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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http://www.cjmenet.com.cn/EN/Y2024/V60/I8/186

References

[1] ALVES M P，JUNIOR C A C，HA S K. Fiber waviness and its effect on the mechanical performance of fiber reinforced polymer composites：An enhanced review[J]. Composites Part A：Applied Science and Manufacturing，2021，149：106526.
[2] 刘登俊，关庆丰，王志平，等. 电热处理对湿热环境作用下碳纤维环氧复合材料的损伤机制[J]. 机械工程学报，2017，53(18)：64-70. LIU Dengjun，GUAN Qingfeng，WANG Zhiping，et al. Damage mechanism of electrothermal treatment on carbon fiber epoxy composites under humid and hot environment [J]. Journal of Mechanical Engineering，2017，53(18)：64-70.
[3] 谭华，晏石林. 热固性树脂基复合材料固化过程的三维数值模拟[J]. 复合材料学报，2004，21(6)：167-172. TAN Hua，YAN Shilin. Three-dimensional simulation of curing process for thermoset composites[J]. Acta Materiae Compositae Sinica，2004，21(6)：167-172.
[4] CREIGHTON C J，SUTCLIFFE M P F，CLYNE T W. A multiple field image analysis procedure for characterisation of fibre alignment in composites[J]. Composites Part A Applied Science & Manufacturing，2001，32(2)：221-229.
[5] CHRISTIAN W J R，DIAZDELAO F A，ATHERTON K，et al. An experimental study on the manufacture and characterization of in-plane fibre-waviness defects in composites[J]. Royal Society Open Science，2018，5(5)：180082.
[6] MELRO A R，CAMANHO P P，PINHO S T. Generation of random distribution of fibres in long-fibre reinforced composites[J]. Composites Science and Technology，2008，68(9)：2092-2102.
[7] VAUGHAN T J，MCCARTHY C T. Micromechanical modelling of the transverse damage behaviour in fibre reinforced composites[J]. Composites Science and Technology，2011，71(3)：388-396.
[8] FAESSEL M，DELISEE C，BOS F，et al. 3D Modelling of random cellulosic fibrous networks based on X-ray tomography and image analysis[J]. Composites Science and Technology，2005，65(13)：1931-1940.
[9] RECCHIA S，ZHENG J，PELEGRI A A. Fiberwalk：A random walk approach to fiber representative volume element creation[J]. Acta Mechanica，2014，225(4-5)：1301-1312.
[10] FUKUI K，NONAMI R. Simultaneous optimization of carbon fiber allocation and orientation by IFM-GA[J]. Chinese Journal of Mechanical Engineering：Additive Manufacturing Frontiers，2023，2(2)：100078.
[11] 朱晓鹏，陈磊，黄俊. 复合材料周期结构数学均匀化方法的一种新型单胞边界条件[J]. 计算力学学报，2021，38(3)：401-410. ZHU Xiaopeng，CHEN Lei，HUANG Jun. A new unit cell boundary condition for mathematical homogenization method of composite periodic structure[J]. Journal of Computational Mechanics，2021，38(3)：401-410.
[12] CATALANOTTI G，SEBAEY T A. An algorithm for the generation of three-dimensional statistically representative volume elements of unidirectional fibre-reinforced plastics：Focusing on the fibres waviness[J]. Composite Structures，2019，227：111272.
[13] SEBAEY T A，CATALANOTTI G，O'DOWD N P. A microscale integrated approach to measure and model fibre misalignment in fibre-reinforced composites[J]. Composites Science and Technology，2019，183：107793.
[14] ALTENDORF H，JEULIN D. Random-walk-based stochastic modeling of three-dimensional fiber systems[J]. Physical Review E Statistical Nonlinear & Soft Matter Physics，2011，83(4)：041804.
[15] Chapelle L，Lévesque M，Brøndsted P，et al. Generation of non-overlapping fiber architecture[C]//20th International Conference on Composite Materials. ICCM20，2015.
[16] CATALANOTTI G. On the generation of RVE-based models of composites reinforced with long fibres or spherical particles[J]. Composite Structures，2016，138：84-95.
[17] VARANDAS L F，CATALANOTTI G，MELRO A R，et al. Micromechanical modelling of the longitudinal compressive and tensile failure of unidirectional composites：The effect of fibre misalignment introduced via a stochastic process[J]. International Journal of Solids and Structures，2020，203：157-176.
[18] MATTSON W，RICE B M. Near-neighbor calculations using a modified cell-linked list method[J]. Computer Physics Communications，1999，119(2-3)：135-148.
[19] KASHTALYAN M. Finite element analysis of composite materials using Abaqus™[J]. Aeronautical Journal，2014，118(1199)：98-99.
[20] 郭慧，黄玉东，刘丽，等. T300和国产碳纤维本体的力学性能对比及其分析[J]. 宇航学报，2009(5)：2068-2072. GUO Hui，HUANG Yudong，LIU Li，et al. Comparison and analysis of mechanical properties between T300 and domestic carbon fiber body [J]. Journal of Astronautics，2009(5)：2068-2072.
[21] Hui X，XU Y，Zhang W. An integrated modeling of the curing process and transverse tensile damage of unidirectional CFRP composites[J]. Composite Structures，2021，263(5)：113681.
[22] TRIANTAFYLLIDIS N，BARDENHAGEN S. The influence of scale size on the stability of periodic solids and the role of associated higher order gradient continuum models[J]. Journal of the Mechanics & Physics of Solids，1996，44(11)：1891-1928.
[23] KANIT T，FOREST S，GALLIET I，et al. Determination of the size of the representative volume element for random composites：Statistical and numerical approach[J]. International Journal of Solids & Structures，2003，40(13-14)：3647-3679.