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 引用本文: 张义同, 徐家福. 受沿任意方向单向拉伸的织物的屈曲分析[J]. 应用数学和力学, 2002, 23(5): 533-540.
ZHANG Yi-tong, XU Jia-fu. Buckling Analysis of Woven Fabric Under Uniaxial Tension in Arbitrary Direction[J]. Applied Mathematics and Mechanics, 2002, 23(5): 533-540.
 Citation: ZHANG Yi-tong, XU Jia-fu. Buckling Analysis of Woven Fabric Under Uniaxial Tension in Arbitrary Direction[J]. Applied Mathematics and Mechanics, 2002, 23(5): 533-540.

• 中图分类号: O344

Buckling Analysis of Woven Fabric Under Uniaxial Tension in Arbitrary Direction

• 摘要: 对编织物受沿与其经线方向成任意角度θ(0<θ<90°)的单向拉伸时的屈曲进行了分析,得到了确定其屈曲方向角β的方程,给出了当θ=45°和θ=30°时确定屈曲方向角β的方程的解曲线.证明了当编织物受到沿非经向/非纬向的单向拉伸时,屈曲是可能的,得到了两种可能的屈曲模态(弯曲模态和拉伸模态)以及相应的屈曲条件.Zhang和Fu(2001)的结果为其结论的特例.
•  [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. [2] Kim J H.Fabric mechanics analysis using large deformation orthotropic shell theory[D].Ph D Thesis.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 tensior Part 2:Buckling analysis[J].Inter J Eng Sci,2001,39(1):1-13. [4] Fu Y B,Ogden R W.Nonlinear stability analysis of pre-stressed elastic bodies[J].Continuum Mech Thermodyn,1999,11:141-172. [5] Ogden R W.Non-linear Elastic Deformations[M].New York:Dover Publications,1984. [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. [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. [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. [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.
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出版历程
• 收稿日期:  2001-07-30
• 修回日期:  2001-11-28
• 刊出日期:  2002-05-15

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