A numerical study on dynamics of cavity growth in nonlinear elasticity

Abstract

A dynamic cavity growth problem in an isotropic compressible nonlinear hyper-elastic material subject to a gradually applied traction is numerically studied. The effects of three parameters, namely the material mass density, the maximum traction, and the loading rate, on the evolution of the cavity radius, especially the maximum cavity radius, are investigated. The numerical results show that, while both the inertia and loading rate have only marginal effect on the onset of cavitation, they do significantly affect the maximum cavity radius. Furthermore, the applied traction eventually leads to a periodic oscillatory cavity growth, and a square root power law for the vibration period as a function of the material mass density is found to hold.