Cavity Formation at the Center of a Sphere Composed of Two Compressible Hyper-Elastic Materials

REN Jiu-sheng; CHENG Chang-jun; ZHU Zheng-you

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(9): 892-898

REN Jiu-sheng, CHENG Chang-jun, ZHU Zheng-you. Cavity Formation at the Center of a Sphere Composed of Two Compressible Hyper-Elastic Materials[J]. Applied Mathematics and Mechanics, 2003, 24(9): 892-898.

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Cavity Formation at the Center of a Sphere Composed of Two Compressible Hyper-Elastic Materials

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P.R.China;
2.
Department of Mechanics, Shanghai University, Shanghai 200436, P.R.China;
3.
Department of Mathematics, Shanghai University, Shanghai 200436, P.R.China

Received Date: 2002-04-15
Rev Recd Date: 2003-03-25
Publish Date: 2003-09-15

Abstract

Abstract

The cavitated bifurcation problem in a solid sphere composed of two compressible hyper-elastic materials under a uniform boundary radial stretch was examined. The solutions, including the trivial solution and the cavitated solutions, were obtained. The bifurcation curves and the stress contributions subsequent to cavitation were discussed. The phenomena of the right and the left bifurcations as well as the catastrophe and concentration of stresses are observed. The stability of solutions is discussed through the energy comparison.
- compressible hyper-elastic material,
- cavitated bifurcation,
- catastrophe and concentration of stress,
- energy comparison

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References(9)

References

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