Analysis of Elastoplastic Deformation of a Rotating Solid Cylinder under the General Piecewise-Linear Plasticity Condition
A. N. Prokudin, A. A. Burenin
Institute of Mechanical Engineering and Metallurgy, Khabarovsk Federal Research Center, Far-East Branch, Russian Academy of Sciences, Komsomolsk-on-Amur, 681005, Russia
Keywords: rotating cylinder, stresses, strains, elastoplasticity, piecewise-linear condition, exact solution
Abstract
Results of the analysis of elastoplastic deformation of a rotating solid cylinder with fixed end faces under monotonic loading by centrifugal forces are reported. The theory of small elastoplastic strains is used in formulating the problem. The general piecewise-linear condition of plasticity and the associated law of the flow are used for calculating the plastic component of the strain. The chosen plasticity condition depends on the parameter that can be considered as a material characteristic. An exact solution of the governing system of equations is derived. Regular features of plastic flow development are found. It is demonstrated that six plasticity domains are formed in the cylinder in the general case; these domains correspond to different ribs and faces of the surface defined by the general piecewise-linear condition. The dependence of the critical velocity of cylinder rotation on the parameter included into the plasticity condition is derived.
DOI: 10.1134/S0021894421050072
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