Technical Journal, Vol. 15 No. 2, 2021.
Original scientific paper
https://doi.org/10.31803/tg-20191023141118
Application of Numerical Methods for Research of Construction Design of Fastener Fractures
Leonid V. Kolomiets
; Odesa State Academy of Technical Regulation and Quality, Kovalska st. 15, 65020 Odesa, Ukraine
Aleksej Aniskin
orcid.org/0000-0002-9941-1947
; University North, Department of Civil Engineering, Jurja Križanića 31b, 42000 Varaždin, Croatia
Viktor F. Orobey
; Odesa National Polytechnic University, Shevchenko Avenue 1, 65044 Odesa, Ukraine
Alexander Daschenko
; Odesa National Polytechnic University, Shevchenko Avenue 1, 65044 Odesa, Ukraine
Aleksandr M. Lymarenko
; Odesa National Polytechnic University, Shevchenko Avenue 1, 65044 Odesa, Ukraine
Kostiantyn F. Boriak
orcid.org/0000-0003-4226-0102
; Odesa State Academy of Technical Regulation and Quality, Kovalska st. 15, 65020 Odesa, Ukraine
Abstract
The work uses modern numerical methods of mechanics of a deformable solid to analyze the stress-strain state of orthopedic structures in order to improve them and improve the quality of treatment of patients. Among the many numerical methods, the attention of the authors was drawn to the finite element method and to the numerical and analytical method of boundary elements in the author's edition. Settlement models of both metal apparatuses and parts of a person’s arm with a fracture are constructed. The stress – strain state in various zones of the biomechanical system was calculated. It is shown that the numerical-analytical method of boundary elements allows obtaining more accurate results with fewer equations in the resolution system. It is noted that in the case of the considered biomechanical systems, its elements undergo tension – compression, shear, torsion, and bending. To consider them, solutions are presented for Cauchy problems, which are included in the general system of resolving equations of the MGE. It is shown that, unlike the FEM, the MGE simplifies the algorithm for calculating biomechanical systems. Comparison with the FEM results shows their good agreement, which proves the reliability of the calculation results of both methods.
Keywords
boundary element method; finite element method; orthopedic constructions; stress-strain state
Hrčak ID:
258424
URI
Publication date:
8.6.2021.
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