A Finite Element Algorithm for Large Deformation Biphasic Frictional Contact Between Porous-Permeable Hydrated Soft Tissues.
A Finite Element Algorithm for Large Deformation Biphasic Frictional Contact Between Porous-Permeable Hydrated Soft Tissues.
复制标题
多孔渗透水合软组织之间大变形双相摩擦接触的有限元算法。
DOI：
10.1115/1.4052114
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发表时间：
2022
期刊：
影响因子：
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通讯作者：
Ateshian,GerardA
中科院分区：
文献类型：
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作者：
Zimmerman,BrandonK;Maas,SteveA;Weiss,JeffreyA;Ateshian,GerardA
关节软骨等多孔、可渗透的水合生物组织的摩擦响应在很大程度上依赖于间质流体的加压。为了模拟这种反应，通常将这样的组织表示为两相材料，由多孔固体基质和间质流体的二元混合物组成。然而，目前无论是商业软件还是开源软件中都没有计算算法来模拟这种材料之间的摩擦接触。因此，本研究在开源有限元软件FEBio中制定并实现了大变形两相摩擦接触的有限元算法。该算法依赖于已被实验验证的两相摩擦模型的局部形式，并将该模型实现到我们最近开发的面到面(STS)接触算法中。接触约束，包括那些特定于加压多孔介质的约束，用主-被动增广拉格朗日格式正则化的惩罚方法来实施。新的流体压力平滑格式和拉格朗日乘子克服了具有挑战性的有限变形两相接触问题的数值困难。实现的准确性与两相摩擦接触的半解析解进行了验证，并使用先前文献中的典型软骨摩擦实验进行了广泛的验证。本文提供了公式的基本细节，并向公众提供了这种两相摩擦接触算法的源代码。
The frictional response of porous and permeable hydrated biological tissues such as articular cartilage is significantly dependent on interstitial fluid pressurization. To model this response, it is common to represent such tissues as biphasic materials, consisting of a binary mixture of a porous solid matrix and an interstitial fluid. However, no computational algorithms currently exist in either commercial or open-source software that can model frictional contact between such materials. Therefore, this study formulates and implements a finite element algorithm for large deformation biphasic frictional contact in the open-source finite element software FEBio. This algorithm relies on a local form of a biphasic friction model that has been previously validated against experiments, and implements the model into our recently-developed surface-to-surface (STS) contact algorithm. Contact constraints, including those specific to pressurized porous media, are enforced with the penalty method regularized with an active–passive augmented Lagrangian scheme. Numerical difficulties specific to challenging finite deformation biphasic contact problems are overcome with novel smoothing schemes for fluid pressures and Lagrange multipliers. Implementation accuracy is verified against semi-analytical solutions for biphasic frictional contact, with extensive validation performed using canonical cartilage friction experiments from prior literature. Essential details of the formulation are provided in this paper, and the source code of this biphasic frictional contact algorithm is made available to the general public.