BibTex RIS Cite

LAGRANGE SONLU ELEMANLAR YÖNTEMİYLE KUMAŞLARIN BÜYÜK DEFORMASYON DAVRANIŞLARININ HESAPLANMASI

Year 2011, Volume: 21 Issue: 2, 133 - 139, 01.12.2011

Abstract

Bu çalışmada, eğilme ve eksenel deformasyon rijitliğini içeren Lagrange Sonlu Elemanlar formülasyonu, kumaş ağırlığını içerecek şekilde genişletilmiş ve kumaşların büyük eğilme ve burkulma deformasyonlarının hesaplanması için incelenmiştir. Deformasyon sonuçları, literatürdeki sonuçlarla karşılaştırılmıştır. Hesaplanan sonuçların, daha önce yayınlanan sonuçlarla oldukça iyi uyum içinde olduğu gösterilmiştir

References

  • 1. Grosberg, P., 1966, ‘‘The Mechanical Properties of Woven Fabrics, Part II: The Bending of Woven Fabrics’’, Textile Research Journal, Vol.36, No.3, pp.205-211.
  • 2. Grosberg, P. and Swani, N.M., 1966, ‘‘The Mechanical Properties of Woven Fabrics, Part III: The Buckling of Woven Fabrics, Textile Research Journal, Vol.36, No.4, pp.332-338.
  • 3. Lloyd, D.W., Shanahan, W.J. and Konopasek, M., 1978, ‘‘The Folding of Heavy Fabric Sheets’’, International Journal of Mechanical Science, Vol.20, No.8, pp.521-527.
  • 4. Brown, P.R., Buchanan, D.R. and Clapp, T.G., 1990, ‘‘Large Deflection Bending of Woven Fabric for Automated Material Handling’’, Journal of the Textile Institute, Vol.81, No.1, pp.1-14.
  • 5. Clapp, T.G., and Peng, H., 1990, ‘‘Buckling of Woven Fabrics, Part I: Effect of Fabric Weight’’, Textile Research Journal, Vol.60, No.4, pp.228-234.
  • 6. Clapp, T.G., and Peng, H., 1990, ‘‘Buckling of Woven Fabrics, Part II: Effect of Weight and Frictional Couple’’, Textile Research Journal, Vol.60, No.5, pp.285-292 .
  • 7. Clapp, T.G., and Peng, H., 1991, ‘‘A Comparison of Linear and Non-linear Bending Models for Predicting Fabric Deformation in Automated Handling’’, Journal of the Textile Institute, Vol.82, No.3, pp. 341-352.
  • 8. Kang, T.J., Joo, K.H., and Lee, K.W., 2004, ‘‘Analyzing Fabric Buckling Based on Nonlinear Bending Properties’’, Textile Research Journal, Vol.74, No.2, pp.172-177.
  • 9. Szablewski, P. and Kobza, W., 2003, ‘‘Numerical Analysis of Peirce’s Cantilever Test for the Bending Rigidity of Textiles’’, Fiber & Textiles in Eastern Europe, Vol.11, No.4, pp.54-57.
  • 10. Zhou, N. and Ghosh, T.K., 1997, ‘‘On-Line Measurement of Fabric Bending Behavior, Part I: Theoretical Study of Static Fabric Loops’’, Textile Research Journal, Vol.67,No. pp.712-719.
  • 11. Zhou, N. and Ghosh, T.K., 1998, ‘‘On-Line Measurement of Fabric Bending Behavior, Part II: Effects of Fabric Nonlinear Bending Behavior’’, Textile Research Journal., Vol. 68, No.7, pp.533-542.
  • 12. Demiroz, A., 2005, ‘‘Prediction of Large Deformation Behavior of Fabric Using Galerkin Finite Element Method’’, Textile Research Journal, Vol.75, No.9, pp.662-669.
  • 13. Anandjiwala, R.D. and Gonsalves, J.W., 2006, ‘‘Nonlinear Buckling of Woven Fabrics, Part I: Elastic and Nonelastic Cases, Textile Research Journal, Vol.76, No.2, pp.160-168.
  • 14. Potluri, P., Atkinson, J. and Porat, I., 1996, ‘‘Large Deformation Modelling of Flexible Materials’’, Journal of the Textile Institute, Vol.87, No.1, pp.129-151.
  • 15. Collier, J.R., Collier, B.J., O'Toole, G. and Sargand, S.M., 1991, ‘‘Drape Prediction by Means of Finite-element Analysis’’, Journal of the Textile Institute, Vol.82, No.1, pp.96-107.
  • 16. Kang, T.J., and Yu, W.R., 1995, ‘‘Drape Simulation of Woven Fabric by Using the Finite-element Method’’, Journal of the Textile Institute, Vol.86, No.4, pp.635-648.
  • 17. Gan, L., Ly, N.G. and Steven, G.P., 1995, ‘‘A Study of Fabric Deformation Using Nonlinear Finite Elements’’, Textile Research Journal, Vol.65, No.11, pp.660-668.
  • 18. Yang, T.Y., 1973, ‘‘Matrix Displacement Solution to Elastica Problems of Beams and Frames’’, International Journal of Solids and Structures, Vol.9, No.7, pp.829-842.
  • 19. Zienkiewicz, O.C. and Taylor, R.L., 2005, ‘‘The Finite Element Method: Volume 2, Solid Mechanics’’, Butterworth Heinemann, Oxford.
  • 20. Reddy, J.N., 2004, ‘‘An Introduction to Nonlinear Finite Element Analysis’’, Oxford University Press, Oxford.
  • 21. Milner, H.R., 1981, ‘‘Accurate Finite Element Analysis of Large Displacements in Skeletal Frames’’, Computers & Structures, Vol.14, No.3-4, pp.205-210.

PREDICTION OF LARGE DEFORMATION BEHAVIOR OF FABRICS USING LAGRANGIAN FINITE ELEMENT FORMULATION

Year 2011, Volume: 21 Issue: 2, 133 - 139, 01.12.2011

Abstract

In this study, the Lagrangian Finite Element formulation, covering both the tensile and bending rigidities, is extended to include fabric weights and then exploited for the prediction of the large bending and buckling deformations of fabrics. The deformations results are compared with those published in the literature. It is shown that there is an excellent agreement between the calculated results and the previously published results

References

  • 1. Grosberg, P., 1966, ‘‘The Mechanical Properties of Woven Fabrics, Part II: The Bending of Woven Fabrics’’, Textile Research Journal, Vol.36, No.3, pp.205-211.
  • 2. Grosberg, P. and Swani, N.M., 1966, ‘‘The Mechanical Properties of Woven Fabrics, Part III: The Buckling of Woven Fabrics, Textile Research Journal, Vol.36, No.4, pp.332-338.
  • 3. Lloyd, D.W., Shanahan, W.J. and Konopasek, M., 1978, ‘‘The Folding of Heavy Fabric Sheets’’, International Journal of Mechanical Science, Vol.20, No.8, pp.521-527.
  • 4. Brown, P.R., Buchanan, D.R. and Clapp, T.G., 1990, ‘‘Large Deflection Bending of Woven Fabric for Automated Material Handling’’, Journal of the Textile Institute, Vol.81, No.1, pp.1-14.
  • 5. Clapp, T.G., and Peng, H., 1990, ‘‘Buckling of Woven Fabrics, Part I: Effect of Fabric Weight’’, Textile Research Journal, Vol.60, No.4, pp.228-234.
  • 6. Clapp, T.G., and Peng, H., 1990, ‘‘Buckling of Woven Fabrics, Part II: Effect of Weight and Frictional Couple’’, Textile Research Journal, Vol.60, No.5, pp.285-292 .
  • 7. Clapp, T.G., and Peng, H., 1991, ‘‘A Comparison of Linear and Non-linear Bending Models for Predicting Fabric Deformation in Automated Handling’’, Journal of the Textile Institute, Vol.82, No.3, pp. 341-352.
  • 8. Kang, T.J., Joo, K.H., and Lee, K.W., 2004, ‘‘Analyzing Fabric Buckling Based on Nonlinear Bending Properties’’, Textile Research Journal, Vol.74, No.2, pp.172-177.
  • 9. Szablewski, P. and Kobza, W., 2003, ‘‘Numerical Analysis of Peirce’s Cantilever Test for the Bending Rigidity of Textiles’’, Fiber & Textiles in Eastern Europe, Vol.11, No.4, pp.54-57.
  • 10. Zhou, N. and Ghosh, T.K., 1997, ‘‘On-Line Measurement of Fabric Bending Behavior, Part I: Theoretical Study of Static Fabric Loops’’, Textile Research Journal, Vol.67,No. pp.712-719.
  • 11. Zhou, N. and Ghosh, T.K., 1998, ‘‘On-Line Measurement of Fabric Bending Behavior, Part II: Effects of Fabric Nonlinear Bending Behavior’’, Textile Research Journal., Vol. 68, No.7, pp.533-542.
  • 12. Demiroz, A., 2005, ‘‘Prediction of Large Deformation Behavior of Fabric Using Galerkin Finite Element Method’’, Textile Research Journal, Vol.75, No.9, pp.662-669.
  • 13. Anandjiwala, R.D. and Gonsalves, J.W., 2006, ‘‘Nonlinear Buckling of Woven Fabrics, Part I: Elastic and Nonelastic Cases, Textile Research Journal, Vol.76, No.2, pp.160-168.
  • 14. Potluri, P., Atkinson, J. and Porat, I., 1996, ‘‘Large Deformation Modelling of Flexible Materials’’, Journal of the Textile Institute, Vol.87, No.1, pp.129-151.
  • 15. Collier, J.R., Collier, B.J., O'Toole, G. and Sargand, S.M., 1991, ‘‘Drape Prediction by Means of Finite-element Analysis’’, Journal of the Textile Institute, Vol.82, No.1, pp.96-107.
  • 16. Kang, T.J., and Yu, W.R., 1995, ‘‘Drape Simulation of Woven Fabric by Using the Finite-element Method’’, Journal of the Textile Institute, Vol.86, No.4, pp.635-648.
  • 17. Gan, L., Ly, N.G. and Steven, G.P., 1995, ‘‘A Study of Fabric Deformation Using Nonlinear Finite Elements’’, Textile Research Journal, Vol.65, No.11, pp.660-668.
  • 18. Yang, T.Y., 1973, ‘‘Matrix Displacement Solution to Elastica Problems of Beams and Frames’’, International Journal of Solids and Structures, Vol.9, No.7, pp.829-842.
  • 19. Zienkiewicz, O.C. and Taylor, R.L., 2005, ‘‘The Finite Element Method: Volume 2, Solid Mechanics’’, Butterworth Heinemann, Oxford.
  • 20. Reddy, J.N., 2004, ‘‘An Introduction to Nonlinear Finite Element Analysis’’, Oxford University Press, Oxford.
  • 21. Milner, H.R., 1981, ‘‘Accurate Finite Element Analysis of Large Displacements in Skeletal Frames’’, Computers & Structures, Vol.14, No.3-4, pp.205-210.
There are 21 citations in total.

Details

Other ID JA88EF62DV
Journal Section Articles
Authors

Ahu Demiroz Gun This is me

Publication Date December 1, 2011
Submission Date December 1, 2011
Published in Issue Year 2011 Volume: 21 Issue: 2

Cite

APA Gun, A. D. (2011). PREDICTION OF LARGE DEFORMATION BEHAVIOR OF FABRICS USING LAGRANGIAN FINITE ELEMENT FORMULATION. Textile and Apparel, 21(2), 133-139.

No part of this journal may be reproduced, stored, transmitted or disseminated in any forms or by any means without prior written permission of the Editorial Board. The views and opinions expressed here in the articles are those of the authors and are not the views of Tekstil ve Konfeksiyon and Textile and Apparel Research-Application Center.