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Buckling and post-buckling of anisotropic flat panels subjected to axial and shear in-plane loadings accounting for classical and refined structural and nonlinear theories
International Journal of Non-Linear Mechanics ( IF 3.2 ) Pub Date : 2021-03-26 , DOI: 10.1016/j.ijnonlinmec.2021.103716
E. Carrera , R. Azzara , E. Daneshkhah , A. Pagani , B. Wu

This article investigates the large deflection and post-buckling of composite plates by employing the Carrera Unified Formulation (CUF). As a consequence, the geometrically nonlinear governing equations and the relevant incremental equations are derived in terms of fundamental nuclei, which are invariant of the theory approximation order. By using the Lagrange expansion functions across the laminate thickness and the classical finite element (FE) approximation, layerwise (LW) refined plate models are implemented. The Newton–Raphson linearization scheme with the path-following method based on the arc-length constraint is employed to solve geometrically nonlinear composite plate problems. In this study, different composite plates subjected to large deflections/rotations and post-buckling are analysed, and the corresponding equilibrium curves are compared with the results in the available literature or the traditional FEM-based solutions. The effects of various parameters, such as stacking sequence, number of layers, loading conditions, and edge conditions are demonstrated. The accuracy and reliability of the proposed method for solving the composite plates’ geometrically nonlinear problems are verified.



中文翻译:

各向异性平板在轴向和剪切平面载荷下的屈曲和后屈曲,这是经典,精细的结构和非线性理论的结果

本文研究了采用Carrera统一配方(CUF)的复合板的大挠度和后屈曲。结果,根据基本核,推导了几何上非线性的控制方程和相关的增量方程,这是理论逼近阶的不变。通过在整个层压板厚度上使用Lagrange展开函数和经典的有限元(FE)近似,可以实现逐层(LW)精制板模型。采用基于弧长约束的路径跟随方法的牛顿-拉夫森线性化方案来解决几何非线性复合板问题。在这项研究中,分析了承受大挠度/旋转和后屈曲的不同复合材料板,并将相应的平衡曲线与现有文献或传统基于FEM的解决方案中的结果进行比较。演示了各种参数的影响,例如堆叠顺序,层数,加载条件和边缘条件。验证了所提方法解决复合板几何非线性问题的准确性和可靠性。

更新日期:2021-04-01
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