The influence of two different types of nonlinear strain-displacement kinematics (Green–Lagrange and von Kármán) and their importance are investigated in this analysis by computing the static deflection and stress (normal and shear) values of cutout abided composite structures. The structural deformation behavior under the external loading conditions is derived with a higher-order polynomial without hampering the strain and stress (in-plane and out-of-plane) continuity. The mathematical formulation of the curved structure is derived, and the governing equation order is reduced using nonlinear finite element steps. A generic computer code is prepared using the derived mathematical formulation in conjunction with the isoparametric finite element technique in a MATLAB environment. The final output (that is, the nonlinear deflection and stress data) is predicted using a robust nonlinear solution method (Picard’s iteration). The suitability of full-scale geometrical nonlinearity (Green–Lagrange strain) in the framework of a higher-order displacement field model for the laminated structure is established by comparing the experimental deflection data and published analytical solutions. Furthermore, a series of numerical examples is solved to show the influences of different individual and/or the combined parametric influences on the structural deflections and the normal/shear stress (in-plane and out-of-plane) values, including the variable geometrical shapes.

在此分析中，通过计算切口固定复合结构的静态挠度和应力（法向和剪切）值，研究了两种不同类型的非线性应变-位移运动学（格林-拉格朗日和冯卡门）的影响及其重要性。外部加载条件下的结构变形行为是通过高阶多项式导出的，而不会妨碍应变和应力（面内和面外）的连续性。导出了弯曲结构的数学公式，并使用非线性有限元步骤降低了控制方程的阶数。通用计算机代码是在 MATLAB 环境中使用导出的数学公式结合等参有限元技术来准备的。最终输出（即 非线性挠度和应力数据）使用稳健的非线性求解方法（Picard 迭代）进行预测。通过比较实验挠度数据和已发表的解析解，确定了在层状结构的高阶位移场模型框架中全尺寸几何非线性（格林-拉格朗日应变）的适用性。此外，解决了一系列数值例子，以显示不同的单独和/或组合参数对结构挠度和法向/剪切应力（平面内和平面外）值的影响，包括可变几何形状。通过比较实验挠度数据和已发表的解析解，确定了在层状结构的高阶位移场模型框架中全尺寸几何非线性（格林-拉格朗日应变）的适用性。此外，解决了一系列数值例子，以显示不同的单独和/或组合参数对结构挠度和法向/剪切应力（平面内和平面外）值的影响，包括可变几何形状。通过比较实验挠度数据和已发表的解析解，确定了在层状结构的高阶位移场模型框架中全尺寸几何非线性（格林-拉格朗日应变）的适用性。此外，解决了一系列数值例子，以显示不同的单独和/或组合参数对结构挠度和法向/剪切应力（平面内和平面外）值的影响，包括可变几何形状。