Mechanical performance and negative pressure instability for venous walls

REN Jiu-Sheng

doi:10.1007/s10483-011-1469-8

Applied Mathematics and Mechanics >

2011 , Vol. 32 >Issue 7: 917 - 924

DOI: https://doi.org/10.1007/s10483-011-1469-8

Articles

Mechanical performance and negative pressure instability for venous walls

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1. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, P. R. China;
2. Department of Mechanics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China

Received date: 2010-12-24

Revised date: 2011-01-14

Online published: 2011-07-03

Supported by

Project supported by the National Natural Science Foundation of China (Nos. 10772104 and 10872045), the Innovation Project of Shanghai Municipal Education Commission (No. 09YZ12), and the Shanghai Leading Academic Discipline Project (No. S30106)

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Abstract

Mechanical properties, such as the deformation and stress distributions for venous walls under the combined load of transmural pressure and axial stretch, are examined within the framework of nonlinear elasticity with one kind of hyper-elastic strain energy functions. The negative pressure instability problem of the venous wall is explained through energy comparison. First, the deformation equation of the venous wall under the combined loads is obtained with a thin-walled circular cylindrical tube. The deformation curves and the stress distributions for the venous wall are given under the normal transmural pressure, and the regulations are discussed. Then, the deformation curves of the venous wall under the negative transmural pressure or the internal pressure less than the external pressure are given. Finally, the negative pressure instability problem is discussed through energy comparison.

Cite this article

REN Jiu-Sheng . Mechanical performance and negative pressure instability for venous walls[J]. Applied Mathematics and Mechanics, 2011 , 32(7) : 917 -924 . DOI: 10.1007/s10483-011-1469-8

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