张善元,张涛,杨芳.动脉血管中非线性压力波的传播[J].医用生物力学,2010,25(1):63-67
动脉血管中非线性压力波的传播
Propagation of nonlinear pressure wave in artery vessels
  
DOI:10.3871/j.1004-7220.2010.01.67.
中文关键词:  动脉  血管  非线性  约化摄动法  孤波解
英文关键词:Artery  Vessels  Nonlinear  Reductive perturbation method  Solitary wave solutions
基金项目:国家自然科学基金资助项目(10772129)
作者单位
张善元 太原理工大学 应用力学与生物医学工程研究所 
张涛 太原理工大学 应用力学与生物医学工程研究所 
杨芳 太原理工大学 应用力学与生物医学工程研究所 
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中文摘要:
      目的 本文建立了人体动脉血管中血液流动的力学模型,研究了血管中非线性压力波的传播。方法 采用H. Demiray建议的本构关系,计算大变形效应,在现时构形上建立了径向运动方程。 结果 采用约化摄动法由支配血液流动与管壁耦合系统的非线性偏微分方程组得到了KdV方程。结论 在一定条件下系统可能存在着精确周期波解或孤波解。
英文摘要:
      Objective The mechanical model of nonlinear blood flow in large blood vessels is developed and the propagation of nonlinear pressure wave is studied. Methods Taking the effect of large deformation, nonlinear equation of motion is established in the current configuration in terms of the constitutive equations proposed by demiray for soft biological tissues. Results Employing the reductive perturbation method the KdV equation is derived from the nonlinear partial equations governing the motion of coupled system. Conclusion It is shown from this that the system admits an accurate periodic wave solution or solitary wave solution under certain conditions.
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