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

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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

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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