Liver tissue characterization from uniaxial stress-strain data using probabilistic and inverse finite element methods
Liver tissue characterization from uniaxial stress-strain data using probabilistic and inverse finite element methods
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DOI：
10.1016/j.jmbbm.2013.01.008
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发表时间：
2013-04-01
影响因子：
3.9
通讯作者：
Teo, C. L.
中科院分区：
文献类型：
--
作者：
Fu, Y. B.;Chui, C. K.;Teo, C. L.
生物软组织是高度不均匀的，具有分散的应力-应变曲线。假设在某一特定应力下的瞬时应变服从正态分布，提出了一种非确定性的方法来模拟压缩条件下组织样本的离散应力-应变关系。采用Mooney-Rivlin超弹性本构方程模拟的肝组织材料参数用正态分布的统计函数表示。分别采用有限元反分析法和一阶二阶矩反分析法计算材料参数的均值和标准差。基于直接蒙特-卡罗（MC）方法，对该方法进行了计算机仿真验证。模拟的累积分布函数（CDF）与实验应力-应变数据吻合良好。由此产生的非确定性材料参数能够模拟来自其他单独进行的肝脏组织压缩测试的应力-应变曲线。从这些新的测试的应力应变数据可以预测使用非确定性的材料参数。(C)2013爱思唯尔有限公司保留所有权利。
Biological soft tissue is highly inhomogeneous with scattered stress-strain curves. Assuming that the instantaneous strain at a specific stress varies according to a normal distribution, a nondeterministic approach is proposed to model the scattered stress-strain relationship of the tissue samples under compression. Material parameters of the liver tissue modeled using Mooney-Rivlin hyperelastic constitutive equation were represented by a statistical function with normal distribution. Mean and standard deviation of the material parameters were determined using inverse finite element method and inverse mean-value first-order second-moment (IMVFOSM) method respectively. This method was verified using computer simulation based on direct Monte-Carlo (MC) method. The simulated cumulative distribution function (CDF) corresponded well with that of the experimental stress-strain data. The resultant nondeterministic material parameters were able to model the stress-strain curves from other separately conducted liver tissue compression tests. Stress-strain data from these new tests could be predicted using the nondeterministic material parameters. (C) 2013 Elsevier Ltd. All rights reserved.