静脉壁的力学特性及负压失稳问题

任九生

doi:10.3879/j.issn.1000-0887.2011.07.009

静脉壁的力学特性及负压失稳问题

doi: 10.3879/j.issn.1000-0887.2011.07.009

任九生

上海市力学在能源工程中的应用重点实验室,上海大学力学系,上海 200444

基金项目: 国家自然科学基金资助项目(10772104;10872045);上海市教委科研创新项目(09YZ12);上海市重点学科建设资助项目(S30106)

详细信息

作者简介:
任九生(1970),男,副教授,博士(E-mai:ljsren@shu.edu.cn).

中图分类号: O343
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- 被引次数: 0
出版历程
- 收稿日期: 2010-12-24
- 修回日期: 2011-04-17
- 刊出日期: 2011-07-15

Mechanical Performance and Negative Pressure Instability for Venous Walls

REN Jiu-sheng

Shanghai Key Laboratory of Mechanics in Energy and Environment Engineering, Department of Mechanics, Shanghai University, Shanghai 200444, P. R. China

摘要

摘要: 应用一类超弹性应变能函数，通过非线性弹性理论，研究了静脉壁在跨壁压及轴向拉伸联合作用下的变形和应力分布等力学特性，并分析了静脉壁的负压失稳问题．首先利用超弹性材料薄壁圆筒模型，得到了静脉壁在跨壁压及轴向拉伸联合作用下的变形方程，给出了正常静脉压下静脉壁的变形曲线和应力分布曲线，讨论了静脉壁的变形和应力分布规律．然后给出了负跨壁压下静脉壁的变形曲线，并由能量比较讨论了静脉壁的负压失稳问题．
- 静脉壁 /
- 超弹性应变能函数 /
- 变形和应力 /
- 负压失稳
Abstract: Mechanical properties, such as the deformation and stress distributions for venous walls under the combined loadings of transmural pressure and axial stretch were examined with in the framework of nonlinear elasticity with one kind of hyper-elastic strain energy function. The negative pressure ins tability problem of the venous wall was explained through energy comparison. The deformation equation of the venous wall under the combined loads was obtained with a thin-walled circularcy lindrical tubeat first. The deformation curves and the stress distributions for the venous wall were given under the normal transmural pressure, and the regulations were discussed. Then, the deformation curves of the venous wall under negative transmural pressure, or when the in ternal pressure was less than the external pressure, were given. Finally, the negative pressure in stability problem was discussed through energy comparison.
- venous wall /
- hyper-elastic stra in energy function /
- deformation and stress distribution /
- negative pressure in stability

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参考文献(13)

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