Dynamic cavitations in incompressible hyperelastic pre-strained circular sheets
A class of dynamic cavitations is examined for an isotropic incompressible hyperelastic circular sheet under a pre-strained state caused by an initially applied finite radial tension. The solutions that describe the radially symmetric motion of the prestrained sheet are obtained. The conditions of cavitated bifurcation that describe cavity formation and motion with time at the axial line of the prestrained sheet are proposed, that is to say, a circular cavity will form if the suddenly applied radial tensile load exceeds a certain critical value; dynamically, it is proved that the formed cavity will present a nonlinearly periodic oscillation, which is essentially different from the singular periodic oscillation of the formed cavity in an incompressible hyperelastic solid sphere. Numerical simulations show the effects of prescribed radial tension, material parameter and tensile load on critical tensile load describing cavity formation and periodic oscillation of the pre-strained circular sheet.
dynamic cavitation incompressible hyperelastic material pre-strained circular sheet nonlinearly periodic oscillation
YUAN XueGang ZHANG HongWu ZHANG WenZheng ZHAO Wei Dong Bin
School of Science, Dalian Nationalities University, Dalian 116600, China State Key Laboratory of Str State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mech School of Science, Dalian Nationalities University, Dalian 116600, China
国际会议
北京
英文
303-309
2010-04-27（万方平台首次上网日期，不代表论文的发表时间）