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. 2015 Sep;7(9):114-8.

Stress Induced in Periodontal Ligament under Orthodontic Loading (Part II): A Comparison of Linear Versus Non-Linear Fem Study

Affiliations

Stress Induced in Periodontal Ligament under Orthodontic Loading (Part II): A Comparison of Linear Versus Non-Linear Fem Study

M Hemanth et al. J Int Oral Health. 2015 Sep.

Abstract

Background: Simulation of periodontal ligament (PDL) using non-linear finite element method (FEM) analysis gives better insight into understanding of the biology of tooth movement. The stresses in the PDL were evaluated for intrusion and lingual root torque using non-linear properties.

Materials and methods: A three-dimensional (3D) FEM model of the maxillary incisors was generated using Solidworks modeling software. Stresses in the PDL were evaluated for intrusive and lingual root torque movements by 3D FEM using ANSYS software. These stresses were compared with linear and non-linear analyses.

Results: For intrusive and lingual root torque movements, distribution of stress over the PDL was within the range of optimal stress value as proposed by Lee, but was exceeding the force system given by Proffit as optimum forces for orthodontic tooth movement with linear properties. When same force load was applied in non-linear analysis, stresses were more compared to linear analysis and were beyond the optimal stress range as proposed by Lee for both intrusive and lingual root torque. To get the same stress as linear analysis, iterations were done using non-linear properties and the force level was reduced.

Conclusion: This shows that the force level required for non-linear analysis is lesser than that of linear analysis.

Keywords: Finite element method; intrusion; lingual root torque; non-linear analysis.

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Conflict of interest statement

Conflicts of Interest: None

Figures

Figure 1
Figure 1
Distribution of principle stress in periodontal ligament on the application of the intrusive force of 0.30 N using non-linear properties.
Figure 2
Figure 2
Distribution of principle stress in periodontal ligament on the application of the intrusive force of 0.20 N using non-linear properties.
Figure 3
Figure 3
Distribution of principle stress in periodontal ligament on the application of lingual root torque of 1.00 N/mm using non-linear properties.
Figure 4
Figure 4
Distribution of principle stress in periodontal ligament on the application of lingual root torque of 0.80 N/mm using non-linear properties.
Graph 1
Graph 1
The difference in the linear and non-linear stress levels.

References

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