Dynamical Formation of Cavity in a Composed Hyper-Elastic Sphere

REN Jiu-sheng; CHENG Chang-jun

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(11): 1117-1123

REN Jiu-sheng, CHENG Chang-jun. Dynamical Formation of Cavity in a Composed Hyper-Elastic Sphere[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1117-1123.

Citation:

REN Jiu-sheng, CHENG Chang-jun. Dynamical Formation of Cavity in a Composed Hyper-Elastic Sphere[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1117-1123.

Citation:

REN Jiu-sheng, CHENG Chang-jun. Dynamical Formation of Cavity in a Composed Hyper-Elastic Sphere[J]. Applied Mathematics and Mechanics, 2004, 25(11): 1117-1123.

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Dynamical Formation of Cavity in a Composed Hyper-Elastic Sphere

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

Received Date: 2003-02-20
Rev Recd Date: 2004-05-28
Publish Date: 2004-11-15

Abstract

Abstract

The dynamical formation of cavity in a hyper-elastic sphere composed of two materials with the incompressible strain energy function, subjected a suddenly applied uniform radial tensile boundary dead-load, was studied following the theory of finite deformation dynamics. Besides a trivial solution corresponding to the homogeneous static state, a cavity forms at the center of the sphere when the tensile load is larger than its critical value. It is proved that the evolution of cavity radius with time displays nonlinear periodic oscillations. The phase diagram for oscillation, the maximum amplitude, the approximate period and the critical load were all discussed.
- composed incompressible hyper-elastic materials,
- finite deformation dynamics,
- cavity formation,
- non-linear periodic oscillation

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References(12)

References

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