Journal of Siberian Federal University. Mathematics & Physics / Elastoplastic Twisting of Rolled Section Rods Reinforced with Elastic Fibres

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. Prepublication
Authors
Cherepanova, Olga N.; Savostyanova, Irina L.; Senashov, Sergei I.; Evtikhov, Denis O.
Contact information
Cherepanova, Olga N. : Institute of Mathematics and Fundamental Informatics Siberian Federal University Krasnoyarsk, Russian Federation; ; Savostyanova, Irina L.: Scientific and Educational Center of the Institute of Space Research and High Technologies Reshetnev Siberian State University of Science and Technology Krasnoyarsk, Russian Federation; OCRID: 0000-0002-9675-7109; Senashov, Sergei I. : Reshetnev Siberian State University of Science and Technology Krasnoyarsk, Russian Federation; ; Evtikhov, Denis O. : Reshetnev Siberian State University of Science and Technology Krasnoyarsk, Russian Federation;
Keywords
conservation laws; elastic-plastic boundary; rod torsion; composite materials
Abstract

Formulas for calculating at any point the stress state of binding material of rods reinforced with elastic fibres are presented in this paper. The proposed solution method is called "conservation laws of differential equations". It allows one to construct an elastic-plastic boundary in a twisted rod and thereby evaluate its bearing capacity. The obtained relations provide the basis for developing computer programs that allow one to find the elastic-plastic boundary of the rod under study. As an example results of calculations for rods of the "H-beam" type profile are presented for various values of the torque parameter a and parameter λ

Pages
155–161
EDN
MECGDI
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/158123