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The Finite Element Method: a Tool to Study Orthodontic Tooth Movement
P.M. Cattaneo*,
M. Dalstra and
B. Melsen
Dept. of Orthodontics, Royal Dental College, University of Aarhus, Vennelyst Boulevard 9, DK-8000, Aarhus C, Denmark;

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Figure 1. A µCT-scan slice of the lower left segment of the mandible (A), the corresponding section as retrieved from the FE model in the case of the homogeneous model, where all elements are assigned the same Youngs modulus of 12,000 MPa (B), and in the case of the density-based model, where each bone element is assigned a Youngs modulus based on the true bone morphology (C). Exploded view of the finite element model of the lower jaw segment with alveolar bone, PDLs, canine, and first premolar (D).
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Figure 2. Graph showing the 3 constitutive models for the PDL: physiologic non-linear behavior (gray + circles), linear behavior with a low Youngs modulus (dark), and linear behavior with a high Youngs modulus (dotted).
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Figure 3. Lingual-buccal stresses at the PDL-bone interface for the canine during tipping (M/F =0, F = 50 cN; A) and during translation (M/F = 12, F = 100 cN; B).
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Figure 4. Von Mises stress (A), 1st principal stress (B), and 3rd principal stress (C) in a coronal section of the alveolar bone, when a tipping movement is simulated. PDL material properties are assumed to be non-linear (left) or linear (right). Units are given in MPa.
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Journal of Dental Research, Vol. 84, No. 5,
428-433 (2005)
DOI: 10.1177/154405910508400506

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