New computer geometric modeling approach with filament assembly model for two-ply yarns structures

Abstract This article presents a new computer geometric modelling approach for three-dimensional of two-ply yarn structures with filament assembly model. The geometric of individual filaments in two-ply yarn structures with uncompressed and compressed states were studied. In the uncompressed state the filaments in ply yarns have the form of coaxial double wound helices; we simulate the paths of these filaments in the ply yarns. In the compressed state the transformation of the initial filament distribution from the uncompressed state into the distribution after compression by a transverse force. The ply yarns cross-section uses the concept of virtual locations to simulate the filament distributions. Each cross-section is rotated along the single yarn and the ply yarn length. The curve of each filament in each two successive cross-sections is approximated by NURBS and then each curve is created by sweeping a closed curve along the centerline of the single yarn and ply yarn path. The method described is demonstrated in the uncompressed and compressed state of two-ply yarns by the CAD model using geometric parameters of the double-rove acrylic-fiber yarns. The simulation using this approach can demonstrate more realistic and improved visual simulations of real two-ply yarns.

[1]  C. M. van Wyk,et al.  20—NOTE ON THE COMPRESSIBILITY OF WOOL , 1946 .

[2]  Xiaoming Tao,et al.  The Bending Properties of Multi‐ply Worsted Yarns , 1994 .

[3]  Reinhard Klein,et al.  Image-Based Reverse Engineering and Visual Prototyping of Woven Cloth , 2015, IEEE Transactions on Visualization and Computer Graphics.

[4]  N. Pan,et al.  Theory of the Compression Hysteresis of Fibrous Assemblies , 1989 .

[5]  Les A. Piegl,et al.  The NURBS Book , 1995, Monographs in Visual Communication.

[6]  L. Treloar 25—The Geometry of Multi-Ply Yarns , 1956 .

[7]  B. Jeon,et al.  Orientation Density Function of Ply yarn , 2010 .

[8]  Radko Kovar,et al.  Length of the yarn in plain‐weave crimp wave , 2011 .

[9]  Michael Keefe,et al.  Solid Modeling of Yarn and Fiber Assemblies , 1992 .

[10]  F. T. Peirce The geometry of cloth structure , 1937 .

[11]  R. J. Harwood,et al.  The simulation of the geometry of a two-component yarn part II: Fibre distribution in the yarn cross-section , 1997 .

[12]  S. Harlock,et al.  Three-Dimensional Computer Modeling of Warp Knitted Structures , 2002 .

[13]  Y. Jiang,et al.  Geometric and algebraic algorithms for modelling yarn in woven fabrics , 2005 .

[14]  David E. Breen,et al.  Cloth modeling and animation , 2000 .

[15]  Erik L.J. Bohez,et al.  Computer Aided Modeling of Fiber Assemblies , 2006 .

[16]  R. J. Harwood,et al.  The simulation of the geometry of two-component yarns. Part I: The mechanics of strand compression: Simulating yarn cross-section shape , 1997 .

[17]  Takashi Komori,et al.  A Modified Theory of Fiber Contact in General Fiber Assemblies , 1994 .

[18]  Manuchehr Soleimani,et al.  Modeling of Yarn Cross-Section in Plain Woven Fabric , 2009 .

[19]  K. Sriprateep CAD/CAE for stress–strain properties of a wide range of multifilament twisted man-made filament yarns , 2019 .

[20]  Sabit Adanur,et al.  3D modeling of textile composite preforms , 1998 .

[21]  Cheng Liang,et al.  IDSS: A Novel Representation for Woven Fabrics , 2013, IEEE Transactions on Visualization and Computer Graphics.

[22]  Takashi Komori,et al.  A New Approach to the Theory of the Compression of Fiber Assemblies , 1991 .

[23]  K. Sriprateep,et al.  New computer geometric modeling approach with filament assembly model for woven fabric structures , 2018, The Journal of The Textile Institute.

[24]  E. L. J. Bohez,et al.  A new computer geometric modelling approach of yarn structures for the conventional ring spinning process , 2009 .

[25]  E. Bohez,et al.  CAD/CAE for stress–strain properties of multifilament twisted yarns , 2017 .

[26]  Rajesh Mishra,et al.  Modeling of internal geometry of 3D woven fabrics by computation method , 2013 .

[27]  Jinlian Hu,et al.  3 – Structural properties of fabric , 2004 .

[28]  Modelling of Two-component Yarns Part II: Creation of the Visual Images of Yarns , 1997 .

[29]  Damien Durville,et al.  Simulation of the mechanical behaviour of woven fabrics at the scale of fibers , 2010 .

[30]  A. Newton,et al.  Computer Representation of Woven Fabric by Using B-splines , 1999 .

[31]  S. K. Tandon,et al.  An energy model of yarn bending , 2006 .

[32]  Stepan Vladimirovitch Lomov,et al.  MODELLING OF TWO-COMPONENT YARNS. PART I: THE COMPRESSIBILITY OF YARNS , 1997 .

[33]  M. Keefe Solid Modeling Applied to Fibrous Assemblies. Part I: Twisted Yarns , 1994 .

[34]  W. J. Albery Ring-disc electrodes. Part 1.—A new approach to the theory , 1966 .