超弹性材料中的球形空穴分叉  

THE SPHERICAL CAVITATION BIFURCATION IN SUPERELASTIC MATERIALS

作　　者：尚新春[1] 程昌钧[1] 

机构地区：[1]兰州大学力学系

出　　处：《力学学报》1996年第6期751-755,共5页Chinese Journal of Theoretical and Applied Mechanics

基　　金：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。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.

关 键 词：弹性材料 超弹性材料 空穴分叉 精确解 应力集中 

分 类 号：TB390.1[一般工业技术—材料科学与工程]