Dynamical Formation of Cavity for Composed Thermal Hyperelastic Spheres in Non-Uniform Temperature Fields

CHENG Chang-jun; MEI Bo

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(4): 395-403

CHENG Chang-jun, MEI Bo. Dynamical Formation of Cavity for Composed Thermal Hyperelastic Spheres in Non-Uniform Temperature Fields[J]. Applied Mathematics and Mechanics, 2006, 27(4): 395-403.

Citation:

CHENG Chang-jun, MEI Bo. Dynamical Formation of Cavity for Composed Thermal Hyperelastic Spheres in Non-Uniform Temperature Fields[J]. Applied Mathematics and Mechanics, 2006, 27(4): 395-403.

Citation:

CHENG Chang-jun, MEI Bo. Dynamical Formation of Cavity for Composed Thermal Hyperelastic Spheres in Non-Uniform Temperature Fields[J]. Applied Mathematics and Mechanics, 2006, 27(4): 395-403.

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Dynamical Formation of Cavity for Composed Thermal Hyperelastic Spheres in Non-Uniform Temperature Fields

CHENG Chang-jun^1,2,
MEI Bo^1,2

1.
Department of Mechanics, Shanghai University, Shanghai 200072, P. R. China;

Received Date: 2004-06-30
Rev Recd Date: 2005-12-11
Publish Date: 2006-04-15

Abstract

Abstract

Dynamical formation and growth of cavity in a sphere composed of two incompressible thermal-hyperelastic Gent-Thomas materials are discussed under the case of a non-uniform temperature field and surface dead loading.The mathematical model was first presented based on the dynamical theory of finite deformations.An exact differential relation between the void radius and surface load was obtained by using the variable transformation method.By numerical computation,critical loads and cavitation growth curves were obtained for different temperatures.The influence of the temperature and material parameters of the composed sphere on the void formation and growth are considered and compared with that for static analysis.The results show that the cavity occurs suddenly with a finite radius and its evolvement with time displays a non-linear periodic vibration and that the critical load decreases with the increase of temperature and also the dynamical critical load is lower than the static critical load under the same conditions.

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References(16)

References

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