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Instability of toroidal membrane with large tensile deformation

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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.

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Authors and Affiliations

  1. Department of Mechanics, Lanzhou University, Lanzhou

    Shang Xin-chun & Cheng Chang-jun

Authors
  1. Shang Xin-chun
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  2. Cheng Chang-jun
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Additional information

Communicated by Chen Zhi-da

The project supported by the State Education Commisson of the People's Republic of China

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Xin-chun, S., Chang-jun, C. Instability of toroidal membrane with large tensile deformation. Appl Math Mech 12, 557–564 (1991). https://doi.org/10.1007/BF02015569

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  • DOI: https://doi.org/10.1007/BF02015569

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