Non‐linear finite element analysis of mechanical electrochemical phenomena in hydrated soft tissues based on triphasic theory
Non‐linear finite element analysis of mechanical electrochemical phenomena in hydrated soft tissues based on triphasic theory
复制标题
基于三相理论的水合软组织机械电化学现象非线性有限元分析
DOI：
10.1002/nme.1439
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发表时间：
2006
影响因子：
2.9
通讯作者：
T. Hisada
中科院分区：
文献类型：
--
作者：
Yuan Chen;Xian Chen;T. Hisada
由于难以为整个组织定义一个共同的参考结构，被广泛接受的用于模拟带电水合软组织力学电化学现象的三相理论被限制在无穷小的变形问题上。本文基于固体基质的参考构型和流体相与离子相相对速度的Piola变换，建立了大变形条件下软组织的虚拟参考构型。以固体位移、流体流量、离子摩尔流量、静水压力和电势为未知变量，将加权残差法应用于三相理论控制方程的重构，提出了一种非线性有限元分析公式。通过比较线性受限压缩问题的结果与有限差分法得到的结果，验证了提出的有限元公式后，对具有大变形的关节软骨的三维自由膨胀问题进行了数值分析，并在材料特性中进行了强非线性，以再现关节软骨条在不同浓度的溶液中浸泡时的卷曲行为。有限元分析结果与实验测量结果吻合较好。版权所有©2005 John Wiley & Sons， Ltd
The well‐accepted triphasic theory for modelling the mechano‐electrochemical phenomena of charged hydrated soft tissue has been limited to infinitesimal deformation problems due to the difficulty of defining a common reference configuration for the whole tissue. In this paper, an imaginary reference configuration for soft tissue under large deformation is established based on the reference configuration of a solid matrix and a Piola transformation of the relative velocities of the fluid and ionic phases. A non‐linear finite element analysis formulation is proposed by applying a weighted residual method to the reformulated governing equations of triphasic theory reformulated in the imaginary reference configuration, with the displacement of the solid, fluid flows, ionic molar flows, hydrostatic pressure, and electrical potential as the unknown variables. After verifying the proposed finite‐element formulation by comparing the results of a linear‐confined compression problem with those obtained by the finite difference method, the numerical analysis of a three‐dimensional free‐swelling problem of articular cartilage with large deformation, and a strong non‐linearity in the material properties is carried out to reproduce the curling behaviour of articular cartilage strips in vitro when submerged in solution baths of various concentrations. The results obtained by finite element analysis are in agreement with those measured experimentally. Copyright © 2005 John Wiley & Sons, Ltd.
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影响因子：
2.4
作者：
FRANK, EH;GRODZINSKY, AJ
通讯作者：
GRODZINSKY, AJ
DOI：
10.1115/1.2894880
发表时间：
1991-08-01
影响因子：
1.7
作者：
LAI, WM;HOU, JS;MOW, VC
通讯作者：
MOW, VC
DOI：
10.1115/1.3168343
发表时间：
1989-02-01
影响因子：
1.7
作者：
HOU, JS;HOLMES, MH;MOW, VC
通讯作者：
MOW, VC
DOI：
10.1115/1.3138647
发表时间：
1987-02
期刊：
Journal of biomechanical engineering
影响因子：
--
作者：
S. Eisenberg;A. Grodzinsky
通讯作者：
S. Eisenberg;A. Grodzinsky