New exact solutions in non-linear elasticity |
| |
| Authors: | K.R. Rajagopal A.S. Wineman |
| |
| Affiliation: | 1. Department of Mechanical Engineering, University of Pittsburgh, Pittsburgh, PA 15261, U.S.A.;2. Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109, U.S.A. |
| |
| Abstract: | In this work, we establish several new exact solutions to boundary value problems in non-linear elasticity. We show that in the case of the torsion of a slab, in addition to the classic torsion solution, there exist an infinity of solutions which are not symmetric. We study several associated boundary value problems. We also show that a nonlinearly elastic slab can exhibit nonuniform uniaxial extension solutions, in addition to the classic uniform uniaxial extension solution. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
