### 基于三阶剪切计算连续性方法的编织复合材料板三尺度分析模型

1. 中国民航大学 航空工程学院, 天津 300300
• 收稿日期:2021-11-03 修回日期:2021-12-08 发布日期:2022-01-26
• 通讯作者: 李顶河,E-mail:lidinghe@163.com E-mail:lidinghe@163.com
• 基金资助:
国家自然科学基金（12072364）

### Three-scale analysis of woven composite plates based on third-order shear computational continua method

WAN Aoshuang, WANG Zhenming, LI Dinghe

1. College of Aeronautical Engineering, Civil Aviation University of China, Tianjin 300300, China
• Received:2021-11-03 Revised:2021-12-08 Published:2022-01-26
• Supported by:
National Natural Science Foundation of China (12072364)

Abstract: A Third-Order Shear Computational Continua (TOS-C2) method was proposed for three-scale analysis of woven composite plates, which involves the macroscale model, mesoscale Computational Unit Cell (CUC) composed of yarns and matrix, and microscale CUC composed of fiber and matrix. The eight-node isoparametric plate element based on the Third-Order Shear Deformation Theory (TSDT) was used to discretize the macroscale problem, considering the influence of shear deformation and the moment of inertia caused by nonlinear shear strain variation along the thickness. Integrating the Computational Continua (C2) method with the finite element formulations based on the TSDT, the governing equations for three-scale problems were derived. The proposed three-scale TOS-C2 method was verified by numerical examples of three-dimensional cube with quasi-isotropic inclusions. The calculated displacement and stress results of TOS-C2 model show good agreement with those of Direct Numerical Simulation (DNS) model. Furthermore, the TOS-C2 method was used for three-scale analysis of plain-woven composite plate, demonstrating its validity in detailed and accurate description of displacement and stress fields at three scales.