Abstract
Mathematical modeling was used to determine the stress-strain state of the developed simulation model of the biomechanical system "Orthodontic appliance – maxilla". The patterns of changes in the stress state were determined and the values of deformation displacements in the structural elements of the biomechanical system were determined under a force stress of the orthodontic device with an amplitude of 50 N. The strength and strain changes of the mutual location of unfused maxillary fragments and the orthodontic appliance of a given type were evaluated using the data of a numerical experiment. Simulation computer modeling of the stress-strain state of the system showed that activation of the kinematic mechanism of the appliance with a force of 50 N causes the emergence of a complex stress-strain state of midface bones, which contain tensile, compressive, shear and torsion deformations. Equivalent von Mises stresses in the maxillary bone tissue are distributed unevenly. When the orthodontic appliance is activated, there is an asymmetry in the distribution of stresses between the right and left sides both for the appliance itself and for the maxillary bone tissue. When the appliance is activated with a force of 50 N, the stresses in the base of the appliance and bone tissue do not exceed the maximum permissible values.
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