超弹性-塑性材料中空穴的动生成

Dynamical Cavitation for Hyperelastic-plastic Materials

研究不可压超弹性-塑性材料球体中空穴的动生成问题,采用不可压neo-Hookean超弹性材料和满足不可压条件与Tresca屈服条件的理想塑性材料来描述材料的弹塑性。当球体表面突加载荷超过其临界值时,球体内部有空穴的突然生成,并随时间无限制地增长。

Dynamical cavitation for an incompressible hyperelastic-plastic material sphere is studied. For the elastic deformation, neo-Hookean material is applied and for the plastic deformation, perfect plastic is applied which satisfied the incompressible condition and Tresca condition.When the suddenly applied load is larger than its critical value, a cavity forms at the center of the sphere and grows without bound.