Mechanics of Deformable Solids www.dvfu.ru/en/vestnikis
DOI: http://www.dx.doi.org/10.24866/2227-6858/2019-4-2
Prokudin A., Firsov S.
ALEXANDER PROKUDIN, Candidate of Engineering Sciences, Leading Researcher,e-mail: sunbeam_85@mail.ru
AuthorID: 415431, SPIN: 6812-2451, ORCID: 0000-0002-5156-424X,
ResearcherID: N-9344-2016, ScopusID: 35722777500
SERGEY FIRSOV, Junior Researcher, e-mail: firsov.s.new@yandex.ru
AuthorID: 783315, SPIN: 8267-2329, ORCID: 0000-0001-7446-6231,
ResearcherID: D-1966-2018, ScopusID: 56976208300
Institute of machinery and metallurgy of Far Eastern Branch of RAS
1 Metallurgov St., Komsomolsk-on-Amur, Russia, 681005
Elastoplastic deformation of a rotating hollow cylinder
with a hard coating on the inner and outer walls
Abstract: Consideration is being given to a hollow cylinder which is made of an ideal isotropic elastoplastic material in conditions of plain strain and with restriction on radial displacement on the inner and outer surfaces. It is assumed, that total strain in the cylinder is small and consists of elastic and plastic strains. Stresses are related with elastic strains by Hooke’s law, plastic strains are determined by the Tresca conditions and the law of plastic flow associated with it. The deformation of the cylinder occurs due to centrifugal forces arising from the rotation of the cylinder with an angular speed, which first increases to the selected maximum value, and then decreases until the cylinder stops completely. It is assumed that the rotation speed slowly changes with time and angular acceleration is negligible.It is established that plastic flow occurs simultaneously on both inner and outer surfaces of the cylinder. The rotation speed corresponding to the onset of plastic flow is found from the solution of the elasticity problem. Exact analytical solutions of the determining system of equations for each plastic field are found. The system of conditions at the boundaries between the regions providing continuity of the obtained solutions throughout the cylinder is given. The calculation results are illustrated by graphs of displacement, stresses and plastic deformations.
Keywords: rotating cylinder, plain strain, elastoplastic, plastic flow, Hooke’s law, Tresca condition, secondary plastic flow, residual stress.
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