Exact solution of a plastic hollow sphere with a Mises–Schleicher matrix |
| |
| Authors: | Vincent Monchiet Djimedo Kondo |
| |
| Affiliation: | 1. Université Paris-Est, Modélisation et Simulation Multi Echelle, MSME UMR 8208 CNRS, 5 bd Descartes, 77454 Marne-la-Vallée, France;2. Institut Jean Le Rond d’Alembert, UPMC Univ Paris 06 (UMR 7190), 4 place Jussieu, 75252 Paris, France;3. Institut Jean Le Rond d’Alembert, CNRS (UMR 7190), 4 place Jussieu, 75252 Paris, France |
| |
| Abstract: | In this paper we establish the exact solution for a hollow sphere with a rigid-plastic pressure-sensitive matrix and subjected to hydrostatic tension or compression. The matrix is assumed to obey to a parabolic Mises–Schleicher criterion. The closed-form expressions of the velocity field and of the stress field are provided. These exact solutions, expressed by means of the Lambert W function, allow to assess and discuss existing results. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
