Cylindrical Cavitation in a Class of Compressible Hyper-Elastic Materials

Abstract

The finite deformation about the radial direction is examined for a solid cylinder composed of a class of compressible hyper-elastic materials. Some interesting conclusions are proposed by using the theoretical solutions and the numerical simulations. There exists a critical stretch such that the cylinder would remain a solid one if the radial stretch does not exceed the critical value and that a cylindrical cavity would form at the axial line of the cylinder if the radial stretch exceeds the critical value. The phenomena of concentration and catastrophe of radial and circumferential stresses further show that cavitation in compressible hyper-elastic cylinder coincides with the actual physical grounds.