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

• Published in: Journal of Shanghai University Vol. 8; no. 1; pp. 13 - 18
• Main Author: 袁学刚 朱正佑 程昌钧
• Format: Journal Article
• Language: English
• Published: 01.03.2004
• Subjects: 工程材料; 应变能函数; 空洞形成; 空穴生长; 超弹性球体
• ISSN: 1007-6417; 1863-236X
• DOI: 10.1007/s11741-004-0004-8

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.