In the present study, a recently developed non-polynomial zigzag theory by the authors is assessed for the buckling analysis of the laminated composite and sandwich plates. This theory assumes a nonlinear distribution for the transverse shear stresses. The model satisfies the transverse shear stress free boundary conditions at top and bottom surfaces of the laminate obviating the need for a shear correction factor. An efficient C0 continuous isoparametric serendipity element is employed for the discretization of plate structure for the assessment of buckling responses. The Gauss quadrature rule with reduced integration scheme for thin laminate and full integration rule for thick laminate are implemented in the analysis. Some representative results are obtained on buckling analysis covering different features of laminated composite and sandwich structures such as modular ratios, aspect ratios, loading conditions, boundary conditions and span to thickness ratios. The evaluated results are compared with results available in the literature to ensure the efficacy of the present theory. The excellent agreement of the evaluated results with the three-dimensional elasticity results concludes that the presented models are not only accurate but also efficient.

在本研究中，作者评估了最近开发的非多项式曲折理论，用于层合复合材料和夹心板的屈曲分析。该理论假设横向剪应力为非线性分布。该模型满足了层压板顶面和底面的横向剪切应力自由边界条件，从而消除了对剪切校正因子的需求。有效的C0连续等参偶发性元素用于板结构的离散化，以评估屈曲响应。分析中采用了具有简化积分方案的高斯正交法则，适用于薄层压板，而完整积分法则适用于厚层压板。通过屈曲分析获得了一些有代表性的结果，这些结果涵盖了层状复合材料和夹心结构的不同特征，例如模数比，纵横比，加载条件，边界条件以及跨度与厚度比。将评估结果与文献中提供的结果进行比较，以确保本理论的有效性。评估结果与三维弹性结果的极佳一致性表明，所提出的模型不仅准确而且有效。