DETERMINATION OF A CONSTITUTIVE RELATION FOR PASSIVE MYOCARDIUM .2. PARAMETER-ESTIMATION
DETERMINATION OF A CONSTITUTIVE RELATION FOR PASSIVE MYOCARDIUM .2. PARAMETER-ESTIMATION
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DOI：
10.1115/1.2891194
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发表时间：
1990-08-01
影响因子：
1.7
通讯作者：
YIN, FCP
中科院分区：
文献类型：
--
作者：
HUMPHREY, JD;STRUMPF, RK;YIN, FCP
在本系列的第一篇论文中，我们提出了一个新的横观各向同性的伪应变能量函数W来描述切除的非收缩心肌的生物力学行为。从双轴数据直接推导出W的具体函数形式为有限变形的两个坐标不变测度和五个材料参数的多项式函数。本文用非线性最小二乘回归法从双轴数据中确定材料参数的最佳拟合值。这些值的参数被证明是确定的，最终的本构关系被证明具有良好的预测能力。由于建议的本构关系描述了更广泛的类体外双轴数据比以前提出的关系，它可能是更好地适用于被动心脏的应力分析。
In the first paper of this series, we proposed a new transversely isotropic pseudostrain-energy function W for describing the biomechanical behavior of excised noncontracting myocardium. The specific functional form of W was inferred directly from biaxial data to be a polynomial function of two coordinate invariant measures of the finite defomation and five material parameters. In this paper, best-fit values of the materal parameters are determined from biaxial data using a nonlinear least-squares regression. These values of the parameters are shown to be well-determined, and the final constitutive relation is shown to have good predictive capabilities. Since the proposed constitutive relation describes much broader classes of in-vitro biaxial data than previously proposed relations, it may be better applicable to analyses of stress in the passive heart.