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Establishment, FEM analysis and experimental validation of tooth movement prediction model of orthodontic archwire T-loop

Jingang Jiang, Liang Yao, Yongde Zhang, Xuefeng Ma, Yafeng Guo, Yi Liu · 2022 · 9 citationsRead the paper

BACKGROUND: The T-loop has been used clinically to close gap between teeth. And it is a typical orthodontic archwire bending method. However, the design of the T-loop parameters for different patients is based on the clinical experience of the dentists. The variation in dentists' clinical experience is the main reason for inadequate orthodontic treatment, even high incidence of postoperative complications. METHODS: Firstly, the tooth movement prediction model is established based on the analysis of the T-loop structure and the waxy model dynamic resistance. As well as the reverse reconstruction of the complete maxillary 3D model based on the patient CBCT images, the oral biomechanical FEM analysis is completed. A maxillary waxy dental model is manufactured to realize the water-bath measurement experiment in vitro mimicking the oral bio-environment. Thus, the calculated, simulation and experimental data are obtained, as well as obtaining a cloud of total deformation from the simulation analysis. RESULTS: The growth trend of the 11 sets of simulation data is the same as that of the experimental data. And all of them show that the tooth displacement is positively correlated with the cross-sectional size of the archwire, and the clearance distance. As well as the higher Young's modulus of the archwire material, the greater the tooth displacement. And the effect of archwire parameters on tooth displacement derived from simulation and experimental data is consistent with the prediction model. The experimental and calculated data are also compared and analyzed, and the two kinds of data are basically consistent in terms of growth trends and fluctuations, with deviation rates ranging from 2.17 to 10.00%. CONCLUSIONS: This study shows that the accuracy and reliability of the tooth movement prediction model can be verified through the comparative analysis and deviation calculation of the obtained calculated, simulation and experimental data, which can assist dentists to safely and efficiently perform orthodontic treatment on patients. And the FEM analysis can achieve predictability of orthodontic treatment results.

What the full text shows

Working prototype
  • Tooth displacement is positively correlated with archwire cross-sectional size and T-loop clearance distance. (Both rectangular and round archwires)
  • Higher Young's modulus of the archwire material leads to greater tooth displacement. (Comparison between stainless steel and Australian archwires)
  • Stainless steel archwires produce more pronounced tooth displacement than Australian archwires as clearance distance increases. (Same cross-sectional dimensions)
  • The deviation between calculated prediction model data and experimental measurement data is low. — 2.17% to 10.00% deviation (Waxy model experimental validation)
  • Maximum displacement of tooth No. 13 at the cusp in FEM analysis. — 1.4575 mm (0.014-inch round Australian archwire, 0.3–1.2 mm clearance distance)
Setup
11 T-loop configurations (varying material, cross-section, and clearance); FEM model with 235,827 nodes; waxy dental model simulating periodontal tissue.
How
The researchers developed a tooth movement prediction model combining T-loop mechanical analysis and waxy model dynamic resistance. This was validated using biomechanical FEM analysis based on patient CBCT images and in vitro water-bath experiments using a waxy dental model at 75 °C.
Limitations
Waxy model is a simulation of periodontal tissue and may not perfectly replicate all biological properties. · Experimental validation was performed in vitro using a water-bath. · Friction between archwire and brackets was not included in the current model.

Summarized by Gemma 4 from the open-access full text · 8 Oct 2026. Read it