<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...

	Joint (right)	Muscle (left)
Loadings	Value (N)	Value (N)
123	413	10.51

	Implant (right)		Muscle (left)
Loadings	Value (N)	Direction	Value (N)	Direction
123	2,3171,1581,548	145°105°165°	703351468	45°75°15°

	Implant		Muscle (left)		Muscle (right)
Loadings	Value (N)	Direction	Value (N)	Direction	Value (N)	Direction
123	1,7008001,100	145°105°165°	703351468	45°75°15°	613358448	145°105°165°

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

Online veröffentlicht: 22. Feb. 2021

Seitenbereich: 53 - 64

Eingereicht: 24. Sept. 2020

Akzeptiert: 02. Dez. 2020

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

Schlüsselwörter
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.

Fig. 1

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Fig. 5

Fig. 6

Fig. 7

Fig. 8

Fig. 9

Loading applied on the bone

Loading condition for the first case.

Loading condition for the second case.

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

Online veröffentlicht: 22. Feb. 2021

Seitenbereich: 53 - 64

Eingereicht: 24. Sept. 2020

Akzeptiert: 02. Dez. 2020

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

Schlüsselwörterbone 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.

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Fig. 7

Fig. 8

Fig. 9

Loading applied on the bone

Loading condition for the first case.

Loading condition for the second case.

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