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Related Experiment Video

Updated: Feb 2, 2026

A Finite Element Approach for Locating the Center of Resistance of Maxillary Teeth
10:50

A Finite Element Approach for Locating the Center of Resistance of Maxillary Teeth

Published on: April 8, 2020

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Can interfaces at bracket-wire and between teeth in multi-teeth finite element model be simplified?

Yanzhi Liu1, Feifei Jiang1, Jie Chen2

  • 1Department of Mechanical Engineering, Indiana University Purdue University Indianapolis (IUPUI), Indianapolis, IN, USA.

International Journal for Numerical Methods in Biomedical Engineering
|November 15, 2018
PubMed
Summary

Simplifying interfaces in multi-teeth finite element (FE) analysis leads to inaccurate stress and displacement results. A detailed FE model is necessary for reliable outcomes in orthodontic treatment simulations.

Keywords:
En-masse retractionfinite element methodinitial tooth movementstress distribution

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Area of Science:

  • Biomechanical Engineering
  • Orthodontics
  • Computational Mechanics

Background:

  • The accuracy of finite element (FE) analysis in orthodontics is contingent upon the chosen modeling methodology.
  • Multi-teeth FE models require careful consideration of interfacial conditions between components like brackets, wires, and teeth.

Purpose of the Study:

  • To evaluate the impact of simplifying interfacial conditions on the accuracy of multi-teeth finite element analysis.
  • To compare stress and displacement results between detailed and simplified FE models of the mandible during orthodontic retraction.

Main Methods:

  • A 3D finite element model of a hemimandible with five teeth was constructed from cone-beam computed tomography data.
  • Two models were developed: one with detailed contact elements allowing relative motion at interfaces, and another with simplified conditions preventing relative motion.
  • En-masse retraction was simulated, and stresses and displacements were calculated and compared between the two models.

Main Results:

  • The detailed FE model yielded stress and displacement distributions that more closely mirrored expected clinical outcomes.
  • Significant differences in maximum stress magnitudes were observed, with the detailed model showing twice the highest stress compared to the simplified model.
  • The location of maximum stress also differed between the two modeling approaches.

Conclusions:

  • Detailed modeling of interfaces in multi-teeth FE analysis provides more realistic biomechanical results than simplified models.
  • Simplified interfacial conditions are inadequate when accurate stress magnitude and location are critical outcomes.
  • The detailed model is recommended for simulating orthodontic treatment to ensure the reliability of stress and displacement predictions.