<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Departamento de Anatomía Humana y Psicobiología

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

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...

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

Published Online: Feb 22, 2021

Page range: 53 - 64

Received: Sep 24, 2020

Accepted: Dec 02, 2020

DOI: https://doi.org/10.2478/amns.2021.1.00008

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

© 2021 Rui Bu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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

Published Online: Feb 22, 2021

Page range: 53 - 64

Received: Sep 24, 2020

Accepted: Dec 02, 2020

DOI: https://doi.org/10.2478/amns.2021.1.00008

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

© 2021 Rui Bu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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