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

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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.

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Authors and Affiliations

  1. Department of Mechanics and Civil Engineering, Jinan University, Guangzhou, 510632, P. R. China

    Jiang-hong Xue  (薛江红), Qing-zi Luo  (罗庆姿) & Ren-huai Liu  (刘人怀)

  2. Key Lab of Disaster Forecast and Control in Engineering, Ministry of Education, Guangzhou, 510632, P. R. China

    Jiang-hong Xue  (薛江红), Qing-zi Luo  (罗庆姿) & Ren-huai Liu  (刘人怀)

  3. State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing, 100081, P. R. China

    Feng Han  (韩峰)

Authors
  1. Jiang-hong Xue  (薛江红)
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  2. Qing-zi Luo  (罗庆姿)
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  3. Feng Han  (韩峰)
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  4. Ren-huai Liu  (刘人怀)
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Additional information

Project supported by the National Natural Science Foundation of China (Nos. 11172113, 11032005, and 11072037)

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Xue, Jh., Luo, Qz., Han, F. et al. Two-dimensional analyses of delamination buckling of symmetrically cross-ply rectangular laminates. Appl. Math. Mech.-Engl. Ed. 34, 597–612 (2013). https://doi.org/10.1007/s10483-013-1694-7

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  • DOI: https://doi.org/10.1007/s10483-013-1694-7

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Chinese Library Classification

2010 Mathematics Subject Classification

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