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《Chinese Quarterly of Mechanics》 2008-03
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Cavitation and Bifurcation in an Incompressible Composite Sphere

WANG Yong~(1,2) TANG Li-qiang~1 WU Guo-hui~1 BIAN Ke~1 1.College of Aerospace and Civil Engineering,Harbin Engineering University,Harbin 150001,China 2.Spacecraft Assemble and Environment Engineering Department,China Academy of Space Technology,Beijing 100094,China  
Based of the finite deformation elastic-plastic theory and the hyperelastic theory,formation of a cavity in a solid sphere composed of incompressible elastic linear-hardening and hyperelastic materials sub- jected to a radial tensile dead load on the boundary was examined.The relationship between dead load and radius of the cavity was determined and the stress distributions were also obtained.At the same time,the influences of material's hardening parameter on the dead load and the stress distribution were given.The results indicated that the cavity took place abruptly as a finite radius and it had a upper bound and a lower limit,that the dead load decreased firstly,then increased with the increment of the radius of cavitation, and that on the surface of the formed cavitation the radial stress was zero while the circumferential stress was infinity.In fact,this kind of stress concentration lead to the emergence of the cavitation.The results here may be helpful as a theoretical reference in the plasticizing technology of rubber materials.
【CateGory Index】: O343
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