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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 知识脉络  strain energy function 知识脉络  void formation and growth 知识脉络  critical stretch 知识脉络 
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:
 
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引证文献(7条) 
  1. 廖毕丰.刘鹏.袁学刚 一类可压缩的超弹性球壳的径向对称变形 [期刊论文] -吉林师范大学学报(自然科学版)2006(04)
  2. YUAN Xue-gang.Zhu Zheng-you.Cheng Chang-jun QUALITATIVE ANALYSIS OF DYNAMICAL BEHAVIOR FOR AN IMPERFECT INCOMPRESSIBLE NEO-HOOKEAN SPHERICAL SHELL [期刊论文] -应用数学和力学(英文版)2005(08)
  3. YUAN Xue-gang.Zhu Zheng-you QUALITATIVE STUDY OF CAVITATED BIFURCATION FOR A CLASS OF INCOMPRESSIBLE GENERALIZED NEO-HOOKEAN SPHERES [期刊论文] -应用数学和力学(英文版)2005(02)
  4. 袁学刚.朱正佑.程昌钧 具有缺陷的不可压缩neo-Hookean球壳的动力学行为的定性分析 [期刊论文] -应用数学和力学2005(08)
  5. 袁学刚.朱正佑 一类不可压广义neo-Hookean球体的空穴分岔问题的定性研究 [期刊论文] -应用数学和力学2005(02)
  6. 袁学刚 关于超弹性材料球体中空穴分岔问题的研究(Ⅱ) [期刊论文] -烟台大学学报(自然科学与工程版)2005(03)
  7. 臧明磊.魏平.叶圆圆 可压缩超弹性材料球体中预存微孔的增长 [期刊论文] -烟台大学学报(自然科学与工程版)2005(01)

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