残余应力对脉搏波速度与动脉血压之间关系的影响  

The effect of residual stresses on the relation between pulse wave velocity and blood pressure in arteries

作　　者：张艺星 吕文瀚 师明星 马寅佶 冯雪 Yixing Zhang;Wenhan Lyu;Mingxing Shi;Yinji Ma;Xue Feng(School of Mechanics and Aerospace Engineering,Southwest Jiaotong University,Chengdu 610031,China;Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province,Southwest Jiaotong University,Chengdu 610031,China;Key Laboratoryof Applied Mechanics,Deparment of Engineering Mechanics,Tsinghua University Bejing 00084,China;Laboratory of Flexible Electronics Technology,Tsinghua University,Bejing 100084,China)

机构地区：[1]School of Mechanics and Aerospace Engineering,Southwest Jiaotong University,Chengdu 610031,China [2]Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province,Southwest Jiaotong University,Chengdu 610031,China [3]Key Laboratoryof Applied Mechanics,Deparment of Engineering Mechanics,Tsinghua University Bejing 00084,China [4]Laboratory of Flexible Electronics Technology,Tsinghua University,Bejing 100084,China

出　　处：《Acta Mechanica Sinica》2023年第9期141-148,共8页力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.U20A6001,11972207,11921002).

摘　　要：通过脉搏波速度实时监测人体血压波动是目前先进的无创连续血压监测技术.以前研究中脉搏波速度和血压间的理论关系没有考虑到残余应力的影响,这会使结果不准确,特别是没有考虑动脉轴向的残余应力.本文为脉搏波速度-血压关系建立了一个新的分析模型,它考虑了残余应力以及动脉的几何和材料参数对波速的影响.此外,在人体血压范围内将含有残余应力的脉搏波速度-血压关系被证明可以简化为二次函数,并详细讨论了残余应力、动脉的几何和材料参数对函数影响.Real-time monitoring of human blood pressure by pulse wave velocity is an advanced noninvasive measurement technology.The previous theory of the relationship between pulse wave velocity and blood pressure did not take the effect of the residual stresses into account,which may make the relationship inaccurate,especially for the residual stresses along the axial direction of arteries.This paper establishes a new analytical model for the relationship between pulse wave velocity and blood pressure,which accounts for the residual stresses,together with geometric and material parameters of arteries.Furthermore,at the range of human blood pressure,the relationship between pulse wave velocity and blood pressure that take residual stresses into account is proven to be an approximate quadratic function.And the effect of the residual stresses and geometric and material parameters of arteries on the relationship in the form of quadratic functions are discussed in detail.

关 键 词：脉搏波速度 人体血压 残余应力 二次函数 血压波动 动脉血压 血压监测 材料参数 

分 类 号：TG113[金属学及工艺—物理冶金]