不可压超弹性材料中的空穴分叉

基金项目: 国家自然科学基金资助项目(19802021)

Cavitated Bifurcation for Incompressible Hyperelastic Material

Institute of Applied Mathematics and Mechanics; Department of Mechanics, Shanghai University, Shanghai 200072, P.R.China

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。
- 不可压超弹性材料 /
- 空穴生成和增长 /
- 应力间断和应力集中
Abstract: 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.
- incompressible hyperelastic material /
- void nucleation and growth /
- catastrophe and concentration of stress

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