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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2021-2pp.139-149

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Sharafutdinov G.Z., "Using the Hereditary form of Constitutive Relations for Viscosity in the Description of the Processes of Cyclic High-Temperature Deformation of Metals," Mech. Solids. 56 (2), 139-149 (2021)
Year 2021 Volume 56 Number 2 Pages 139-149
DOI 10.3103/S0025654421020126
Title Using the Hereditary form of Constitutive Relations for Viscosity in the Description of the Processes of Cyclic High-Temperature Deformation of Metals
Author(s) Sharafutdinov G.Z. (Institute of Mechanics, Lomonosov Moscow State University, Moscow, 119192 Russia, sharaf@imec.msu.ru)
Abstract The previously proposed piecewise-linear form of the constitutive relations for the relation between stresses and strains has been applied to the description of the processes of cyclic high-temperature deformation of metals and alloys in the regions of linear and nonlinear viscoelasticity. The behavior of two alloys is investigated: the high-temperature and heat-resistant KhN55MVTs alloy at a temperature of 900°Ñ and D16T duralumin at a temperature of 150°Ñ. Methods for determining the material functions included in these ratios and the linearity limit based on the results of experimental studies are presented. The mechanical characteristics of the alloys under study are obtained and their application is demonstrated in the description of various deformation processes, including cyclic deformation in the linear and nonlinear regions under loading according to piecewise-step and sinusoidal laws.
Keywords high-temperature deformation of metals, linear and non-linear viscoelasticity, uniaxial tension of rods, torsion of tubular specimens, cyclic deformation
Received 28 September 2020Revised 04 October 2020Accepted 11 October 2020
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