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S-shaped mode in the lower and upper bounds of the buckling of composite beams with two equal delaminations

机译：具有两个相等分层的复合梁屈曲的上下边界为S形模

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摘要

In this paper, lower and upper bounds of the buckling load of a composite beam with two equal delaminations are obtained by developing analytical models. The characteristic equations governing the delamination buckling are derived by using Euler-Bernoulli beam theory, performing proper linearization and by imposing the appropriate continuity and boundary conditions. The effects of the differential stretching and the bending-extension coupling are considered. The accuracy of the models is verified by comparing results with previously published data and a separately carried out finite element analysis. The effects of the dimensions and locations of the two equal delaminations on the lower and upper bounds of the buckling load are investigated in detail. The lower and upper bounds of the buckling load strongly depend on the sizes and locations of the two equal delaminations. For certain lengths and thicknesswise locations of the two equal delaminations, S-shaped buckling mode strongly influences the buckling behavior for both the upper and lower bounds of the buckling load. The lower and upper bounds of the buckling load will be useful to gauge the working range of the bridging and give guidelines for practical applications.
机译：通过建立解析模型，可以得到具有两个相等分层的复合梁的屈曲载荷的上限和下限。通过使用Euler-Bernoulli梁理论，执行适当的线性化并施加适当的连续性和边界条件，可以得出控制分层屈曲的特征方程。考虑了差异拉伸和弯曲-拉伸耦合的影响。通过将结果与先前发布的数据进行比较并单独进行有限元分析，可以验证模型的准确性。详细研究了两个相等的分层的尺寸和位置对屈曲载荷的上下限的影响。屈曲载荷的上下边界在很大程度上取决于两个相等分层的大小和位置。对于两个相等的分层的某些长度和厚度方向的位置，S形屈曲模式会强烈影响屈曲载荷的上下边界的屈曲行为。屈曲载荷的上限和下限将有助于评估桥接的工作范围，并为实际应用提供指导。

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