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首页> 外文期刊>Composite Structures >Analytical layerwise stress and deformation analysis of laminated composite plates with arbitrary shapes of interfacial imperfections and discontinuous lateral deflections
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Analytical layerwise stress and deformation analysis of laminated composite plates with arbitrary shapes of interfacial imperfections and discontinuous lateral deflections

机译：任意形状的界面缺陷和不连续横向变形的层合复合板的层状应力分析和变形分析

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摘要

In the present article, a double power series analytical layerwise model is proposed for analysis of multilayer orthotropic plates with arbitrary shapes of interfacial bond defects. In contrast to the previous models, the discontinuity in the lateral deflections of the successive layers is also considered. The adhesive bonding layers are modeled by elastic elements with normal and shear stiffness coefficients; so that, the continuity conditions of the transverse shear and normal stresses are may at the layer interfaces. It is the first time that an analytical solution rather than the data-dependent finite element method is proposed for stress and displacement analysis of multilayer rectangular plates with arbitrary shapes of interfacial bond damages, including the discontinuity in the transverse displacements of the successive layers. Results of the transverse displacement and stresses are then refined according to the 3D theory of elasticity. Results reveal that even small violations in the bonding between layers, may increase the resulting stresses, lateral deflections, and the differences between lateral deflections of the successive layers to more than twice, thrice, and five times, respectively. Moreover, in contrast to the growth of the in-plane stresses, redistribution of the transverse shear stress is governed by the equilibrium rather than the constitutive-law-based conditions.
机译：在本文中，提出了一种双幂级数分析分层模型，用于分析具有任意形状的界面键缺陷的多层正交各向异性板。与以前的模型相比，还考虑了连续层横向偏转的不连续性。粘合层由具有法向刚度和剪切刚度系数的弹性元件建模；因此，横向剪切和正应力的连续条件可能在层界面处。首次提出了一种分析解决方案，而不是依赖数据的有限元方法，来对具有任意形状的界面粘结损伤的多层矩形板进行应力和位移分析，包括连续层横向位移的不连续性。然后根据3D弹性理论细化横向位移和应力的结果。结果表明，即使在层之间的键合中即使有很小的破坏，也可能使所产生的应力，横向变形以及连续层的横向变形之间的差异分别增加到两倍以上，三次以上和五倍以上。而且，与面内应力的增长相反，横向剪切应力的重新分布是由平衡而不是基于本构律的条件控制的。

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