首頁 > 期刊首頁 > 上海大學學報(英文版) > 2004年1期 > 一類可壓縮超彈性球體的空穴的生成和增長
一類可壓縮超彈性球體的空穴的生成和增長
Void Formation and Growth for a Class of Compressible Hyper-Elastic Sphere
- doi:
- Abstract:
- 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: |
袁學剛[1] 朱正佑[2] 程昌鈞[2] |
| Author: |
YUAN Xue-gang[1] Zhu Zheng-you[2] Cheng Chang-jun[2] |
| 作者單位: |
- 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
- Shanghai Institute of Applied Mathematics and Mechanics, College of Sciences, Shanghai University, Shanghai 200072,P.R. China
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| 期 刊: |
上海大學學報(英文版)
|
| Journal: |
JOURNAL OF SHANGHAI UNIVERSITY(ENGLISH EDITION)
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| 年,卷(期): |
2004, 8(1) |
| 分類號: |
O29 |
| Keywords: |
Hyper-elastic material
strain energy function
void formation and growth
critical stretch
|
| 機標分類號: |
TG1 O34 |
| 機標關鍵詞: |
壓縮超彈性 球體 空穴的生成 增長 strain energy function formation and growth bifurcation solution bifurcation equation nonlinear term |
| 基金項目: |
國家自然科學基金 |
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