不同纱线张力下的三维正交织物微观几何结构建模

复合材料科学与工程 ›› 2021, Vol. 0 ›› Issue (1): 19-27.

不同纱线张力下的三维正交织物微观几何结构建模

刘岳岩¹, 马莹^1,2,3*, 禄盛^1,2, 邓聪颖¹, 陈翔¹, 赵洋¹

1.重庆邮电大学先进制造工程学院,重庆400065;
2.西安交通大学机械结构强度与振动国家重点实验室,西安710049;
3.堪萨斯州立大学复合材料实验室,曼哈顿堪萨斯66506

收稿日期:2020-03-20 出版日期:2021-01-28 发布日期:2021-01-25
通讯作者: 马莹(1985-),女,讲师,硕士生导师,主要从事复合材料力学性能分析方面的研究,maying@cqupt.edu.cn。
作者简介:刘岳岩(1995-),男,硕士研究生,主要研究方向为三维机织物建模及力学性能分析。
基金资助:
重庆市教委科学技术研究计划项目(KJQN201900632);重庆市留学人员回国创业创新项目(cx2018126)

MICRO-GEOMETRY OF 3D ORTHOGONAL WOVEN FABRIC MODELING UNDER DIFFERENT YARN TENSION

LIU Yue-yan¹, MA Ying^1,2,3*, LU Sheng^1,2, DENG Cong-ying¹, CHEN Xiang¹, ZHAO Yang¹

1. College of Advanced Manufacturing Engineering, Chongqing University of Posts andTelecommunications, Chongqing 400065, China;
2. State Key Laboratory for Strength and Vibration of Mechanical Structures,Xi′an Jiaotong University, Xi′an 710049, China;
3. Kansas State University Composites Laboratory, Kansas State University, Manhattan, KS 66506, USA

Received:2020-03-20 Online:2021-01-28 Published:2021-01-25

摘要/Abstract

摘要： 从织物组织入手,建立纱线截面形状为圆形的三维正交织物拓扑结构。在此基础上,采用数字单元法理论在纱线首尾两端施加周期性边界和恒定张力,并通过纱线纤维化离散方法,将纱线分为既定数量的数字纤维,进而改变其截面形状和空间构型,实现织物织造成型过程的动态仿真。研究结果表明,施加较大的经纬纱张力及较小的接结纱张力,所得数值模型的经纱与纬纱厚度均匀且能保持伸直状态,接结纱截面变化情况与真实正交织物相符。当经纬纱线张力为0.2 N、接结纱张力为0.01 N时,织物数值模型厚度与实验值仅差9.55%,其微观几何结构与织物样本显微图像吻合度较高,验证了数字单元法理论在织物亚纱线尺度建模的有效性。

关键词: 三维正交织物, 亚纱线尺度, 纱线张力, 数字单元法, 周期性边界条件, 复合材料

Abstract: The unit cell topology of the 3d orthogonal weave fabric is established with circular initial yarn cross-section shape based on the weaving pattern. Then, periodic boundary and constant tension are applied at yarn ends using the Digital Element Approach (DEA). Each yarn is discretized into a predetermined number of digital fibers. As a result, the yarn cross-section shape and its spatial configuration is changed through the dynamic weaving process simulation. The results show that due to a relatively large warp and weft tension in comparison to a small weaver tension, the thickness of the warp and weft yarns of the numerical model is uniform and the geometry of which remains to be straightness. The cross-section shape of the weaver is consistent with that of the microscopic image. When the applied tension of warp, weft, and weaver yarns is 0.2 N, 0.2 N, and 0.01 N respectively, the thickness of the numerical model is only 9.55% less than that of the experimental one. The micro-geometry of the numerical model matches perfectly with the microscopic images. The simulation results validated the DEA in determining the micro-geometry of 3d woven fabric at sub-yarn scale.

Key words: 3D orthogonal woven fabric, sub-yarn scale modeling, yarn tension, digital element approach, periodic boundary conditions, composites

中图分类号:

TB332

刘岳岩, 马莹, 禄盛, 邓聪颖, 陈翔, 赵洋. 不同纱线张力下的三维正交织物微观几何结构建模[J]. 复合材料科学与工程, 2021, 0(1): 19-27.

LIU Yue-yan, MA Ying, LU Sheng, DENG Cong-ying, CHEN Xiang, ZHAO Yang. MICRO-GEOMETRY OF 3D ORTHOGONAL WOVEN FABRIC MODELING UNDER DIFFERENT YARN TENSION[J]. COMPOSITES SCIENCE AND ENGINEERING, 2021, 0(1): 19-27.

参考文献

[1] WENDLING A, DANIAL J L, HIVET G, et al. Meshing preprocessor for the mesoscopic 3D finite element simulation of 2D and interlock fabric deformation[J]. Applied Composite Materials, 2015, 22(6): 869-886.
[2] WENDLING A, HIVET G, VIDAL-SALLÉ E, et al. Consistent geometrical modelling of interlock fabrics[J]. Finite Elements in Analysis & Design, 2014, 90(2): 93-105.
[3] SOHAIL A, ZHENG X T, ZAKIR S M, et al. Numerical modeling of 3D woven hybrid composites for stiffness and strength prediction[J]. Procedia Structural Integrity, 2018, 13: 1014-1019.
[4] STIG F, HALLSTRÕM S. Spatial modelling of 3D-woven textiles[J]. Composite Structures, 2012, 94: 1495-1502.
[5] 王旭, 储长流, 倪庆清, 等. 运用MAXScript语言的单层机织物结构三维建模[J]. 纺织学报, 2019, 40(1): 159-165.
[6] LIU Y, SI X N, LIU P, et al. Mesoscopic modeling and simulation of 3D orthogonal woven composites using material point method[J]. Composite Structures, 2018, 203: 435-435.
[7] VERPOEST I, LOMOV S V. Virtual textile composites software WiseTex: integration with micro-mechanical, permeability and structural analysis[J]. Composites Science and Technology, 2005, 65(15/16): 2563-2574.
[8] LOMOV S V, VERPOEST I, CICHOSZ J, et al. Meso-level textile composites simulations: Open data exchange and scripting[J]. Journal of Composite Materials, 2014, 48(5): 621-637.
[9] LOMOV S V. Composite reinforcements for optimum performance[M]. Britain: Woodhead publishing limited, 2011: 200-238.
[10] ROBITAILLE F, CLAYTON B R, LONG A C, et al. Geometric modelling of industrial preforms: Warp-knitted textiles[J]. Proceedings of the Institution of Mechanical Engineers Part L: Journal of Materials Design and Applications, 2000, 214(2): 71-90.
[11] ROBITAILLE F, LONG A C, JONES I A, et al. Automatically generated geometric descriptions of textile and composite unit cells[J]. Composites Part A Applied Science & Manufacturing, 2003, 34(4): 303-312.
[12] LIN H, BRIWN L P, LONG A C. Modelling and simulating textile structures using TexGen[J]. Advanced Materials Research, 2011, 331: 44-47.
[13] WANG Y Q, SUN X K. Digital-element simulation of textile processes[J]. Composites Science & Technology, 2001, 61(2): 311-319.
[14] ZHOU G M, SUN X K, WANG Y Q. Multi-chain digital element analysis in textile mechanics[J]. Composites Science and Technology, 2004, 64(2): 239-244.
[15] MIAO Y Y, ZHOU E, WANG Y Q, et al. Mechanics of textile composites: Micro-geometry[J]. Composites Science and Technology, 2008, 68(7-8): 1671-1678.
[16] HUANG L J, WANG Y Q, MIAO Y Y, et al. Dynamic relaxation approach with periodic boundary conditions in determining the 3-D woven textile micro-geometry[J]. Composite Structures, 2013, 106(12): 417-425.
[17] GREEN S D, LONG A C, EL SAID B, et al. Numerical modelling of 3D woven preform deformations[J]. Composite Structures, 2014, 108: 747-756.
[18] GREEN S D, MATVEEV M Y, LONG A C, et al. Mechanical modelling of 3D woven composites considering realistic unit cell geometry[J]. Composite Structures, 2014, 118: 284-293.
[19] ISART N, EI SAID B, IVANOV D S, et al. Internal geometric modelling of 3D woven composites: A comparison between different approaches[J]. Composite Structures, 2015, 132: 1219-1230.
[20] WANG Y Q, MIAO Y Y, HUANG L J, et al. Effect of the inter-fiber friction on fiber damage propagation and ballistic limit of 2-D woven fabrics under a fully confined boundary condition[J]. International Journal of Impact Engineering, 2016, 97: 66-78.
[21] DAELEMANS L, FAES J, ALLAOUI S, et al. Finite element simulation of the woven geometry and mechanical behaviour of a 3D woven dry fabric under tensile and shear loading using the digital element method[J]. Composites Science and Technology, 2016, 137: 177-187.
[22] JOGLEKAR S, PANKOW M. Modeling of 3D woven composites using the digital element approach for accurate prediction of kinking under compressive loads[J]. Composite Structures, 2016, 160: 547-559.
[23] YOUSAF Z, POTLURI P, WITHERS P J, et al. Digital element simulation of aligned tows during compaction validated by computed tomography (CT)[J]. International Journal of Solids and Structures, 2018, 154: 78-87.
[24] THOMPSON A J, EI SAID B, IVANOV D S, et al. High fidelity modelling of the compression behaviour of 2D woven fabrics[J]. International Journal of Solids and Structures, 2018, 154: 104-113.