Cavitated Bifurcation for Incompressible Hyperelastic Material

REN Jiu-sheng; CHENG Chang-jun

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REN Jiu-sheng, CHENG Chang-jun. Cavitated Bifurcation for Incompressible Hyperelastic Material[J]. Applied Mathematics and Mechanics, 2002, 23(8): 783-789.

Citation:

REN Jiu-sheng, CHENG Chang-jun. Cavitated Bifurcation for Incompressible Hyperelastic Material[J]. Applied Mathematics and Mechanics, 2002, 23(8): 783-789.

Citation:

REN Jiu-sheng, CHENG Chang-jun. Cavitated Bifurcation for Incompressible Hyperelastic Material[J]. Applied Mathematics and Mechanics, 2002, 23(8): 783-789.

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Cavitated Bifurcation for Incompressible Hyperelastic Material

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

Received Date: 2001-03-20
Rev Recd Date: 2002-03-26
Publish Date: 2002-08-15

Abstract

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.
- incompressible hyperelastic material,
- void nucleation and growth,
- catastrophe and concentration of stress

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References(9)

References

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