A nonlinear biphasic viscohyperelastic model for articular cartilage
A nonlinear biphasic viscohyperelastic model for articular cartilage
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DOI：
10.1016/j.jbiomech.2005.10.017
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发表时间：
2006-01-01
影响因子：
2.4
通讯作者：
Humberto Cortes, Daniel
中科院分区：
文献类型：
--
作者：
Jaime Garcia, Jose;Humberto Cortes, Daniel
关节软骨在有限变形下的非线性应力-应变曲线以及固相的固有粘性效应。本研究的目的是提出一个非线性双相粘超弹性模型，该模型结合了蛋白聚糖基质的固有粘性效应和非线性超弹性本构方程。所提出的方程满足客观性，并将单轴载荷简化为固体型粘性模型，其中弹簧的作用由Holmes和Mow[1990]提出的超弹性函数表示。[j].生物力学学报，2016,33(4):1158 - 1158。该模型的结果在更新的拉格朗日算法中有效地实现，并与DiSilverstro和Suh[2001]报告的实验无穷小数据进行了比较。[j] .生物力学学报，34(2):519-525。]，对无侧限压缩时轴向力曲线（R-2=0.991）和侧向位移曲线（R-2=0.914）拟合良好，对轴向压痕力曲线（R-2=0.982）拟合良好。此外，该模型还能很好地拟合Ateshian等[1997]报道的有限变形受限压缩应力松弛数据。[j] .生物力学学报，30(3):557 - 564。黄等[2005]。[j] .生物力学学报，38(3):799- 799。] （R-2=0.993, R-2=0.995）。本构方程可用于表示纤维增强关节软骨模型中蛋白聚糖基质的力学行为。(c) 2005 Elsevier Ltd版权所有。
Experiments on articular cartilage have shown nonlinear stress-strain curves under finite deformations as well as intrinsic viscous effects of the solid phase. The aim of this study was to propose a nonlinear biphasic viscohyperelastic model that combines the intrinsic viscous effects of the proteoglycan matrix with a nonlinear hyperelastic constitutive equation. The proposed equation satisfies objectivity and reduces for uniaxial loading to a solid type viscous model in which the actions of the springs are represented by the hyperelastic function proposed by Holmes and Mow [1990. J. Biomechanics 23, 1145-1156.]. Results of the model, that were efficiently implemented in an updated Lagrangian algorithm, were compared with experimental infinitesimal data reported by DiSilverstro and Suh [2001. J. Biomechanics 34, 519-525.] and showed acceptable fitting for the axial force (R-2=0.991) and lateral displacement (R-2=0.914) curves in unconfined compression as well as a good fitting of the axial indentation force curve (R-2=0.982). In addition, the model showed an excellent fitting of finite-deformation confined compression stress relaxation data reported by Ateshian et al. [1997. J. Biomechanics 30, 1157-1164.] and Huang et al. [2005. J. Biomechanics 38, 799-809.] (R-2=0.993 and R-2=0.995, respectively). The constitutive equation may be used to represent the mechanical behavior of the proteoglycan matrix in a fiber reinforced model of articular cartilage. (c) 2005 Elsevier Ltd. All rights reserved.