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USING THE HEREDITARY FORM OF CONSTITUTIVE RELATIONS FOR VISCOSITY IN THE DESCRIPTION OF THE PROCESSES OF CYCLIC HIGH-TEMPERATURE DEFORMATION OF METALS

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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°С and D16T duralumin at a temperature of 150°С. 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.

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Funding

The study was carried out with partial funding of the RFBR project No. 17-08-00210.

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Authors and Affiliations

  1. Institute of Mechanics, Lomonosov Moscow State University, 119192, Moscow, Russia

    G. Z. Sharafutdinov

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  1. G. Z. Sharafutdinov
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Correspondence to G. Z. Sharafutdinov.

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Translated by A. A. Borimova

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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, 139–149 (2021). https://doi.org/10.3103/S0025654421020126

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  • DOI: https://doi.org/10.3103/S0025654421020126

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