Mechanical performance and negative pressure instability for venous walls  

作　　者：任九生 

机构地区：[1]Shanghai Key Laboratory of Mechanics in Energy Engineering,Shanghai University [2]Department of Mechanics,College of Sciences,Shanghai University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2011年第7期917-924,共8页应用数学和力学（英文版）

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

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.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.

关 键 词：venous wall hyper-elastic strain energy function deformation and stressdistribution negative pressure instability 

分 类 号：R312[医药卫生—基础医学]