Abstract:
The theory of large deformations is used to construct exact solutions of a sequence of one-dimensional boundary-value problems of the occurrence, development, and subsequent deceleration of viscometric flow of an elastoviscoplastic incompressible material located in the gap between rotating rigid coaxial cylindrical surfaces. In the quasistatic approximation allowing for slip of the material on its solid boundaries, the flow initiation conditions in the deformed material and the laws of motion of the boundary surfaces of the flow of this material both during its development and deceleration are determined. The parameters of the stress-strain states in the regions of reversible deformation and flow in all stages of the process, including the cessation of the flow and the complete unloading by rotation of the solid boundary in the opposite direction, are calculated.
Keywords:
elasticity, viscoplasticity, large deformations, viscometric flows.
Citation:
A. S. Begun, A. A. Burenin, L. V. Kovtanyuk, “Flow of an elastoviscoplastic material between rotating cylindrical surfaces with nonrigid cohesion”, Prikl. Mekh. Tekh. Fiz., 56:2 (2015), 146–158; J. Appl. Mech. Tech. Phys., 56:2 (2015), 293–303
\Bibitem{BegBurKov15}
\by A.~S.~Begun, A.~A.~Burenin, L.~V.~Kovtanyuk
\paper Flow of an elastoviscoplastic material between rotating cylindrical surfaces with nonrigid cohesion
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2015
\vol 56
\issue 2
\pages 146--158
\mathnet{http://mi.mathnet.ru/pmtf973}
\crossref{https://doi.org/10.15372/PMTF20150215}
\elib{https://elibrary.ru/item.asp?id=23592079}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2015
\vol 56
\issue 2
\pages 293--303
\crossref{https://doi.org/10.1134/S0021894415020157}
Linking options:
https://www.mathnet.ru/eng/pmtf973
https://www.mathnet.ru/eng/pmtf/v56/i2/p146
This publication is cited in the following 6 articles:
G. M. Sevastyanov, A. S. Begun, A. A. Burenin, “Finite-Strain Elastic-Plastic Circular Shear in Materials with Isotropic Hardening”, Prikladnaâ matematika i mehanika, 88:2 (2024), 313
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. A. Burenin, E. A. Gerasimenko, L. V. Kovtanyuk, G. M. Sevastyanov, “ON THE DYNAMICS OF UNLOADING OF A CYLINDRICAL ELASTIC-VISCOPLASTIC LAYER UNDER AZIMUTHAL SHEAR”, Mech. Solids, 57:1 (2022), 65
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
Alexandra S. Begun, Anatoly A. Burenin, Larisa V. Kovtanyuk, Alexander O. Lemza, “On the mechanisms of production of large irreversible strains in materials with elastic, viscous and plastic properties”, Arch Appl Mech, 90:4 (2020), 829
A. S. Begun, A. A. Burenin, L. V. Kovtanyuk, “Large irreversible deformations under conditions of changing mechanisms of their formation and the problem of definition of plastic potentials”, Dokl. Phys., 61:9 (2016), 463