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

doi:10.7527/S1000-6893.2022.26614

固体力学与飞行器总体设计

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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

万傲霜, 王振名, 李顶河

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

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)

摘要/Abstract

摘要： 提出了基于三阶剪切计算连续性（TOS-C²）方法的编织复合材料板三尺度分析模型，包括宏观尺度模型、由纤维束和基体构成的介观尺度计算胞元（CUC）、由单丝纤维和基体构成的微观尺度CUC。采用基于三阶剪切变形理论（TSDT）的八节点四边形板单元对宏观问题进行离散，考虑了剪切变形和沿厚度方向非线性剪切应变变化引起的转动惯量。将计算连续性（C²）方法与基于TSDT的有限元方程相结合，推导了三尺度问题的控制方程。利用含夹杂三维立方体的数值算例，验证了提出的三尺度TOS-C²方法的有效性，TOS-C²模型的位移和应力计算结果与直接数值模拟（DNS）模型吻合良好。采用TOS-C²方法对平面编织复合材料板进行三尺度分析，获得了详细准确的三尺度位移场和应力场。

关键词: 编织复合材料板, 三尺度, 计算连续性(C²), 三阶剪切变形理论(TSDT), 有限元方法

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.

Key words: woven composite plates, three-scale, Computational Continua (C²), Third-Order Shear Deformation Theory (TSDT), finite element method

中图分类号:

V215.2
O342

万傲霜, 王振名, 李顶河. 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[J]. 航空学报, 2022, 43(12): 226614-226614.

WAN Aoshuang, WANG Zhenming, LI Dinghe. Three-scale analysis of woven composite plates based on third-order shear computational continua method[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2022, 43(12): 226614-226614.

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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

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

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