Research on Small Strain Mathematics Model of Vessel Wall

WANG You-sheng

doi:10.3969/j.issn.0372-2112.2014.10.034

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Research on Small Strain Mathematics Model of Vessel Wall

更新时间：2025-07-16

- Research on Small Strain Mathematics Model of Vessel Wall
- Acta Electronica Sinica Vol. 42, Issue 10, Pages: 2086-2091(2014)
- 作者机构：
  
  1. 北京工业大学电子信息与控制工程学院,北京,100124
  2. 北京工业大学电子信息与控制工程学院,北京,100124
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0372-2112.2014.10.034
  CLC： TP391
- Published：2014
- 稿件说明：
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WANG You-sheng. Research on Small Strain Mathematics Model of Vessel Wall[J]. Acta Electronica Sinica, 2014, 42(10): 2086-2091.
DOI：

WANG You-sheng. Research on Small Strain Mathematics Model of Vessel Wall[J]. Acta Electronica Sinica, 2014, 42(10): 2086-2091. DOI： 10.3969/j.issn.0372-2112.2014.10.034.

摘要

分析血管壁的弹性形变

对心血管疾病的临床诊治和手术方案选择有重要意义.在进行合理假设的前提下

首先建立微元线段的小应变分析模型

再利用有限元分析方法将血管壁区域划分为若干三角形面微元

用三角形的三个顶点和三条边的位移函数导出三角形微元域的形变模型

通过模型计算结果分析及有效性验证表明:血管壁小应变力学模型具有较好的适用性和实用性.与文献方法相比

最后呈现的结果不仅能计算出应变大小

还能显示应变方向

而且分别给出三个方向的应变值.

Abstract

It has a great significance to analyze the elastic deformation of the vessel wall for cardiovascular diseases' clinical treatment and the selection of the surgical plan.On the premise of making reasonable assumptions

firstly

establish the deformation model of infinitesimal's displacement.Secondly

use the finite element analysis method to divide the area of the vessel wall into a number of triangular surface infinitesimal

export the triangular surface deformation model by the displacement functions of triangle's three vertices and three sides.Finally

this deformation model is verified by simulation

compared with the literature methods

this method shows that it is able to not only calculate the size but also show the direction of the strain and give the results of the strain in three directions.

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Related Institution

School of Biomedical Engineering, Southern Medical University

Guangdong Provincial Key Laboratory of Medical Image Processing, Southern Medical University

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School of Biomedical Engineering Southern Medical University Guangzhou Guangdong China

Guangdong Provincial Key Laboratory of Medical Image Processing Southern Medical University Guangzhou Guangdong China

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