Instability of Toroidal Membrane with Large Tensile Deformation

Shang Xin-chun; Cheng Chang-jun

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Shang Xin-chun, Cheng Chang-jun. Instability of Toroidal Membrane with Large Tensile Deformation[J]. Applied Mathematics and Mechanics, 1991, 12(6): 523-530.

Citation:

Shang Xin-chun, Cheng Chang-jun. Instability of Toroidal Membrane with Large Tensile Deformation[J]. Applied Mathematics and Mechanics, 1991, 12(6): 523-530.

Citation:

Shang Xin-chun, Cheng Chang-jun. Instability of Toroidal Membrane with Large Tensile Deformation[J]. Applied Mathematics and Mechanics, 1991, 12(6): 523-530.

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Instability of Toroidal Membrane with Large Tensile Deformation

Department of Mechanics, Lanzhou University, Lanzhou

Received Date: 1990-09-22
Publish Date: 1991-06-15

Abstract

Abstract

In this paper, the problem of large axisymmetric deformation of hyperelastic membrane is reformulated on the basis of the general theory of finite elasticity. From the fundamental equations derived here, the tensile instability of toroidal rubberlike membrane with Mooney-Rivlin's model constitutive relation is solved by using the shooting method. The upper and lower limit loads and the response curve of the displacement to the load are given.
- hyperelasticity,
- large deformation,
- fundamental equation,
- shooting method,
- tensile instability

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References(8)

References

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