Void formation and growth for a class of compressible hyper-elastic sphere

Abstract

In this paper, the strain energy function proposed by Shang and Cheng was generalized by introducing a nonlinear term. Void formation and growth in the interior of a sphere composed of compressible hyper-elastic material, subjected to a prescribed uniform displacement, was examined. A parametric cavitated bifurcation solution for the radial deformed function was obtained. Stability of the solution of the cavitated bifurcation equation was discussed. With the appearance of a cavity, an interesting feature of the radial deformation near the deformed cavity wall is the transition from extension to compression.

Radially Symmetric Deformation of Spherical Shell Composed of Composite Compressible Hyperelastic Materials

“…This problem comes down to a class of boundary valued second order nonlinear differential equation or equations. Horgan, et al [1][2][3][4] studied the cavitation of compressible cylinder and sphere composed of different hyperelastic materials and discussed the influence of the material parameters and the stress distribution. Liao, et al [5] studied the compression and inflation of the compressible spherical shell composed of single hyperelastic material.…”