Simulation of Stress Distribution on the Upper First Molar and Alveolar Bone with the Transpalatal Arch and Upper Second Molar Using Finite Element Analysis

Presti Bhakti Pratiwi, Retno Widayati, Maria Purbiati


Objective:To evaluate the differences in the stress distribution on the upper first molar with and without transpalatal arch and a second molar when a 150 g force is applied during canine distalization using finite element analysis. Material and Methods:We constructed several models with data obtained by scanning human skulls using cone beam computed tomography. A robust three-dimensional maxillary model was then constructed by assembling the previously completed robust models of the maxilla and second molar with and without transpalatal arch, and canine distalization was simulated using a 150 g force. The data consisted of color spectrum figures representing the stress distribution. Results:For the upper first molar and its alveolar bone, there was a statistically significant difference in the stress distribution between the upper first molar with transpalatal arch, the upper first molar without transpalatal arch, and the upper first molar with transpalatal archand a second molar as reinforcement. Conclusion:Stress distribution on the first molar and alveolar bone, indicated by the maximum and minimum principal stress, as well as the pressure von Mises, exhibited a similar pattern. The highest amount of stress was observed in the model of the first molar without transpalatal arch, followed by the model of the first molar with transpalatal archand, finally, the model of the first molar with transpalatal archand a second molar.


Investigative Techniques; Orthodontics; Cone-Beam Computed Tomography.

Full Text:



Raucci G, Pachêco-Pereira C, Grassia V, D’Apuzzo F, Flores-Mir C, Perillo L. Maxillary arch changes with transpalatal arch treatment followed by full fixed appliances. Angle Orthod 2014; 85(4):683-9.

Feldmann I, Bondemark L. Anchorage capacity of osseointegrated and conventional anchorage systems: a randomized controlled trial. Am J Orthod Dentofacial Orthop 2008; 133(3):19-28.

Alhadlaq A, Alkhadra T, El-Bialy T. Anchorage condition during canine retraction using transpalatal arch with continuous and segmented arch mechanics. Angle Orthod 2016; 86(3):380-5.

Jacobson A. Retrospective cephalometric investigation of the effects of soldered transpalatal arches on the maxillary first molars during orthodontic treatment involving extraction of maxillary first bicuspids. Am J Orthod Dentofacial Orthop 2006; 129(1):81.

Zablocki HL, McNamara JA, Franchi L, Baccetti T. Effect of the transpalatal arch during extraction treatment. Am J Orthod Dentofacial Orthop 2008; 133(6):852-60.

Begum MS, Dinesh MR, Amarnath BC, Dharma RM, Prashanth CS, Shetty KA, et al. Comparison of the effect of transpalatal arch on periodontal stress and displacement of molars when subjected to orthodontic forces. A finite element analysis. Br J Med Med Res 2016; 12(12):1-7.

Bobak V, Christiansen RL, Hollister SJ, Kohn DH. Stress-related molar responses to the transpalatal arch: A finite element analysis. Am J Orthod Dentofacial Orthop 1997; 112(5):512-8.

Kojima Y, Fukui H. Effects of the transpalatal arch on molar movement produced by mesial force: A finite element simulation. Am J Orthod Dentofacial Orthop 2008; 134(3):335.e1-7.

Knop L, Gandini L, Shincovsk RL, Gandini MREAS. Scientific use of the finite element method in Orthodontics. Dent Press J Orthod 2015; 20(2):119-25.

Mehta F, Joshi H. Finite element method: An overview. IOSR J Dent Med Sci 2016; 15(3):38-41.

Mohammed S, Desai H. Basics concepts of finite element analysis and its application in dentistry: An overview. J Oral Hyg Health 2014; 2(5):156-60.

Penedo ND, Elias CN, Pacheco MCT, Gouvêa JP. 3D simulation of orthodontic tooth movement. Dent Press J Orthod 2010; 15(5):98-108.

Jing Y, Han XL, Cheng B, Bai D. Three-dimensional FEM analysis of stress distribution in dynamic maxillary canine movement. Chinese Sci Bull 2013; 58(20):2454-9.