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Buckling analysis of woven fabric under uniaxial tension in arbitrary direction

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Abstract

The buckling of a fabric sheet subjected to a uniaxial tension in a direction making arbitrary angle, θ (0°<θ<90°) say, with respect to that of warp is investigated. The equation to determine the buckling direction angle, β say, was obtained and, as illustration, the solution curves of the equation for θ=45° and θ=30° were plotted. It is shown that when the fabric sheet is subjected to tension in non-warp/non-weft direction the out-of-plane buckling of fabric is possible, two buckling modes (flexural and extensional modes) and the both corresponding buckling conditions are obtained. The results given by ZHANG and FU (2001) are the special cases of this paper.

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References

  1. Amirbayat J, Hearle J W S. The anatomy of buckling of textile fabrics: drape and conformability [J].Journal of the Textile Institute, 1989,26(1):51–68.

    Article  Google Scholar 

  2. Kim J H. Fabric mechanics analysis using large deformation orthotropic shell theory [D]. Dept of Mechanical and Aerospace Engineering, North Carolina State University, 1991.

  3. ZHANG Yi-tong, Fu Y B. A micromechanical model of woven fabric and its application to the analysis of buckling under uniaxial tension Part 2: Buckling analysis[J].Inter J Eng Sci, 2001,39 (1):1–13.

    Article  Google Scholar 

  4. Fu Y B, Ogden R W. Nonlinear stability analysis of pre-stressed elastic bodies[J].Continuum Mech Thermodyn, 1999,11:141–172.

    Article  MathSciNet  MATH  Google Scholar 

  5. Ogden R W.Non-linear Elastic Deformations[M]. New York: Dover Publications, 1984.

    Google Scholar 

  6. ZHANG Yi-tong, Fu Y B. A micromechanical model of woven fabric and its application to the analysis of buckling under uniaxial tension Part 1: The micromechanical model[J].Inter J Eng Sci, 2000,38(17):1895–1906.

    Article  Google Scholar 

  7. Conner P, Ogden R W. The influence of shear strain and hydrostatic stress on stability and elastic waves in a layer[J].Int J Engng Sci, 1996,34(3):375–397.

    Article  Google Scholar 

  8. Roxburgh D G, Ogden R W. Stability and vibration of pre-stressed compressible elastic plate[J].Int J Engng Sci, 1994,32(3):427–454.

    Article  MathSciNet  MATH  Google Scholar 

  9. ZHANG Yi-tong. On the orientation of buckling direction of anisotropic elastic plate under uniaxial compression[J].Acta Mechanica Solida Sinica (English Edition), 2001,14(2):130–137.

    Google Scholar 

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Communicated by SHEN Hui-sheng

Foundation item: the National Natural Science Foundation of China (19772032)

Biography: ZHANG Yi-tong (1945-), Professor

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Yi-tong, Z., Jia-fu, X. Buckling analysis of woven fabric under uniaxial tension in arbitrary direction. Appl Math Mech 23, 597–605 (2002). https://doi.org/10.1007/BF02437778

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  • DOI: https://doi.org/10.1007/BF02437778

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