Abstract:
This paper presents a solution of a sequence of coupled problems of thermoelastoplasticity which study the occurrence and development of flow in a material layer under pure shear conditions, and its subsequent deceleration by slowly removing the load. The homogeneity of the stress state of the layer is excluded due to the coupling of thermal and deformation processes in the presence of a temperature dependence of the yield point. An additional source of heat is taken to be its production by friction of the material layer on a rough plane. The conditions for the occurrence of viscoplastic flow in the deformable material layer and the laws of motion of the boundaries between the elastic and plastic regions in this layer are determined, and the flow velocities and large irreversible and reversible deformations are calculated. It is shown that reversible deformations cause stresses in the flow region and the moving elastically deformed core.
Keywords:
elasticity, plasticity, toughness, heat conduction, large deformations.
Citation:
A. A. Burenin, L. V. Kovtanyuk, G. L. Panchenko, “Development and deceleration of viscoplastic flow in a layer heated by friction on a rough plane”, Prikl. Mekh. Tekh. Fiz., 56:4 (2015), 101–111; J. Appl. Mech. Tech. Phys., 56:4 (2015), 626–635
\Bibitem{BurKovPan15}
\by A.~A.~Burenin, L.~V.~Kovtanyuk, G.~L.~Panchenko
\paper Development and deceleration of viscoplastic flow in a layer heated by friction on a rough plane
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2015
\vol 56
\issue 4
\pages 101--111
\mathnet{http://mi.mathnet.ru/pmtf924}
\crossref{https://doi.org/10.15372/PMTF20150410}
\elib{https://elibrary.ru/item.asp?id=24502323}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2015
\vol 56
\issue 4
\pages 626--635
\crossref{https://doi.org/10.1134/S0021894415040100}
Linking options:
https://www.mathnet.ru/eng/pmtf924
https://www.mathnet.ru/eng/pmtf/v56/i4/p101
This publication is cited in the following 11 articles:
M. I. Aleutdinova, V. V. Fadin, “Structure of the Contact Layers of Steel and Their Deterioration in Dry Sliding Against Steel Under High-Density Electric Currents at Different Turn Ratios of a Supply Transformer”, Russ Phys J, 67:1 (2024), 1
L. V. Kovtanyuk, G. L. Panchenko, E. O. Popova, “Heat Production due to Creep Strains and Wall Viscoplastic Flow in the Plug Material in a Round Pipe under the Action of Variable Pressure Difference”, Mech. Solids, 59:5 (2024), 2694
M. I. Aleutdinova, V. V. Fadin, “Effect of the Sliding Speed and Electric Current on the Wear and Contact Layer Structures of the Steel–Steel Friction Couple”, Russ Phys J, 66:1 (2023), 1
M. I. Aleutdinova, V. V. Fadin, “Variations in the Contact Layer Structure of Low-Carbon Steel in Sliding Against a Steel Counterbody with Different Nominal Contact Areas Under a High-Density Electric Current”, Russ Phys J, 66:6 (2023), 605
M.I. Aleutdinova, Yu.I. Pochivalov, V.V. Fadin, “Viscous plastic flow in contact layers as a method of stress relaxation in dry sliding of steel against steel under electric current”, Materials Letters, 328 (2022), 133050
A. S. Begun, A. A. Burenin, L. V. Kovtanyuk, “Calculations of Large Nonisothermal Deformations of Elastoviscoplastic Materials”, Mech. Solids, 57:8 (2022), 2066
A. A. Burenin, L. V. Kovtanyuk, G. L. Panchenko, “On the Calorific Value of a Rectilinear Elastoviscoplastic Flow, Taking into Account the Production of Heat Due to the Friction of a Material Against its Boundary Rough Surface”, Mech. Solids, 57:5 (2022), 984
M. I. Aleutdinova, V. V. Fadin, A. V. Kolubaev, “Average Temperature Limits of the Dry Sliding Surface of Steel under High-Density Electric Current”, J. Frict. Wear, 43:1 (2022), 35
A. S. Begun, A. A. Burenin, L. V. Kovtanyuk, “LARGE DEFORMATIONS AND HEATING OF ELASTOVISCOPLASTIC MATERIAL IN A CYLINDRICAL VISCOMETER”, Mech. Solids, 57:3 (2022), 532
A. S. Begun, L. V. Kovtanyuk, “Viscometric flow of elastoplastic material heated by wall friction”, J. Appl. Mech. Tech. Phys., 62:5 (2021), 779–788
V. V. Fadin, M. I. Aleutdinova, Yu. I. Pochivalov, AIP Conference Proceedings, 2053, 2018, 040022