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用最小二乘法求零应力状态下动脉壁本构方程
引用本文:傅广宇,李晓阳.用最小二乘法求零应力状态下动脉壁本构方程[J].北京工业大学学报,1996,22(1):122-129.
作者姓名:傅广宇  李晓阳
作者单位:北京工业大学基础科学部
摘    要:由动脉血管零应力状态和无载荷状态的几何参数,分析计算了其无载荷状态下的残余应变,并由残余应变分布和平衡方程,用最小二乘法拟合七参数应变能密度函数的参数,进而确定了动脉壁在零应力状态下的本构方程。

关 键 词:最小二乘法,动脉,残余,应变,本构方程

The Determination of the Constitutive Equation of Arteries in Zero Stress State Using the Least Square Fit
Fu Guangyu,Li Xiaoyang,Zeng Yanjun.The Determination of the Constitutive Equation of Arteries in Zero Stress State Using the Least Square Fit[J].Journal of Beijing Polytechnic University,1996,22(1):122-129.
Authors:Fu Guangyu  Li Xiaoyang  Zeng Yanjun
Abstract:The residual strains of arteries wall are calculated from measuring the configurations of blood vessels in zero stress state under non-loading condition.Furthermore,the Functional parameters of the strain energy density are calculated from the distribution of residual strains and the balance equation using the least square fit.Therefore,the constitutive equation of arteries could be determined through analying the arteries in zero stress and non-loading conditions.
Keywords:least square fit  artery  residual strain  constitutive equation
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