Purpose. Determine the stresses for a layered structure with variable geometric characteristics at the present level of orthodontics using the finite element method.
Methods. In experimental model at the teeth 11, 12, 13, 14, 15, 21, 22, 23, 24 and 25 were mounted brackets, on teeth 16 and 26 — orthodontic tube. Dimensions of orthodontic apparatus components and the mechanical properties of materials with the appropriate parameters depends of production ORMCO company. Teeth, palate compact disc, braces and pipes were made of triangular finite elements (such TRIANG), and orthodontic arch — beam of finite elements (BEAM2D). The peculiarity of this model is the availability of the contact elements (GAP) between the points brackets and pipes on the one hand, and the points of the orthodontic arch, on the other side (the contact pairs). This approach allows us to consider orthodontic arch with any initial form of the arc in the plan.
Results. Our procedure and the model developed can account orthodontic arch impact force to the teeth, depending on the material and shape of the cross-sectional arc teeth particular deviation from the norm, in the presence of any defects in the location of individual teeth in a row (extension of the series reversal, etc.), with the mechanical properties of bone tissue in a particular patient depending on the sex, age, type of disease, setting accuracy brackets, etc. It suffices to say that the model reacts even to the gap amount in the recess bracket.
Conclusions. This approach is primarily theoretical. But in our view, this model helps to correct the rationality of the installation brackets at different angles, to determine the amount of effort and stress by changing arcs at different stages of orthodontic process, etc.