Applied Mathematics and Mechanics

, Volume 34, Issue 5, pp 597–612

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

• Jiang-hong Xue (薛江红)
• Qing-zi Luo (罗庆姿)
• Feng Han (韩峰)
• Ren-huai Liu (刘人怀)
Article

## 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

two-dimensional analysis rectangular laminate delamination buckling laminate theory

O322

74K20

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© Shanghai University and Springer-Verlag Berlin Heidelberg 2013

## Authors and Affiliations

• Jiang-hong Xue (薛江红)
• 1
• 2
• Qing-zi Luo (罗庆姿)
• 1
• 2
• Feng Han (韩峰)
• 3
• Ren-huai Liu (刘人怀)
• 1
• 2
1. 1.Department of Mechanics and Civil EngineeringJinan UniversityGuangzhouP. R. China
2. 2.Key Lab of Disaster Forecast and Control in EngineeringMinistry of EducationGuangzhouP. R. China
3. 3.State Key Laboratory of Explosion Science and TechnologyBeijing Institute of TechnologyBeijingP. R. China