Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (10): 993-1000.

• 论文 • 上一篇    下一篇

TENSILE INSTABILITY OF NONLINEAR SPHERICAL MEMBRANE WITH LARGE DEFORMATION

尚新春   

  1. Department of Mechanics, Lanzhou University, Lanzhou
  • 收稿日期:1990-09-22 出版日期:1991-10-18 发布日期:1991-10-18
  • 基金资助:
    The Project supported by the National Natural Science Foundation of China

TENSILE INSTABILITY OF NONLINEAR SPHERICAL MEMBRANE WITH LARGE DEFORMATION

Shang Xin-chun   

  1. Department of Mechanics, Lanzhou University, Lanzhou
  • Received:1990-09-22 Online:1991-10-18 Published:1991-10-18
  • Supported by:
    The Project supported by the National Natural Science Foundation of China

摘要: The problem on instability of nonlinear spherical membrane with large axisvmmelric tensile deformations is investigated by using the bifurcation theory. It is proved that all singular points of the nonlinear boundary value problem must be simple limit points. The effect of loading and material parameters on the equilibrium state and its stability is discussed.

关键词: hyperelasticity, bifurcation theory, effect of multiple parameters

Abstract: The problem on instability of nonlinear spherical membrane with large axisvmmelric tensile deformations is investigated by using the bifurcation theory. It is proved that all singular points of the nonlinear boundary value problem must be simple limit points. The effect of loading and material parameters on the equilibrium state and its stability is discussed.

Key words: hyperelasticity, bifurcation theory, effect of multiple parameters

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