A Filament Level Analysis on 3-D Orthogonal Weave Micro-geometry Modeling under Different Yarn Tension
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ISSN 1229-9197 (print version) ISSN 1875-0052 (electronic version)
A Filament Level Analysis on 3-D Orthogonal Weave Micro-geometry Modeling under Different Yarn Tension Ying Ma1,2, Yueyan Liu1, Congying Deng1, Xiang Chen1, Yang Zhao1, Sheng Lu1,3*, and Youqi Wang2 1
College of Advanced Manufacturing Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China 2 Kansas State University Composites Laboratory, Kansas State University, Manhattan, KS 66506, USA 3 State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Shaanxi, Xi’an 710049, China (Received November 12, 2019; Revised January 5, 2020; Accepted February 14, 2020)
Abstract: 3-D woven textile is generated through the weaving process. Yarn is a non-continuum material domain, the structure of which is determined by inter fiber movement. In this study, the micro-geometry of 3-D orthogonal weave is generated at filament level predicting through the weaving process implementing the digital element approach (DEA). First, the basic concepts and explicit algorithm of DEA is introduced. The method of calculating adjusted digital fiber material property in terms of discretization resolution is proposed. Second, the unit-cell topology of 3-D orthogonal weave is defined by a position matrix. The calculation of potential energy of the cell is derived. At last, a dynamic weaving process is designed to investigate the effect of yarn tension on fabric micro-geometry and cell energy. 4 unit-cells are generated under 4 sets of tension combination. Results show that as the fabric thickness decrease, the filaments of the weft yarns move towards the center. The weft yarns at the top and bottom deform into their final shape first. The applied tension on weaver plays a dominant role in determining fabric thickness and convergence speed. By comparing the numerical results with the microscope pictures taken from the actual specimen, it is concluded that the fabric micro-geometry produced by tension combination 4 closely matches the experimental results. Keywords: Textile micro-geometry, Filament level modeling, Yarn tension, Weaving process, 3-D orthogonal weave
reinforcement at meso-scale based on tools available in CATIA V5. Models generated by this method are heavily based on fabric microscope pictures and completely parameterized. Stig et al. [3] generated a 3-D-woven textile with varied cross-section size and shape at meso-scale. This model was initially created in TexGen and then meshed and relaxed in Abaqus. Wang et al. [4] utilized the NURBS model and lofting technique build-in 3-Ds MAX to generate a 2D plain woven at meso-scale. A point-based modeling scheme is developed by Liu et al. [5] to generate the mesostructure of 3-D orthogonal woven composite and validated in Finite Element (FE) analysis. The above mentioned approaches generate the fabric model at meso-scale by means of parameterization utilizing 3-D rendering software. However, the yarn cross-section shape is ideally set to constant al
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