A Algorithm to Generate Representative Volume Elements for Unidirectional Composites Considering Fiber Misalignment

doi:10.3901/JME.2024.08.186

Abstract

Abstract: A generation algorithm of periodic high fidelity representative volume element (RVE) model of unidirectional fiber-reinforced polymer (UD-FRP) is introduced. Firstly, based on the random walk algorithm, the fiber morphology is characterized as the Bézier curve, and the tangent direction at each control point is adjusted to follow the multivariable Von-MISES FISCHER function to generate a preliminary soft-core fiber network. Then based on the force-biased algorithm, the corresponding hard-core model is created by adjusting the overlap between fibers to ensure that the fibers in RVE do not twist excessively. In the adjustment process, a three-dimensional near-neighbor list is introduced to significantly improve the algorithm's speed. Finally, the RVE containing fiber waviness is preliminarily calculated for transverse shear, so as to reveal the research value and application field of this method. The results show that the RVE of the required size and fiber waviness can be generated effectively and quickly by this method, the transverse shear strength of UD-FRP can be affected by the fiber configuration with waviness characteristics. The transverse shear strength of UD-FRP increases with the increase of fiber waviness.

Key words: unidirectional fiber reinforced composites, fiber misalignment, the random walk based stochastic modeling, periodic boundary conditions, near-neighbor list algorithm, the force-biased algorithm, transverse shear

CLC Number:

TG156

XIE Chenyang, HUANG Jiao, XIAO Guangming, ZHANG Xianjie, WANG Junbiao, LI Yujun. A Algorithm to Generate Representative Volume Elements for Unidirectional Composites Considering Fiber Misalignment[J]. Journal of Mechanical Engineering, 2024, 60(8): 186-195.

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