The aim of the present work is to examine the effects of applied magnetic field and strain-dependent nonlinear permeability on the deformation of articular cartilage equilibrated in a sodium chloride solution. A thin rectangular specimen of bovine cartilage is considered that is assumed to be an isotropic and linearly elastic solid. A biphasic mixture theory approach has been employed to model the nonlinear deformable porous medium in the presence of a change in the ion concentration of the bathing solution. Analytical and numerical solutions for the solid displacement and fluid pressure profiles are presented highlighting effects of various emerging parameters along with a discussion on the ion concentration distribution in the tissue.

中文翻译：

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具有应变相关非线性渗透率和 MHD 效应的离子诱导关节软骨变形

本工作的目的是检查外加磁场和应变相关非线性磁导率对在氯化钠溶液中平衡的关节软骨变形的影响。牛软骨的薄矩形标本被认为是各向同性和线弹性的固体。已经采用双相混合理论方法来模拟在沐浴液离子浓度发生变化的情况下非线性可变形多孔介质。提出了固体位移和流体压力分布的分析和数值解，重点介绍了各种新兴参数的影响，并讨论了组织中的离子浓度分布。