Tensile Instability of Nonlinear Spherical Membrane with Large Deformation

Shang Xin-chun

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Shang Xin-chun. Tensile Instability of Nonlinear Spherical Membrane with Large Deformation[J]. Applied Mathematics and Mechanics, 1991, 12(10): 927-933.

Citation:

Shang Xin-chun. Tensile Instability of Nonlinear Spherical Membrane with Large Deformation[J]. Applied Mathematics and Mechanics, 1991, 12(10): 927-933.

Citation:

Shang Xin-chun. Tensile Instability of Nonlinear Spherical Membrane with Large Deformation[J]. Applied Mathematics and Mechanics, 1991, 12(10): 927-933.

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Tensile Instability of Nonlinear Spherical Membrane with Large Deformation

Shang Xin-chun

Department of Mechanics, Lanzhou University, Lanzhou

Received Date: 1990-09-22
Publish Date: 1991-10-15

Abstract

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.
- hyperelasticity,
- bifurcation theory,
- effect of multiple parameters

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References(10)

References

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