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超弹性材料中的球形空穴分叉
引用本文:尚新春,程昌钧.超弹性材料中的球形空穴分叉[J].力学学报,1996,28(6):751-755.
作者姓名:尚新春  程昌钧
作者单位:兰州大学力学系
基金项目:国家自然科学基金,教委博士点基金
摘    要:首先给出了超弹性材料球形空穴分叉问题的数学提法;其次给出了修正Blatz-Ko材料球形空穴分叉问题的两个新的精确解,并计算了空穴生成时,空穴附近的应力集中因子和应力间断,最后数值计算了空穴分支解

关 键 词:弹性材料  超弹性材料  空穴分叉  精确解  应力集中

THE SPHERICAL CAVITATION BIFURCATION IN SUPERELASTIC MATERIALS
Shang Xinchun,Cheng Changjun.THE SPHERICAL CAVITATION BIFURCATION IN SUPERELASTIC MATERIALS[J].chinese journal of theoretical and applied mechanics,1996,28(6):751-755.
Authors:Shang Xinchun  Cheng Changjun
Abstract:The problem for spherical cavitation bifurcations in superealstic materials is formulated in the first section of the paper. Then, two new exact solutions of the spherical cavitation bifurcation for the modified Blatz Ko material are obtained. The stress concentration factor and discontinuity at the vavitation are given when the cavity appears. Finally, the cavitation bifurcation solutions are numerically computed. One can see that the stress concentration near the cavitation is an important cause of the growth of the cavitation.
Keywords:superelastic material  cavitation bifurcation  exact solution  stress concentration and discontinuity  
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