Title | Mathematical formulation of a thermoelasticity problem for a biotechnical system "tibia bone–TRKh plate–screws" |
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Authors | E. Y. Belova^{1}^{1}Saint Petersburg Electrotechnical University "LETI" |

Annotation | This study is dedicated to mathematical formulation of the thermoelasticity problem for the biotechnical system ''tibia bone – TRKh plate – screws'' and its solution using the finite element method.Biomechanical research of biotechnical system is conducted at 10 different time stages. Evaluation of maximum values of equivalent stresses is shown that fixation stability of a segmental fracture is not disturbed. |

Keywords | problem of thermoelasticity, stress equilibrium equation, Cauchy relations, Duhamel-Neumann law, tibia bone, segmental fracture, plate osteosynthesis |

Citation | Belova E. Y. ''Mathematical formulation of a thermoelasticity problem for a biotechnical system "tibia bone–TRKh plate–screws"'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 101-104. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper15.pdf. - Date of access: 20.10.2020. |

**© SVMO, National Research Mordovia State University, 2020**

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