Abstract:
Using a large deformations model generalized to the case of viscous properties of materials, we obtain analytic solutions to a number of quasistatic boundary value problems about viscometric flows of an elastoviscoplastic material in the gap between rigid coaxial cylindrical surfaces when, in a neighborhood of one of the rigid cylinders (both interior and exterior), there is a layer of elastic non-Newtonian lubrication and the conditions of rigid solder are fulfilled on the boundary surfaces. We study the conditions of the appearance of a flow in the lubricant layer and in the base material. We indicate the values of the maximum rotation speed under which the flow does not go over the lubricant layer.
Keywords:
elasticity, viscoplasticity, large deformations, residual stresses.
Citation:
A. A. Burenin, L. V. Kovtanyuk, A. S. Ustinova, “Viscometric flow of an incompressible elastoviscoplastic material in the presence of lubricant on the boundary surfaces”, Sib. Zh. Ind. Mat., 15:2 (2012), 43–55; J. Appl. Industr. Math., 6:4 (2012), 431–442
\Bibitem{BurKovUst12}
\by A.~A.~Burenin, L.~V.~Kovtanyuk, A.~S.~Ustinova
\paper Viscometric flow of an incompressible elastoviscoplastic material in the presence of lubricant on the boundary surfaces
\jour Sib. Zh. Ind. Mat.
\yr 2012
\vol 15
\issue 2
\pages 43--55
\mathnet{http://mi.mathnet.ru/sjim724}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3099835}
\transl
\jour J. Appl. Industr. Math.
\yr 2012
\vol 6
\issue 4
\pages 431--442
\crossref{https://doi.org/10.1134/S1990478912040047}
Linking options:
https://www.mathnet.ru/eng/sjim724
https://www.mathnet.ru/eng/sjim/v15/i2/p43
This publication is cited in the following 6 articles:
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, 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
L. V. Kovtanyuk, G. L. Panchenko, “On finite displacement of an elastoviscoplastic material in a gap between two rigid coaxial cylindrical surfaces”, J. Appl. Industr. Math., 12:1 (2018), 84–97
S. S. Begun, A. A. Burenin, L. V. Kovtanyuk, “Helical viscoplastic flow in a gap between rigid cylinders”, Mech. Sol., 52:6 (2017), 640–652
L. V. Kovtanyuk, G. L. Panchenko, “Nonisothermic deformation of the elastoviscoplastic flat heavy layer”, J. Appl. Industr. Math., 7:3 (2013), 396–403
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