一类可压缩超弹性球体的空穴的生成和增长

Void Formation and Growth for a Class of Compressible Hyper-Elastic Sphere

In this paper, the strain energy function proposed by Shang and Cheng was generalized by introducing a nonlinear term.Void formation and growth in the interior of a sphere composed of compressible hyper-elastic material, subjected to a prescribed uniform displacement, was examined.A parametric cavitated bifurcation solution for the radial deformed function was obtained.Stability of the solution of the cavitated bifurcation equation was discussed.With the appearance of a cavity, an interesting feature of the radial deformation near the deformed cavity wall is the transition from extension to compression.

作 者：

袁学刚 朱正佑 程昌钧 YUAN Xue-gang Zhu Zheng-you Cheng Chang-jun  

作者单位：

袁学刚,YUAN Xue-gang(Shanghai Institute of Applied Mathematics and Mechanics, College of Sciences, Shanghai University, Shanghai 200072,P.R. China;Department of Mathematics and Informational Science, Yantai University, Yantai 264005, P.R. China)
朱正佑,程昌钧,Zhu Zheng-you,Cheng Chang-jun(Shanghai Institute of Applied Mathematics and Mechanics, College of Sciences, Shanghai University, Shanghai 200072,P.R. China) 

刊 名：

上海大学学报(英文版) 

英文刊名：

JOURNAL OF SHANGHAI UNIVERSITY(ENGLISH EDITION) 

年，卷(期)：

2004 8(1) 

分类号：

O29 

关键词：

Hyper-elastic material   strain energy function   void formation and growth   critical stretch  

机标分类号：

TG1 O34 

机标关键词：

压缩超弹性球体空穴的生成增长strain energy functionformation and growthbifurcation solutionbifurcation equationnonlinear term 

基金项目：

国家自然科学基金 

DOI：