A model for woven fabric behavior in bending is formulated based on a representation of fabric deformation as a coordinate transformation. The model is essentially based on previously published assumptions of yarn behavior but provides predictions closer to real fabric properties. It uses the energy approach for mechanical problems of textiles and employs a polynomial approximation of the thread shape. The mathematically subtle contact problem of yarns within a fabric can be turned into a more general consideration of yarn compression, and this can be investigated by independent, practical experimen tation. Comparison with previously published experimental data for a variety of thread types and fabric parameters shows reasonable agreement between predicted and measured bending stiffness of plain woven fabric.
Get full access to this article
View all access options for this article.
References
1.
Abbot, G.M., Grosberg, P., and Leaf, G.A.V., The Elastic Resistance to Bending of Plain-Woven Fabrics, J. Textile Inst. 64 , 346-362 (1973).
2.
Ellis, P., and Munden. D.L.A Theoretical Analysis and Experimental Study of a Plain Square Weave , J. Textile Inst. 64, T83-T98, T309-T311, T565-T571 ( 1973).
3.
Ghosh, T.K., Batra, S.K., and Barker, R.L., The Bending Behavior of Plain-Woven Fabrics, Part I: A Critical Review , Textile Res. J. 81, 245-285 (1990).
4.
Grosberg, P. , The Mechanical Properties of Woven Fabrics, Part II: The Bending of Woven Fabrics, Textile Res. J . 36, 205-214 (1966).
5.
Irons, B.M. , and Shrive, N.G., "Numerical Methods in Engineering and Applied Sciences," Ellis Horwood, Chichester, U.K., 1987.
6.
de Jong, S., and Postle, R.An Energy Analysis of Woven Fabric Mechanics by Means of Optimal Control Theory, Part II: Pure-Bending Properties, J. Textile Inst . 68, 362-369 (1977).
7.
Kawabata, S. , Niwa, M., and Kawai, H., The Finite Deformation Theory of Plain Weave Fabrics, J. Textile Inst . 64, 21-85 (1973).
8.
Komori, T., and Ito, M., Theory of General Deformations of Fiber Assemblies, Textile Res. J. 61, 588-594 (1991).
9.
Korn, G.K., and Korn, T.M., "Mathematical Handbook for Scientists and Engineers," McGraw-Hill. London, 1968.
10.
Leaf, G.A.V. , and Sheta, A.M.F., The Initial Shear Modulus of Plain Woven Fabrics, J. Textile Inst . 75, 157-183 ( 1984).
11.
Leaf, G.A.V. , Chen, Y., and Chen, X., The Initial Bending Behaviour of Plain-Woven Fabrics, J. Textile Inst . 84, 419-428 (1993).
12.
Livesey, R.G. , and Owen, J.D., Cloth Stiffness and Hysteresis in Bending , J. Textile Inst. 55, T516-T530 (1964).
13.
Lomov, S.V. , The Description of a Yam Shape in a Woven Fabric with Spline Functions (in Russian), Technol. Tekstil. Prom. (6), 49-51 (1991).
14.
Lomov, S.V. , The Computation of Woven Structures (in Russian) , Technol. Tekstil. Prom. (1) 40-45, (2) 47-50, (3) 42-45 (1993).
15.
Lomov, S.V. , and Truevtzev, A.V., The Evaluation of the Ratio of Bending Rigidities of a Yarn and a Fabric (in Russian), Technol. Tekstil. Prom (4) 13-17 (1994).
16.
Lomov, S.V. , and Truevtzev, N.N., A Software Package for the Prediction of Woven Fabrics' Geometrical and Mechanical Properties, Fibres Textiles E. Eur. 3 , 49-52 (1995).
17.
Lomov, S.V. , Gusakov, A.V., and Cassidy, C., 3D Fabrics : Technology, Structure, Properties and Mathematical Simulation , in “Proc. EUROMECH 334: Textile Composites and Textile Structures," W. D. deWilde and P. Hamelin, Eds., Lyon , France, 1995, pp. 187-200.
18.
Lomov, S.V. , Primachenko, B.M., and Truetzev , N.N., Two Component Multilayered Woven Fabrics: Weaves, Properties and Computer Simulation, Int. J. Clothing Sci. Technol. 9, 98-112 (1997).
19.
Owen, J.D., The Bending Behaviour of Plain-Woven Fabrics Woven from Spun Yarns , J. Textile Inst. 59, 313-343 (1968).
20.
Peirce, F.T. , The Geometry of Cloth Structure, J. Textile Inst. 28, T45-T96 ( 1937).
21.
Pouluri, P. , Atkinson, J., and Porat, I., Large Deformation Modelling of Flexible Materials, J. Textile Inst . 87, Part 1, 129-151 (1996).
22.
Reumann, R.-D. , Neuartiges Berechningsverfahren fur das flachenstructur-abhangige Kraft-Dehnings-Verhalten textilen Flachengebilde , Wiss. Z. Techn. Univ. Dresden37, 63-69 (1988).
