Published In
Wilmanski's Anniversary Volume, WIAS
Document Type
Article
Publication Date
1-1-2000
Subjects
Cavitation, Deformations (Mechanics), Inhomogeneous materials, Symmetric functions
Abstract
A class of non-spherically symmetric deformations of a neo-Hookean incompressible elastic ball is considered. It is shown that the only possible solution, the cavitated radially symmetric solution and the deformation of radial inflation and polar stretching. These are the same solutions as found by Polignone-Warne and Warne [6] for a smaller class of deformations. This fact shows once again that the radial deformations are the only deformations, at least within the class considered, which may support a formation of a cavity in the center of an incompressible, isotropic, elastic sphere.
Persistent Identifier
https://archives.pdx.edu/ds/psu/29883
Citation Details
Marek Elźanowski. (2000). "About Non-Spherically Symmetric Deformations of an Incompressible Neo-Hookean Sphere" Wilmanski's Anniversary Volume, WIAS, 68-72.