Journal of Siberian Federal University. Mathematics & Physics / On Elastoplastic Torsion of a Rod with Multiply Connected Cross-Section

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2015 8 (3)
Authors
Senashov, Sergey I.; Kondrin, Alexander V.; Cherepanova, Olga N.
Contact information
Senashov, Sergey I.:Siberian State Aerospace University Krasnoyarsky Rabochy, 31, Krasnoyarsk, 660014 Russia; Kondrin, Alexander V.:Siberian State Aerospace University Krasnoyarsky Rabochy, 31, Krasnoyarsk, 660014 Russia; Cherepanova, Olga N.:Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
Keywords
conservation laws; exact solution; unknown boundary; torsion problem of straight rod; multiply connected cross-section
Abstract

The classical problem of torsion of a straight rod with convex contour of the cross-section is considered in the paper. The cross-section is multiply connected domain. It is assumed that the region of plastic deformation occupies the whole outer boundary. To solve the problem the conservation laws are used. In the case when the boundary is piecewise smooth the solution is found in explicit form. Computer programs that allow one to find the elastic-plastic boundary in a rod under torsion with any precision are developed. Examples of calculation of elastic-plastic boundaries from presented analytical formulas are given. The obtained results are in good agreement in comparison with known solutions and experimental data

Pages
343–351
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/19698