Mathematical modeling of TMJ stress in lateral occlusion

Title	Mathematical modeling of TMJ stress in lateral occlusion
Authors	N. D. Morozkin¹, D. M. Kolonskikh¹ ¹Ufa University of Science and Technology
Annotation	The problem of numerical analysis of the stress-strain state of the temporomandibular joint (TMJ) in lateral occlusion, solved by the finite element method (FEM), is considered. The mandibular joint is an important element of masticatory function and articulation, the study of its mechanical properties is of key importance for understanding the pathophysiology of diseases, developing individualized approaches to prevention and treatment, as well as the development of orthopedic and dental implants. Mathematical modeling makes it possible to predict the behavior of a joint under load. A finite element model of the human mandible is presented, on the basis of which the calculation and analysis of the principal stresses during lateral occlusion is carried out.
Keywords	stress-strain state, stress tensor, finite element method, temporomandibular joint, lateral occlusion.
Citation	Morozkin N. D., Kolonskikh D. M. ''Mathematical modeling of TMJ stress in lateral occlusion'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 29-31, 2025). Saransk: SVMO Publ, 2025. - pp. 180-184. Available at: https://conf.svmo.ru/files/2025/papers/paper36.pdf. - Date of access: 30.08.2025.