An introduction to the Ogden model in biomechanics: benefits, implementation tools and limitations
An introduction to the Ogden model in biomechanics: benefits, implementation tools and limitations
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生物力学中的Ogden模型简介：优点、实现工具和局限性
DOI：
10.1098/rsta.2021.0365
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发表时间：
2022-10-17
期刊：
影响因子：
5
通讯作者：
Rausch, Manuel K.
中科院分区：
文献类型：
--
作者：
Lohr, Matthew J.;Sugerman, Gabriella P.;Rausch, Manuel K.
本构模型对生物力学很重要，主要有两个原因。首先，本构模型是描述生物力学系统的理论模型和计算模型的组织力学特性的重要组成部分。第二，本构模型可以作为从材料表征实验中提取和比较感兴趣的关键量的理论框架。在过去的五十年里，Ogden模型已经成为软组织生物力学中一个流行的本构模型，它与提供理论模型和计算模型以及比较材料特性实验都具有相关性。这篇简短的评论有三个目标。首先，我们将讨论Ogden模型与软组织生物力学的广泛相关性，以及适合与Ogden模型近似的软组织的一般特征。其次，我们将重点介绍Ogden模型在脑组织、血液凝块和其他组织中的示范应用。最后，我们提供了一个教程，如何通过均匀变形的解析近似和组织域的有限元模型来将单项Ogden模型拟合到纯剪切实验数据。总体而言，我们预计这篇简短的综述将成为对奥格登模型在生物力学中的应用的实际介绍。本文是主题期刊《橡胶力学的奥格登模型：对非线性弹性的五十年影响》的一部分。
Constitutive models are important to biomechanics for two key reasons. First, constitutive modelling is an essential component of characterizing tissues' mechanical properties for informing theoretical and computational models of biomechanical systems. Second, constitutive models can be used as a theoretical framework for extracting and comparing key quantities of interest from material characterization experiments. Over the past five decades, the Ogden model has emerged as a popular constitutive model in soft tissue biomechanics with relevance to both informing theoretical and computational models and to comparing material characterization experiments. The goal of this short review is threefold. First, we will discuss the broad relevance of the Ogden model to soft tissue biomechanics and the general characteristics of soft tissues that are suitable for approximating with the Ogden model. Second, we will highlight exemplary uses of the Ogden model in brain tissue, blood clot and other tissues. Finally, we offer a tutorial on fitting the one-term Ogden model to pure shear experimental data via both an analytical approximation of homogeneous deformation and a finite-element model of the tissue domain. Overall, we anticipate that this short review will serve as a practical introduction to the use of the Ogden model in biomechanics.This article is part of the theme issue 'The Ogden model of rubber mechanics: Fifty years of impact on nonlinear elasticity'.