Mechanical performance and negative pressure instability for venous walls

doi:10.1007/s10483-011-1469-8

Applied Mathematics and Mechanics (English Edition) ›› 2011, Vol. 32 ›› Issue (7): 917-924.doi: https://doi.org/10.1007/s10483-011-1469-8

Mechanical performance and negative pressure instability for venous walls

任九生^1,2

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

收稿日期:2010-12-24 修回日期:2011-01-14 出版日期:2011-07-03 发布日期:2011-07-03
基金资助:
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)

Mechanical performance and negative pressure instability for venous walls

REN Jiu-Sheng^1,2

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:2010-12-24 Revised:2011-01-14 Online:2011-07-03 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)

摘要/Abstract

摘要： 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.

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.

中图分类号:

74B20

任九生. Mechanical performance and negative pressure instability for venous walls[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(7): 917-924.

REN Jiu-Sheng. Mechanical performance and negative pressure instability for venous walls[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(7): 917-924.

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Mechanical performance and negative pressure instability for venous walls

Mechanical performance and negative pressure instability for venous walls

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