不可压超弹塑性材料中空穴的静、动生成问题

1 Introduction Cavitation phenomenon,i.e.,the sudden forma-tion of void , has been observed in a wide variety ofmetals and alloys1].It has also been observed in rub-ber2]and elastomers3].As cavitation phenomenon re-lates to the mechanism of local failu…

Static and dynamical cavitation for incompressible hyperelastic-plastic material

Bifurcation problems both for static and dynamical cavitation in a solid sphere composed of the incompressible hyperelastic-plastic material, under uniformly distributed tensile boundary dead load were studied. For each problem, cavity forms at the center of the sphere when the tensile load is larger than its critical value. Bifurcation curves and the growth curves for the plastic deformation region were given. For static cavitation, the deformation displays three stages, namely, fully elastic, elasto-plastic and fully plastic stages . For dynamical cavitation, the cavity grows without bound and the sphere displays plastic flow.