular laminates containing an embedded delamination subjected to the in-plane loading is to simplify the laminate as a beam-plate from which the predicted buckling load decreases as the length of the laminate increases. Two-dimensional analyses are employed in this paper by extending the one-dimensional model to take into consideration of the influence of the
delamination width on the buckling performance of the laminates. The laminate is simply supported containing a through width delamination. A new parameter β defined as the ratio of delamination length to delamination width is introduced with an emphasis on the influence of the delamination size. It is found that (i) when the ratio β is greater than one snap-through buckling prevails, the buckling load is determined by the delamination size
and depth only; (ii) as the ratio β continues to increase, the buckling load will approach to a constant value. Solutions are verified with the well established results and are found in good agreement with the latter.

Key words: gradient-dependent, plasticity, nonlocal, damage, laminate theory, rectangular laminate, delamination, two-dimensional analysis, constitutive model, buckling

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