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Indexed by:期刊论文

Date of Publication:2011-02-01

Journal:SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY

Included Journals:SCIE、EI

Volume:54

Issue:2

Page Number:303-309

ISSN No.:1674-7348

Key Words:dynamic cavitation; incompressible hyperelastic material; pre-strained circular sheet; nonlinearly periodic oscillation

Abstract: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 pre-strained sheet are obtained. The conditions of cavitated bifurcation that describe cavity formation and motion with time at the axial line of the pre-strained 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.