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Mesh Convergence Study for the Mesoscopic Analysis of a Triaxial Braided Carbon Fiber Reinforced Polymer Under Uniaxial and Shear Loading States

机译:单轴和剪切载荷下三轴编织碳纤维增强聚合物细观分析的网格收敛研究

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In this study, the mechanical behavior and convergence of a finite element model of a carbon-fiber reinforced polymer (CFRP) composite with different mesh sizes are analyzed. A representative volume element (RVE) of a single-ply triaxially braided carbon fiber-epoxy composite is developed for this study. The model is subsequently meshed with periodic boundary conditions using the voxel meshing method. Numerical simulations of these models subject to uniaxial tension and shear are conducted using a commercial finite element (FE) code, Abaqus, to determine the in-plane mechanical properties of the polymer composite. To examine the corresponding convergence behavior, various mesh sizes are employed in RVE models generated. The models are compared based on their computational efficiency at a converged mesh size. It was determined that a medium sized domain length with an element length of approximately 0.1 mm is adequate to reach a converged solution with the shortest simulation time. The work provides a systematic mesh convergence examination of a popular meshing technique used in finite element analysis, which elucidates the optimal method to analyze this quasi-isotropic material in a streamlined fashion and paves an understanding of the advantages and limitations of this modeling approach. This analysis can be extended in future studies as a larger mesh convergence study that compares meshes with different geometric elements, such as 10-node tetrahedral element. The results of this study can also be used to simulate a larger continuum-sized composite material, in which computational efficiency is crucial.
机译:本研究分析了不同网格尺寸的碳纤维增强聚合物(CFRP)复合材料有限元模型的力学行为和收敛性。本研究开发了单层三轴编织碳纤维-环氧复合材料的代表性体积单元(RVE)。随后,使用体素网格划分方法,使用周期性边界条件对模型进行网格划分。使用商业有限元(FE)程序Abaqus对这些模型进行了单轴拉伸和剪切的数值模拟,以确定聚合物复合材料的面内力学性能。为了检验相应的收敛行为,在生成的RVE模型中采用了不同的网格尺寸。根据收敛网格大小下的计算效率对模型进行了比较。据确定,单元长度约为0.1 mm的中等尺寸区域长度足以以最短的模拟时间达到收敛解。这项工作对有限元分析中常用的网格划分技术进行了系统的网格收敛性检查,阐明了以流线型方式分析这种准各向同性材料的最佳方法,并为理解这种建模方法的优点和局限性奠定了基础。这种分析可以在未来的研究中扩展为更大的网格收敛研究,比较不同几何元素的网格,例如10节点四面体单元。本研究的结果也可用于模拟更大尺寸的连续介质复合材料,其中计算效率至关重要。

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