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石志飞, 高玉臣. 橡皮薄膜缺口顶端场的大变形分析[J]. 力学学报, 1996, 28(2): 191-199. DOI: 10.6052/0459-1879-1996-2-1995-320
引用本文: 石志飞, 高玉臣. 橡皮薄膜缺口顶端场的大变形分析[J]. 力学学报, 1996, 28(2): 191-199. DOI: 10.6052/0459-1879-1996-2-1995-320
STRESS-STRAIN FIELD NEAR THE NOTCH TIP OF A RUBBER SHEET[J]. Chinese Journal of Theoretical and Applied Mechanics, 1996, 28(2): 191-199. DOI: 10.6052/0459-1879-1996-2-1995-320
Citation: STRESS-STRAIN FIELD NEAR THE NOTCH TIP OF A RUBBER SHEET[J]. Chinese Journal of Theoretical and Applied Mechanics, 1996, 28(2): 191-199. DOI: 10.6052/0459-1879-1996-2-1995-320

橡皮薄膜缺口顶端场的大变形分析

STRESS-STRAIN FIELD NEAR THE NOTCH TIP OF A RUBBER SHEET

  • 摘要: 分析了橡皮类薄膜缺口顶端的弹性场,借助于文[1]引入的本构关系得到了缺口顶端场的渐近方程.通过将缺日顶端场划分为收缩角区和扩张角区,得到了顶端场的解.该解表明,奇异特性与本构参数和缺口角度有关,这一结论得到了数值解的证实.

     

    Abstract: Analized in this paper is the elastostatic field near a notch tip in a rubber-like thin sheet.The asymptotic equations for the notch tip field are derived based on the constitutive relation given by Ref.1.Near field solutions are obtained in regions that decreases and increases in size as the notch tip is approached.Their singular character depends on the constitutive parameters as well as the angle of notch that is evaluated numerically.

     

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