Analytical Study of Stress Distributions around Screws in Flat Mandibular Bone under In-Plane Loading

A known complication for mechanically loaded bone implants is the instability due to screw loosening, resulting in infection and the non-union of fractures. To investigate and eventually prevent such bone degradation, it is useful to know the stress state in the bone around the screw. Considering on...

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Main Authors: Jinxing Huo, Jan-Michaél Hirsch, E. Kristofer Gamstedt
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Bioengineering
Subjects:
Online Access:https://www.mdpi.com/2306-5354/10/7/786
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author Jinxing Huo
Jan-Michaél Hirsch
E. Kristofer Gamstedt
author_facet Jinxing Huo
Jan-Michaél Hirsch
E. Kristofer Gamstedt
author_sort Jinxing Huo
collection DOAJ
description A known complication for mechanically loaded bone implants is the instability due to screw loosening, resulting in infection and the non-union of fractures. To investigate and eventually prevent such bone degradation, it is useful to know the stress state in the bone around the screw. Considering only in-plane loadings and simplifying the mandibular bone into an orthotropic laminated plate, the analysis was reduced to a two-dimensional pin-loaded plate problem. An analytic model, based on the complex stress analysis, was introduced to the bone biomechanics field to obtain the stress distributions around the screw hole in the bone. The dimensionless normalized stresses were found to be relatively insensitive to the locations of the screw hole over the mandible. Parametric analyses were carried out regarding the friction coefficient and load direction. It was found that the load direction had a negligible influence. On the contrary, the friction coefficient had a significant effect on the stress distributions. Whether the screw was well bonded or not thus played an important role. The proposed analytic model could potentially be used to study bone failure together with stress-based failure criteria.
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spelling doaj.art-d892725c283c4780b7761ee2bb8ea7422023-11-18T18:21:20ZengMDPI AGBioengineering2306-53542023-06-0110778610.3390/bioengineering10070786Analytical Study of Stress Distributions around Screws in Flat Mandibular Bone under In-Plane LoadingJinxing Huo0Jan-Michaél Hirsch1E. Kristofer Gamstedt2Division of Applied Mechanics, Department of Materials Science and Engineering, Uppsala Univeristy, Box 35, SE-751 03 Uppsala, SwedenDepartment of Surgical Sciences, Oral & Maxillofacial Surgery, Uppsala University, SE-751 85 Uppsala, SwedenDivision of Applied Mechanics, Department of Materials Science and Engineering, Uppsala Univeristy, Box 35, SE-751 03 Uppsala, SwedenA known complication for mechanically loaded bone implants is the instability due to screw loosening, resulting in infection and the non-union of fractures. To investigate and eventually prevent such bone degradation, it is useful to know the stress state in the bone around the screw. Considering only in-plane loadings and simplifying the mandibular bone into an orthotropic laminated plate, the analysis was reduced to a two-dimensional pin-loaded plate problem. An analytic model, based on the complex stress analysis, was introduced to the bone biomechanics field to obtain the stress distributions around the screw hole in the bone. The dimensionless normalized stresses were found to be relatively insensitive to the locations of the screw hole over the mandible. Parametric analyses were carried out regarding the friction coefficient and load direction. It was found that the load direction had a negligible influence. On the contrary, the friction coefficient had a significant effect on the stress distributions. Whether the screw was well bonded or not thus played an important role. The proposed analytic model could potentially be used to study bone failure together with stress-based failure criteria.https://www.mdpi.com/2306-5354/10/7/786bone fixationorthotropic plate theoryanalytical analysisstress distribution
spellingShingle Jinxing Huo
Jan-Michaél Hirsch
E. Kristofer Gamstedt
Analytical Study of Stress Distributions around Screws in Flat Mandibular Bone under In-Plane Loading
Bioengineering
bone fixation
orthotropic plate theory
analytical analysis
stress distribution
title Analytical Study of Stress Distributions around Screws in Flat Mandibular Bone under In-Plane Loading
title_full Analytical Study of Stress Distributions around Screws in Flat Mandibular Bone under In-Plane Loading
title_fullStr Analytical Study of Stress Distributions around Screws in Flat Mandibular Bone under In-Plane Loading
title_full_unstemmed Analytical Study of Stress Distributions around Screws in Flat Mandibular Bone under In-Plane Loading
title_short Analytical Study of Stress Distributions around Screws in Flat Mandibular Bone under In-Plane Loading
title_sort analytical study of stress distributions around screws in flat mandibular bone under in plane loading
topic bone fixation
orthotropic plate theory
analytical analysis
stress distribution
url https://www.mdpi.com/2306-5354/10/7/786
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