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.
Citation: 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.

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

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