Nonlinear Mathematical Modelling of Bone Damage and Remodelling Behaviour in Human Femur
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 t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Sciendo
2021-02-01
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| Series: | Applied Mathematics and Nonlinear Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amns.2021.1.00008 |
| _version_ | 1818555916460490752 |
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| author | Bu Rui Qu Chuanyong Sánchez Yolanda Guerrero |
| author_facet | Bu Rui Qu Chuanyong Sánchez Yolanda Guerrero |
| author_sort | Bu Rui |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-13T06:59:05Z |
| format | Article |
| id | doaj.art-6d7e87dfaf1f4bda981de86140271c9d |
| institution | Directory Open Access Journal |
| issn | 2444-8656 |
| language | English |
| last_indexed | 2024-12-13T06:59:05Z |
| publishDate | 2021-02-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Applied Mathematics and Nonlinear Sciences |
| spelling | doaj.art-6d7e87dfaf1f4bda981de86140271c9d2022-12-21T23:55:59ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562021-02-0162536410.2478/amns.2021.1.00008Nonlinear Mathematical Modelling of Bone Damage and Remodelling Behaviour in Human FemurBu Rui0Qu Chuanyong1Sánchez Yolanda Guerrero2Department of Mechanics, Tianjin University, Tianjin300072, ChinaDepartment of Mechanics, Tianjin University, Tianjin300072, ChinaDepartamento de Anatomía Humana y Psicobiología, University of Murcia, 30100-Murcia, SpainThe 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.https://doi.org/10.2478/amns.2021.1.00008bone remodellingbone damagehuman femurfinite element method??? |
| spellingShingle | Bu Rui Qu Chuanyong Sánchez Yolanda Guerrero Nonlinear Mathematical Modelling of Bone Damage and Remodelling Behaviour in Human Femur Applied Mathematics and Nonlinear Sciences bone remodelling bone damage human femur finite element method ??? |
| title | Nonlinear Mathematical Modelling of Bone Damage and Remodelling Behaviour in Human Femur |
| title_full | Nonlinear Mathematical Modelling of Bone Damage and Remodelling Behaviour in Human Femur |
| title_fullStr | Nonlinear Mathematical Modelling of Bone Damage and Remodelling Behaviour in Human Femur |
| title_full_unstemmed | Nonlinear Mathematical Modelling of Bone Damage and Remodelling Behaviour in Human Femur |
| title_short | Nonlinear Mathematical Modelling of Bone Damage and Remodelling Behaviour in Human Femur |
| title_sort | nonlinear mathematical modelling of bone damage and remodelling behaviour in human femur |
| topic | bone remodelling bone damage human femur finite element method ??? |
| url | https://doi.org/10.2478/amns.2021.1.00008 |
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