Fabric deformation characterized by large displacements and rotations but small strains is analyzed using a geometric nonlinear finite element method. The fabrics are modeled by shell/plate elements. Special considerations for applying the finite element method to fabric analysis are discussed and several examples of fabric deformation presented. The results from the finite element model are compared with experimental data and are in good agreement.
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References
1.
Amirbayat, J. , and Hearle, J.W.S., TheAnatomy of Buckling of Textile Fabrics: Drape and Conformability, J. Textile Inst.80, 51-70 (1989).
2.
Bathe, K.J., "Finite Element Procedures in EngineeringAnalysis ," Prentice-Hall, Englewood Cliffs, NJ, 1982.
3.
Briassoulis, D., TheZero Energy Modes Problem of the Nine-Node Lagrangian Degenerated Shell Element . Comput. Struct.30, 1389-1402 (1988 ).
4.
Chandrekekaran, N., Haisler. W. E., and Foforth. R. E.. Finite Element Solution Method for Contact Problems with Friction, Int. J. Num. Meth. Eng.24, 477-495 (1987).
5.
Chaudhary, A.B. , and Bathe. K., Solution Methods for Static and DynamicAnalysis of Three-Dimensional Contact Problems with Friction. Comput Struct.24, 855-873 (1986).
6.
Collier, J.R. , Collier, B.J., O'Toole. G., and Sargand. S. M., Drape Prediction by Means of Finite-element Analysis , J.Textile Inst. 82, 96-107 (1991).
7.
Contri, P., and Schrefler, B.A., A Geometrical Nonlinear Finite Element Analysis of Wrinkled Membrane Surfaces by a No-oompression Martial Model. Comm. Appl. Num. Meth.4, 5-15 (1988).
8.
Gan, L., Steven, G.P., and Ly, N.G., A Finite Element Analysis of the Draping of Fabrics, in " Proc. Sixth Int. Conf. in Australia on Finite Element Methods." vol. 2. University of Sydney, 1991, pp. 402-414.
9.
G & D Computing, "Strand 5 User Manual," G & D Computing Pty. Ltd., Sydney, 1989, pp. 131-144.
10.
Hearle, J.W.S. , Grosberg, P., and Backer, S., "Structural Mechanics of Fibres, Yarns and Fabrics," vol. 1, Wiley-Interscience, NY, 1969, pp. 387-392.
11.
Hinton, E., and Owen, D.R.J., "Finite Element Software for Plates and Shells," Pineridge Press, Swansea, U.K., 1984.
12.
Hsiao, K.M., and Chen, Y.T., Nonlinear Analysis of Shell Structures by Degenerated Isoparametric Shell Element, Comput. Struct.31, 427-438 (1989).
13.
Imaoka, H., Okabe, H., Nishikawa, S., Shibuya, A., and Akami, H., A Method of Estimating the Three-Dimensional Shapes of Garments by Use of Triangular Finite Elements. Bull. Res. Inst. Polym. Textiles (142), 73-80 (1984).
14.
Leewood, A. , and Nagtegaal, L.C., Design and Analysis of Fabric Structures with the Finite Element Method, Eng. Comput.1, 17-24 (1984).
15.
Lloyd, D.W. , The Analysis of Complex Fabric Deformations , in "Mechanics of Flexible Fibre Assemblies," John W. S. Hearle, Ed., Sijthoff and Noordhoff, Netherlands, 1980, pp. 311-341.
16.
Parisch, H. , A Critical Survey of the 9 Node Degenerate Shell Element with Special Emphasis on Thin Shell Application and Reduced Integration, Comput. Meth. Appl. Mech. Eng.20, 323-350 (1979).
17.
Rothert, H. , Idelberger, H., Jackbi , W., and Niemann, L., On Geometrically Nonlinear Contact Problems with Friction, Comp. MethsAppl. Mech. Eng.51, 139-155 (1985).
18.
Surana, K.S. , Geometrically Nonlinear Formulation for the Curved Shell Elements, Int. J. Num. Meth. Eng.15, 581-615 (1983).
19.
Timoshenko, S. , and Woinowsky- Kerieger , S., Theory of Plates and Shells, 2nd ed., McGraw-Hill , NY, 1959.
20.
Yang, H.T.Y. , Saigal, S., and Liaw, D.G., Advances of Thin Shell Finite Elements and Some Application, Version I, Comput. Struct.35, 481-504 (1990).
