Dynamical cavitation and oscillation of an anisotropic incompressible hyper-elastic sphere  

作　　者：REN JiuSheng LI HanHai YUAN XueGang CHENG ChangJun 

机构地区：[1]Department of Mechanics,Shanghai Key Laboratory of Mechanics in Energy and Environment Engineering,Shanghai University,Shanghai 200444,China [2]College of Science,Dalian Nationalities University,Dalian 116600,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2012年第5期822-827,共6页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos.10772104 and 10872045);the innovation project of Shanghai Municipal Education Commission (Grant No.09YZ12);Shanghai Leading Academic Discipline Project (Grant No.S30106)

摘　　要：Dynamical cavitation and oscillation of an anisotropic two-family fiber-reinforced incompressible hyper-elastic sphere subjected to a suddenly applied constant boundary dead load are examined within the framework of finite elasto-dynamics.An exact differential equation between the radius of the cavity and the applied load is obtained.The curves for the variation of the maximum radius of the cavity with the load and the phase diagrams are obtained by vibration theories and numerical computation.It is shown that there exists a critical value for the applied load.When the applied load is larger than the critical value,a spherical cavity will suddenly form at the center of the sphere.It is proved that the evolution of the cavity radius with time follows that of nonlinear periodic oscillation,and oscillation of the anisotropic sphere is not the same as that of the isotropic sphere.Dynamical cavitation and oscillation of an anisotropic two-family fiber-reinforced incompressible hyper-elastic sphere subjected to a suddenly applied constant boundary dead load are examined within the framework of finite elasto-dynamics. An exact differential equation between the radius of the cavity and the applied load is obtained. The curves for the variation of the maximum radius of the cavity with the load and the phase diagrams are obtained by vibration theories and numerical computa- tion. It is shown that there exists a critical value for the applied load. When the applied load is larger than the critical value, a spherical cavity will suddenly form at the center of the sphere. It is proved that the evolution of the cavity radius with time follows that of nonlinear periodic oscillation, and oscillation of the anisotropic sphere is not the same as that of the isotropic sphere.

关 键 词：dynamical cavitation fiber-reinforced incompressible hyper-elastic sphere finite elasto-dynamics nonlinear periodic oscillation 

分 类 号：O343.8[理学—固体力学] P433[理学—力学]