Discrete woven structure model: yarn-on-yarn friction

Bilel Ben Boubaker; Bernard Haussy; Jean-François Ganghoffer

doi:10.1016/j.crme.2007.02.006

Discrete woven structure model: yarn-on-yarn friction
[Modèle discret de structures tissées – Prise en compte du frottement entre fils]

Présenté par : Évariste Sanchez-Palencia

Bilel Ben Boubaker ¹ ; Bernard Haussy ¹ ; Jean-François Ganghoffer ²

¹ ESEO, 4, rue Merlet de la Boulaye, 49009 Angers cedex 01, BP 926, France
² LEMTA, UMR 7563, ENSEM, 2, avenue de la forêt de Haye, B.P. 160, 54504 Vandoeuvre cedex, France

Comptes Rendus. Mécanique, Volume 335 (2007) no. 3, pp. 150-158.

Résumé
Abstract

Un modèle discret d'une structure tissée d'armure toile a été développé, qui s'appuie sur une description analogique, mettant en œuvre un ensemble d'éléments masse-ressort. Le modèle est construit à partir d'un réseau de nœuds dotés de masses et de rigidités en rotation, connectés par des barres supposées élastiques. Le modèle décrit le comportement d'une nappe de fils à l'échelle mésoscopique. La nouveauté du présent travail réside dans la considération de la compressibilité des fils, ainsi que des interactions de frottement entre fils. Une étude énergétique du système discret est menée, en considérant l'énergie de compression des fils, ainsi que le travail des efforts de réaction exercé par les fils. Un principe variationnel discret est établi, tenant compte des forces non holonomes dues au frottement. Des simulations en traction uniaxiales mettent en évidence l'effet du frottement et de la compressibilité des fils sur la réponse du tissé.

A discrete model of a fabric has been developed from an analogical description, using a mass-spring system of discrete elements. An element of fabric is modeled by a set of grid nodes endowed with a mass and connected with flexional and stretching springs. This model describes the mechanical behavior of a woven structure at a mesoscopic scale. As a novel contribution, the interactions and the friction between yarns are introduced in the present work. An energy analysis of the discrete system of analogical elements is performed, taking into account the compression strain energy of the yarns and the work of the reaction forces exerted between yarns. A suitable discrete variational principle, accounting for the presence of the nonholonomic forces arising from friction, serves as a basis for a numerical implementation. Simulations of uniaxial tractions are performed, that show the effect of the yarn–yarn friction and yarn compressibility on the fabric response.

Reçu le : 2005-10-11
Accepté le : 2007-02-22
Publié le : 2007-03-01

DOI : 10.1016/j.crme.2007.02.006

Keywords: Solids and structures, Woven structures, Discrete models, Mechanical behavior, Yarn–yarn interaction, Traction behavior, Yarn–yarn friction
Mots-clés : Solides et structures, Structures tissées, Modèles discrets, Comportement mécanique, Interaction entre fils, Frottement entre fils

Affiliations des auteurs :

Bilel Ben Boubaker ¹ ; Bernard Haussy ¹ ; Jean-François Ganghoffer ²

¹ ESEO, 4, rue Merlet de la Boulaye, 49009 Angers cedex 01, BP 926, France
² LEMTA, UMR 7563, ENSEM, 2, avenue de la forêt de Haye, B.P. 160, 54504 Vandoeuvre cedex, France

@article{CRMECA_2007__335_3_150_0,
     author = {Bilel Ben Boubaker and Bernard Haussy and Jean-Fran\c{c}ois Ganghoffer},
     title = {Discrete woven structure model: yarn-on-yarn friction},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {150--158},
     publisher = {Elsevier},
     volume = {335},
     number = {3},
     year = {2007},
     doi = {10.1016/j.crme.2007.02.006},
     language = {en},
}

TY  - JOUR
AU  - Bilel Ben Boubaker
AU  - Bernard Haussy
AU  - Jean-François Ganghoffer
TI  - Discrete woven structure model: yarn-on-yarn friction
JO  - Comptes Rendus. Mécanique
PY  - 2007
SP  - 150
EP  - 158
VL  - 335
IS  - 3
PB  - Elsevier
DO  - 10.1016/j.crme.2007.02.006
LA  - en
ID  - CRMECA_2007__335_3_150_0
ER  -

%0 Journal Article
%A Bilel Ben Boubaker
%A Bernard Haussy
%A Jean-François Ganghoffer
%T Discrete woven structure model: yarn-on-yarn friction
%J Comptes Rendus. Mécanique
%D 2007
%P 150-158
%V 335
%N 3
%I Elsevier
%R 10.1016/j.crme.2007.02.006
%G en
%F CRMECA_2007__335_3_150_0

Bilel Ben Boubaker; Bernard Haussy; Jean-François Ganghoffer. Discrete woven structure model: yarn-on-yarn friction. Comptes Rendus. Mécanique, Volume 335 (2007) no. 3, pp. 150-158. doi : 10.1016/j.crme.2007.02.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.02.006/

Bibliographie
Cité par

[1] M.J. King; P. Jearanaisilawong; S. Socrate A continuum constitutive model for the mechanical behavior of woven fabrics, Int. J. Solids Structures, Volume 42 (2005), pp. 3867-3896

[2] B. Ben Boubaker; B. Haussy; J.F. Ganghoffer A discrete model for the coupling between yarns in a woven fabric, C. R. Mecanique, Volume 331 (2003) no. 4, pp. 295-302

[3] B. Ben Boubaker; B. Haussy; J.F. Ganghoffer Discrete models of fabric accounting for yarn interactions. Simulations of uniaxial and biaxial behaviour, European J. Finite Elements, Volume 14 (2005) no. 6–7, pp. 653-675 (Special Issue)

[4] S. Timoshenko Théorie de la Stabilité Elastique, Beranger, Paris & Liège, 1947

[5] A. Gasser; P. Boisse; S. Hanklar Mechanical behaviour of dry fabric reinforcements. 3D simulations versus biaxial tests, Comput. Mater. Sci., Volume 17 (2000), pp. 7-20

[6] J. Page; J. Wang Prediction of shear force using 3D non-linear FEM analyses for a plain weave carbon fabric in a bias extension state, Finite Elements Anal. Design, Volume 38 (2002) no. 8, pp. 755-764

[7] S. Kawabata; M. Niwa; H. Kawai The finite deformation theory of plane weave fabrics, J. Textile Inst., Volume 64 (1973), pp. 21-83

[8] SNECMA Moteurs, Le Haillan, France, Internal Report, 2002

[9] J. Lindberg; N. Gralen Measurement of friction between single fibers. II. Frictional properties of wool fibers measured by the fiber-twist method, Textile Res. J. ( May 1948 ), pp. 287-301

[10] B. Olofsson; N. Gralen Measurement of friction between single fibers. V. Frictional properties of viscose rayon staple fibers, Textile Res. J., Volume 20 (1950) no. 7, pp. 467-480

[11] B.S. Gupta; Y.E. El Moghahzy Friction in fibrous materials, Textile Res. J., Volume 61 (1991) no. 9, pp. 547-555

[12] H.G. Howell The laws of static friction, Textile Res. J. (1953), pp. 589-591

[13] H.G. Howell; J. Mazur; B. Lincoln British J. Appl. Phys., 44 (1953), p. T59

[14] K. Arczewski; J. Pietrucha Mathematical Modelling of Complex Mechanical Systems, vol. 1: Discrete Models, Ellis Horwood, Chichester, 1993

Barbara Röhrnbauer Mechanical properties of pelvic implants: interaction between implants and tissue, Biomechanics of the Female Reproductive System: Breast and Pelvic Organs (2023), p. 247 | DOI:10.1016/b978-0-12-823403-7.00021-x
M. Magri; P. Ciarletta Mathematics meets the fashion industry on path to product innovation and sustainability, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Volume 479 (2023) no. 2274 | DOI:10.1098/rspa.2022.0715
Yexiong Qi; Waqar Iqbal; Yaming Jiang Study on the Multi-Directional Static Friction Properties of High Performance Yarns, Fibres Textiles in Eastern Europe, Volume 30 (2022) no. 3, p. 111 | DOI:10.2478/ftee-2022-0029
Yonghao Xu; Wensuo Ma; Chenhui Jia; Xianqing Lei; Zhuangya Zhang; Zhenyu Ma; Ruidong Man The matching relation analysis of yarn pre-tension in weaving 3D bi-directional angle-interlock fabrics, Journal of Industrial Textiles, Volume 52 (2022) | DOI:10.1177/15280837221142240
H. Rappel; Lars A. A. Beex Estimating fibres' material parameter distributions from limited data with the help of Bayesian inference, European Journal of Mechanics. A. Solids, Volume 75 (2019), pp. 169-196 | DOI:10.1016/j.euromechsol.2019.01.001 | Zbl:1473.74005
Deepanshu Sodhani; Stefanie Reese; Stefan Jockenhövel; Petra Mela; Scott E. Stapleton Multi-scale modelling and simulation of a highly deformable embedded biomedical textile mesh composite, Composites Part B: Engineering, Volume 143 (2018), p. 113 | DOI:10.1016/j.compositesb.2018.01.010
Bibliography, Multiscale Biomechanics (2018), p. 511 | DOI:10.1016/b978-1-78548-208-3.50017-4
Houssem Eddine Gassara; Gérald Barbier; Christiane Wagner Kocher; Artan Sinoimeri; Besnik Pumo Experimental evaluation of transverse friction between fibers, Tribology International, Volume 119 (2018), p. 112 | DOI:10.1016/j.triboint.2017.10.035
A Shanwan; H-E Gassara; G Barbier; A Sinoimeri New experimental device for measuring the inter-fiber transversal friction, IOP Conference Series: Materials Science and Engineering, Volume 254 (2017), p. 142020 | DOI:10.1088/1757-899x/254/14/142020
Yanyan Chu; Shengnan Min; Xiaogang Chen Numerical study of inter-yarn friction on the failure of fabrics upon ballistic impacts, Materials Design, Volume 115 (2017), p. 299 | DOI:10.1016/j.matdes.2016.11.013
Michael Giordano; Steven Schmid; Mohammadreza Arjmandi; Maziar Ramezani Wear evaluation of three-dimensionally woven materials for use in a novel cartilage replacement, Wear, Volume 386-387 (2017), p. 179 | DOI:10.1016/j.wear.2017.06.012
J. Girardot; F. Dau; Nathalie Godin; Philippe Boisse A mesoscopic model using the discrete element method for impacts on dry fabrics, Matériaux Techniques, Volume 104 (2016) no. 4, p. 408 | DOI:10.1051/mattech/2016022
F. Chaouachi; Y. Rahali; J.F. Ganghoffer A micromechanical model of woven structures accounting for yarn–yarn contact based on Hertz theory and energy minimization, Composites Part B: Engineering, Volume 66 (2014), p. 368 | DOI:10.1016/j.compositesb.2014.05.027
L. A. A. Beex; R. H. J. Peerlings; M. G. D. Geers A multiscale quasicontinuum method for lattice models with bond failure and fiber sliding, Computer Methods in Applied Mechanics and Engineering, Volume 269 (2014), pp. 108-122 | DOI:10.1016/j.cma.2013.10.027 | Zbl:1296.74047
A. Wendling; G. Hivet; E. Vidal-Sallé; P. Boisse Consistent geometrical modelling of interlock fabrics, Finite Elements in Analysis and Design, Volume 90 (2014), p. 93 | DOI:10.1016/j.finel.2014.05.010
Ethan M. Parsons; Michael J. King; Simona Socrate Modeling yarn slip in woven fabric at the continuum level: Simulations of ballistic impact, Journal of the Mechanics and Physics of Solids, Volume 61 (2013) no. 1, p. 265 | DOI:10.1016/j.jmps.2012.05.005
Ibrahim Goda; Mohamed Assidi; Jean-François Ganghoffer Equivalent mechanical properties of textile monolayers from discrete asymptotic homogenization, Journal of the Mechanics and Physics of Solids, Volume 61 (2013) no. 12, p. 2537 | DOI:10.1016/j.jmps.2013.07.014
G. Hivet; S. Allaoui; B. T. Cam; P. Ouagne; D. Soulat Design and Potentiality of an Apparatus for Measuring Yarn/Yarn and Fabric/Fabric Friction, Experimental Mechanics, Volume 52 (2012) no. 8, p. 1123 | DOI:10.1007/s11340-011-9566-0
M. Assidi; B. Ben Boubaker; J.F. Ganghoffer Equivalent properties of monolayer fabric from mesoscopic modelling strategies, International Journal of Solids and Structures, Volume 48 (2011) no. 20, p. 2920 | DOI:10.1016/j.ijsolstr.2011.06.010
Mingxing Xiao; Zhaofeng Geng; Kaijun Liao An improved model of rigid bodies for plain-weave fabrics based on the dynamics of multibody systems, Textile Research Journal, Volume 81 (2011) no. 13, p. 1381 | DOI:10.1177/0040517511402128
Mingxing Xiao; Zhaofeng Geng A Model of Rigid Bodies for Plain-Weave Fabrics Based on the Dynamics of Multibody Systems, Textile Research Journal, Volume 80 (2010) no. 19, p. 1995 | DOI:10.1177/0040517510371860

Cité par 21 documents. Sources : Crossref, zbMATH

Commentaires - Politique