Cavity formation at the center of a sphere composed of two compressible hyper-elastic materials |
| |
Authors: | Ren Jiu-sheng Cheng Chang-jun Zhu Zheng-you |
| |
Institution: | 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China;
2. Department of Mechanics, Shanghai University, Shanghai 200436, P. R. China;
3. Department of Mathematics, Shanghai University, Shanghai 200436, P. R. China |
| |
Abstract: | The cavitated bifurcation problem in a solid sphere composed of two compressible hyper_elastic materials under a uniform boundary radial stretch was examined. The solutions, including the trivial solution and the cavitated solutions, were obtained. The bifurcation curves and the stress contributions subsequent to cavitation were discussed. The phenomena of the right and the left bifurcations as well as the catastrophe and concentration of stresses are observed. The stability of solutions is discussed through the energy comparison. |
| |
Keywords: | compressible hyper_elastic material cavitated bifurcation catastrophe and concentration of stress energy comparison |
本文献已被 CNKI 万方数据 SpringerLink 等数据库收录! |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |