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一类可压缩超弹性球体的空穴的生成和增长
引用本文:袁学刚,朱正佑,程昌钧.一类可压缩超弹性球体的空穴的生成和增长[J].上海大学学报(英文版),2004,8(1).
作者姓名:袁学刚  朱正佑  程昌钧
摘    要:


Void Formation and Growth for a Class of Compressible Hyper-Elastic Sphere
YUAN Xue-gang,Zhu Zheng-you,Cheng Chang-jun.Void Formation and Growth for a Class of Compressible Hyper-Elastic Sphere[J].Journal of Shanghai University(English Edition),2004,8(1).
Authors:YUAN Xue-gang  Zhu Zheng-you  Cheng Chang-jun
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.
Keywords:Hyper-elastic material  strain energy function  void formation and growth  critical stretch
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