Sage Journals: Discover world-class research

Abstract

Nonlinear tensile behavior of woven fabric is simulated using a simplified model of the basic cell in which tensile and bending resistances of the yarn are geometrically discretized. Geometry of the basic cell, which undergoes changes in the deformation process, is represented by the slope of the yarn. Geometric nonlinearity is accounted for by writing static equations in current configuration, and the corresponding nonlinear set of equations is solved incrementally. In order to compare the computed tensile curve with the one experimentally recorded in KES procedure of textile evaluation, residual deformation in unloading needs to be accounted for. This is done by introducing elastoplastic tensile response of the yarn into the nonlinear micromechanical model. In that way, the model covers both geometric and material nonlinearities in fabric deformation with a limited set of basic parameters. In order to refine the initial estimate of the parameters and make up for neglected secondary phenomena, the set of model parameters is optimized for best fit of computed and recorded tensile curves. The optimization is done using genetic algorithm. Very good accuracy is obtained, which seems promising for future engineering of woven fabrics.

Keywords

micromechanical model nonlinearity optimization tensile deformation woven fabric

Get full access to this article

View all access options for this article.

References

Peirce, F.T. , The Geometry of Cloth Structure, J. Textile Inst. 16, T45-T96 ( 1937).

Kawabata, S. , Niwa, M. , and Kawai, H. , The Finite-deformation Theory of Plain-weave Fabrics, Part I: The Biaxial-deformation Theory, J. Textile Inst. 64 (1), 21-46 (1973).

Tarfaoui, M. , and Akesbi, S. , Numerical Study of the Mechanical Behaviour of Textile Structures, Int. J. Clothing Sci. Technol. 13(3/4), 166-175 (2001).

Leaf, G.A.V. , Analytical Woven Fabric Mechanics, Int. J. Clothing Sci. Technol. 14(3/4), 223-229 (2002).

Taibi, E.H. , Hamouche, A. , and Kifani, A. , Model of the Tensile Stress-strain Behaviour of Fabrics, Textile Res. J. 71(7), 582- 586 ( 2001).

Šomođi, Ž. , and Hursa, A. , A Simple Mechanical Model for Tensile Nonlinearity of Textiles, in "Book of Proceedings of the 4th International Textile, Clothing & Design Conference - Magic World of Textiles 2008," October 5-8, Dragčević, Z. , (Ed.), Faculty of Textile Technology University of Zagreb, Zagreb, Croatia, pp. 659-664 (2008).

Kawabata, S. , "The Standardization and Analysis of Hand Evaluation," Second Edn., The Hand Evaluation and Standardization Committee, Osaka, Japan (1980).

Hinton, E. , and Owen, D.R.J. , "Finite Elements in Plasticity: Theory and Practice," Pineridge Press, Swansea, Wales (1980).

De Jong, K.A. , "An Analysis of the Behaviour of a Class of Genetic Adaptive Systems," PhD Thesis, University of Michigan, Diss. Abstr. Int. 36(10), 5140B, University Microfilms No. 76-9381 (1975).

10.

Holland, J.H. , "Adaptation in Natural and Artificial Systems ," The University of Michigan Press, Michigan, USA (1975).

11.

Rechenberg, I. , "Evolutionary Strategy: Optimisation of Technical system using Principals of Biological Evolution," Frommann-Holzboog , Stuttgart, Germany (1973) (in German).

12.

Schwefel, H.-P. , "Numerical Optimization of Computer Models ," John Wiley & Sons, New York , USA (1981).

13.

The MathWorks - MATLAB and Simulink for Technical Computing, http://www.mathworks.com/ (Accessed: 1st July 2009).

14.

"Genetic Algorithm and Direct Search Toolbox User’s Guide, Version 2," The MathWorks, Inc. (2006 ).

15.

Baker, J.E. , Reducing Bias and Inefficiency in the Selection Algorithm, in " Proceedings of the Second International Conference on Genetic Algorithms and Their Application," July 28-31, Grefenstette, J. J. , (Ed.), L. Erlbaum Associates, Hillsdale, New Jersey, Hove and London, at the Massachusetts Institute of Technology, Cambridge, USA, pp. 14-21 (1987).

16.

Goldberg, D.E. , "Genetic Algorithm in Search, Optimization and Machine Learning," Addison-Wesley, Reading, MA, Boston, USA (1989).

17.

Bäck, T. , "Evolutionary Algorithms in Theory and Practice: Evolution Strategies, Evolutionary Programming, Genetic Algorithms," Oxford University Press, New York, USA (1996).

18.

Zavec Pavlinić, D. , "Prediction of Garment Appearance Quality ," PhD Thesis, Faculty of Mechanical Engineering, University of Maribor, Slovenia (2005) (in Slovenian).

Micromechanical Tensile Model of Woven Fabric and Parameter Optimization for Fit with KES Data

Abstract

Keywords

Get full access to this article

References