Applied Mathematics and Nonlinear Sciences
Journal license

Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 6, Issue 1


Published
on

February 22, 2021


Pages


DOI

Article

Nonlinear Mathematical Modelling of Bone Damage and Remodelling Behaviour in Human Femur

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Authors

Rui Bu Affiliation:
Department of Mechanics, Tianjin University, Tianjin 300072, China
and Chuanyong Qu Affiliation:
Department of Mechanics, Tianjin University, Tianjin 300072, China


Abstract

The simulation of bone remodelling is highly complex due to the high nonlinear coupled relations between the damage and repair behaviours. In this paper, a new bone remodelling model based on the fatigue damage mechanism is proposed. Then the repair process of the human femur is simulated based on the finite element method. The results show that the new damage model can well simulate the bone damage evolution caused by overloadings. This indicates that the new mathematical model suggested in this paper can simulate the effect of external load on the cortical bone density and the related mechanical properties of the cortical bone.


Keywords

bone remodelling, bone damage, human femur, finite element method, ???


Citation

Bu, R. & Qu, C. (2021). Nonlinear mathematical modelling of bone damage and remodelling behaviour in human femur. Applied Mathematics and Nonlinear Sciences, 6(1). https://doi.org/10.2478/amns.2021.1.00008

Published by: Engineering Journals

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