A novel finite element model for geometrically nonlinear analysis of laminated composite plates is proposed in this paper. It is based on a seven-variables higher-order shear deformation theory that only requires a C⁰-type continuity. The finite element method with mixed interpolation of tensorial components approach (MITC) is considered in which an MITC3 three-node triangle element with seven degree-of-freedoms per nodes, cell- and edge-based strain smoothing techniques is developed. The geometrical nonlinearity of the plates involving by von Karman strain is formed in the total Lagrange approach based on the small strain assumptions. Numerical examples of cross-ply laminated composite plates are provided to investigate the validation of the proposed method.

中文翻译：

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使用基于单元和边缘的平滑 MITC3 有限元对层压复合板进行几何非线性分析

本文提出了一种新的层合复合板几何非线性分析有限元模型。^{它基于只需要C 0}型连续性的七变量高阶剪切变形理论。考虑了张量分量混合插值法 (MITC) 的有限元方法，其中开发了 MITC3 三节点三角形单元，每个节点具有七个自由度，基于单元和边缘的应变平滑技术。由 von Karman 应变引起的板的几何非线性是在基于小应变假设的总拉格朗日方法中形成的。提供了交叉层层压复合板的数值示例，以研究所提出方法的验证。