Dynamical cavitation for incompressible hyper-elasticmaterials under periodic loadRen Jiushenga Shen Jiachenga Yuan Xuegangb

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Journal of Vibration and Shock ›› 2012, Vol. 31 ›› Issue (18) : 10-13.

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Dynamical cavitation for incompressible hyper-elasticmaterials under periodic loadRen Jiushenga Shen Jiachenga Yuan Xuegangb

Ren Jiushenga Shen Jiachenga Yuan Xuegangb

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Abstract

Dynamical cavitation for an incompressible hyper-elastic sphere subjected to the periodic tensile load is examined within finite elasto-dynamics. Displacement response curves, power spectrum curves, phase portraits and Poincare maps are given by numerical computation. It is shown that there exists a critical value for the mean load of the periodic load. When the mean load is less than this critical value, the sphere remains undeformed. However, when it is larger than this critical value, a spherical cavity will suddenly be formed at the center of the sphere and the evolution of the cavity with time follows that of quasi-periodic oscillations

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incompressible hyper-elastic sphere / cavitation / periodic load / quasi-periodic oscillation

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Ren Jiushenga Shen Jiachenga Yuan Xuegangb. Dynamical cavitation for incompressible hyper-elasticmaterials under periodic loadRen Jiushenga Shen Jiachenga Yuan Xuegangb[J]. Journal of Vibration and Shock, 2012, 31(18): 10-13