S. I. Senashov, O. V. Gomonova, “On elastoplastic torsion of rod under the action of a pressure changing along the generatrix”, Вестн. ЧГПУ. Сер. мех. пред. сост., 2015, Issue 1(23),Pages <nobr>75

On elastoplastic torsion of rod under the action of a pressure changing along the generatrix

S. I. Senashov^a, O. V. Gomonova^b

^a Dr. Sci. Phys. & Math., Professor, Siberian State Aerospace University named after Academician M. F. Reshetnev, Krasnoyarsk
^b PhD, Assoc. Professor, Siberian State Aerospace University named after Academician M. F. Reshetnev, Krasnoyarsk

Abstract: The classical problem of torsion of a straight rod which cross-section is limited by a convex contour is solved. It is assumed that the plastic domain covers entirely the external boundary. The conservation laws are used to solve the problem. For a piecewise smooth boundary a solution in quadrature is found. Programs which permit construction of plastic and elastic regions in a twisted rod to any precision are written. Their testing for the known solutions indicates the coincidence of results.

Keywords: conservation law, exact solution, unknown boundary, the problem of torsion of a straight rod.

UDC: 539.374