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本构模型的反分析:生物软组织

Inverse analysis of constitutive models: biological soft tissues.

作者信息

Lei Fulin, Szeri A Z

机构信息

Center for Biomedical Engineering Research, Department of Mechanical Engineering, University of Delaware, Newark, DE 19716, USA.

出版信息

J Biomech. 2007;40(4):936-40. doi: 10.1016/j.jbiomech.2006.03.014. Epub 2006 May 30.

DOI:10.1016/j.jbiomech.2006.03.014
PMID:16730739
Abstract

The paper describes a procedure for estimating the material parameters of biological soft tissue by fitting model prediction to experimental load-deformation data. This procedure minimizes the error between data and theoretical model prediction through systematically adjusting the parameters in the latter. The procedure uses commercially available software and is not specific to any particular model; nevertheless, for illustration purposes, we employ a six parameter fibril-reinforced poroelastic cartilage model. We are able to estimate any and all of these parameters by the procedure. Convergence of the parameters and convergence of the arbitrary initial stress relaxation to the data was demonstrated in all cases. Though we illustrate the optimization procedure here for unconfined compression only, it can be adapted easily to other experimental configurations such as confined compression, indentation and tensile test. Furthermore, the procedure can be applied in other areas of biomechanics where material parameters need to be extracted from experimental data.

摘要

本文描述了一种通过将模型预测与实验载荷-变形数据进行拟合来估计生物软组织材料参数的方法。该方法通过系统地调整理论模型中的参数,使数据与理论模型预测之间的误差最小化。该方法使用市售软件,并不特定于任何特定模型;然而,为了说明目的,我们采用了一个六参数的纤维增强多孔弹性软骨模型。通过该方法,我们能够估计这些参数中的任何一个或所有参数。在所有情况下,均证明了参数的收敛以及任意初始应力松弛与数据的收敛。尽管我们在此仅针对无侧限压缩说明了优化过程,但它可以很容易地适用于其他实验配置,如侧限压缩、压痕和拉伸试验。此外,该方法可应用于生物力学的其他领域,在这些领域中需要从实验数据中提取材料参数。

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