Analgorithm design for solving problems by the finite element method to create the “bone - fixator” mathematical model

To improve the outcomes of shaft tibia fractures’ treatment, a biomechanical research of the quality features of the tibia osteosynthesis was performed. When creating a mathematical model, radiographs and skiagrams of the fractures, as well as series of tibia tomograms, made with 0,5 mm slice spacing, were used. This ensured a high-quality model of the tibia. Slices are processed in the SolidWorks 3D design, 3D solid model was created. Hereafter, a geometric model of the bone and fixators were imported into the system of the Finite Element modeling that calculated the stress-strain state of the systems. The problem of loading of the “tibia - fixator” system was solved in 3D setting. The software system Ansys performed solving of the stationary equations of the theory of elasticity in Navier-Lame displacements and selection of a mathematical model. An algorithm for solving the problem by the Finite Element method is suggested in the article.