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Indexed by:期刊论文

Date of Publication:2009-02-01

Journal:CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES

Included Journals:SCIE

Volume:40

Issue:3

Page Number:201-224

ISSN No.:1526-1492

Key Words:Incompressible hyperelastic material; motion equation of pre-existing micro-void; dynamic load; nonlinearly periodic oscillation

Abstract:The radially symmetric motion of the pre-existing micro-void centered at an incompressible hyperelastic sphere under the dynamic surface tensile loads relating to time is investigated in this paper. Some interesting conclusions are obtained by qualitatively analyzing the solutions of the motion equation of micro-void in detail; meanwhile, numerical simulations are used for understanding the obtained conclusions. In particular, it is proved that the motion of the micro-void with time would present a nonlinearly periodic oscillation if the values of the constant tensile load, the material and the structure parameters are given and that the oscillation amplitudes of the micro-void are discontinuous in some special cases; under the generalized dynamic surface tensile loads relating to time, the necessary conditions of the nonlinearly periodic oscillation of the micro-void are proposed by using the symmetric principle and the connecting rule of the phase diagrams of the differential equation that governs the motion of the pre-existing micro-void.