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
期 刊：	上海大學學報(英文版)
Journal：	JOURNAL OF SHANGHAI UNIVERSITY(ENGLISH EDITION)
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