Cavity formation at the center of a sphere composed of two compressible hyper-elastic materials

被引：0
|
作者：
Ren Jiu-sheng
Cheng Chang-jun
Zhu Zheng-you
机构：
[1] Shanghai Institute of Applied Mathematics and Mechanics,Department of Mechanics
[2] Shanghai University,Department of Mathematics
[3] Shanghai University,undefined
来源：
Applied Mathematics and Mechanics | 2003年 / 24卷 / 9期
关键词：
compressible hyper-elastic material; cavitated bifurcation; catastrophe and concentration of stress; energy comparison; O343; 74B20;
D O I：
10.1007/BF02437633
中图分类号：
学科分类号：
摘要：
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.
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页码：1009 / 1016
页数：7
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