摘要
研究了一种不可压Valanis_Landel材料超弹性球体在表面死载荷作用下的球形空穴的分叉问题· 给出了空穴分叉问题的解析解 ,讨论了空穴生成时的应力间断和应力集中问题· 通过能量比较判断了解的稳定性 ,并分析了球体中预存微孔的增长情况·
The spherical cavitated bifurcation for a hyperelastic solid sphere made of the incompressible Valanis_Landel material under boundary dead_loading is examined. The analytic solution for the bifurcation problem is obtained. The catastrophe and concentration of stresses are discussed. The stability of solutions is discussed through the energy comparison. And the growth of a pre_existing micro_void is also observed.
出处
《应用数学和力学》
EI
CSCD
北大核心
2002年第8期783-789,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金资助项目 (1980 2 0 2 1)
关键词
不可压超弹性材料
空穴生成和增长
应力间断
应力集中
incompressible hyperelastic material
void nucleation and growth
catastrophe and concentration of stress
