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Time-dependent elastohydrodynamic lubrication analysis of total knee replacement under walking conditions
Authors:Yonglin Su  Peiran Yang  Zengliang Fu  Zhongmin Jin  Chengtao Wang
Affiliation:1. Institute of Biomedical Manufacturing and Life Quality Engineering, School of Mechanical Engineering, Shanghai Jiaotong University , No. 800 Dongchuan Road, Minhang District, Shanghai, 200240, P.R. China sdjnsyl@sjtu.edu.cn;3. School of Mechanical Engineering, Qingdao Technological University , Qingdao, P.R. China;4. Institute of Biomedical Manufacturing and Life Quality Engineering, School of Mechanical Engineering, Shanghai Jiaotong University , No. 800 Dongchuan Road, Minhang District, Shanghai, 200240, P.R. China;5. School of Mechanical Engineering, University of Leeds , Leeds, UK
Abstract:This work is concerned with the lubrication analysis of artificial knee joints, which plays an increasing significant role in clinical performance and longevity of components. Time-dependent elastohydrodynamic lubrication analysis for normal total knee replacement is carried out under the cyclic variation in both load and speed representative of normal walking. An equivalent ellipsoid-on-plane model is adopted to represent an actual artificial knee. A full numerical method is developed to simultaneously solve the Reynolds and elasticity equations using the multigrid technique. The elastic deformation is based on the constrained column model. Results show that, under the combined effect of entraining and squeeze-film actions throughout the walking cycle, the predicted central film thickness tends to decrease in the stance phase but keeps a relatively larger value at the swing phase. Furthermore, the geometry of knee joint implant is verified to play an important role under its lubrication condition, and the length of time period is a key point to influence the lubrication performance of joint components.
Keywords:total knee replacement  time dependent  elastohydrodynamic lubrication  multigrid technique
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