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Cavitated bifurcation for incompressible hyperelastic material

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Abstract

The spherical cavitated bifurcation for a hyperelastic solid sphere made of the incompressible Valanis-Landel material under boundary dead-loading is examined. The analytic solution for the bifurcation problem is obtained. The catastrophe and concentration of stresses are discussed. The stability of solutions is discussed through the energy comparison. And the growth of a pre-existing micro-void is also observed.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics; Department of Mechanics, Shanghai University, 200072, Shanghai, P R China

    Ren Jiu-sheng Doctor & Cheng Chang-jun

Authors
  1. Ren Jiu-sheng Doctor
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  2. Cheng Chang-jun
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Additional information

Contributed by CHENG Chang-jun

Foundation item: the National Natural Science Foundation of China (19802021)

Biography: REN Jiu-sheng (1970-)

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Jiu-sheng, R., Chang-jun, C. Cavitated bifurcation for incompressible hyperelastic material. Appl Math Mech 23, 881–888 (2002). https://doi.org/10.1007/BF02437792

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  • DOI: https://doi.org/10.1007/BF02437792

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