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)

[1]	Desch G W, Weizsacker H W. A model for passive elastic properties of rat vena cava[J].Journal of Biomechanics, 2007, 40(14): 3130-3145. doi: 10.1016/j.jbiomech.2007.03.028
[2]	卢峰，张成军，张吉平，戎志君，周华真，李增华，钟立国.下肢深静脉血栓形成的综合治疗[J].中国心血管病研究杂志, 2003, 1(2): 138-139.（LU Feng, ZHANG Cheng-jun, ZHANG Ji-ping, RONG Zhi-jun，ZHOU Hua-zhen，LI Zeng-hua，ZHONG Li-guo. Comprehensive treatment of deep venous thrombosis[J]. Chinese Journal of Cardiovascular Review, 2003, 1(2):138-139. (in Chinese)）
[3]	Hayashi K, Naiki T. Adaptation and remodeling of vascular wall: biomechanical response to hypertension[J]. Journal of the Mechanical Behavior of Biomedical Materials, 2009, 2(1): 3-19. doi: 10.1016/j.jmbbm.2008.05.002
[4]	廖东华, 韩海潮, 赵俊，黄民，匡震邦.自体静脉移植血管的应力应变关系及其相互组织形态学研究[J]. 中国生物医学工程学报, 2000, 19(3): 261-266.（LIAO Dong-hua, HAN Hai-chao, ZHAO Jun, HUANG Min，KUANG Zhen-bang. Stresses-strain relation of autogenous vein graft with histomorphology correlation[J]. Chinese Journal of Biomedical Engineering, 2000, 19(3): 261-266 (in Chinese)）
[5]	Chlup H, Horny L, Zitry R. Constitutive equations for human saphenous vein coronary artery bypass graft[J]. International Journal of Biological and Life Sciences, 2010, 6(4): 200-203.
[6]	Liao D H, Han H C, Huang M, Kuang Z, Zhao L. A study of stress-strain relation of autogenous vein grafts: circumferential versus longitudinal[J]. J Med Biomech, 1997, 12(3): 134-137.
[7]	Liu S Q, Fung Y C. Changes in the organization of the smooth muscle cell in rat vein grafts[J]. Journal of Biomechanical Engineering, 1998, 122(1): 31-38.
[8]	Azuma T, Hagegawa M. Distensibility of the vein: from the architectural point of view[J]. Biocheology, 1973, 10(3): 469-479.
[9]	Sahanishi A, Hagegawa M, Dobashi T. Distensibility characteristics of caval veins and empirical exponential formulae[J]. Biocheology, 1988, 25(1/2): 165-172.
[10]	Gusic R J, Petho M, Myung R, Gagner J W, Gooch K J. Mechanical properties of native and ex vivo remodeled porcine saphenous veins[J]. Journal of Biomechanics, 2005, 38 (9): 1770-1779. doi: 10.1016/j.jbiomech.2005.04.002
[11]	Alastue V, Penn E, Martinez M A, Doblaré M. Experimental study and constitutive modeling of the passive mechanical properties of the vine infrarenal vena cava tissue[J]. Journal of Biomechanics, 2008, 41(14): 3038-3045. doi: 10.1016/j.jbiomech.2008.07.008
[12]	Humphrey J D. Cardiovascular Solid Mechanics, Cells, Tissures and Organs[M]. New York: Springer-Verlag, 2002.
[13]	Holzapfel G A, Ogden R W. Constitutive modeling of arteries[J]. Proc R Soc A, 2010, 466(2118): 1551-1597. doi: 10.1098/rspa.2010.0058