Abstract:
This paper considers the deformation and viscoplastic flow of a non-Newtonian material enclosed between coaxial rigid cylindrical surfaces, each of which performs a rotation followed by a stop and a rotation in the opposite direction. The problem is solved using the model of large elastoviscoplastic deformations, in contrast to the classical solutions obtained using the model of a rigid viscoplastic body. The parameters of the viscosimetric process are calculated in both the region of viscoplastic flow developed and the region of elastic deformation.
Keywords:
elasticity, viscoplasticity, large strains, residual stresses.
Citation:
A. A. Burenin, L. V. Kovtanyuk, A. S. Ustinova, “Accounting for the elastic properties of a non-Newtonian material under its viscosimetric flow”, Prikl. Mekh. Tekh. Fiz., 49:2 (2008), 143–151; J. Appl. Mech. Tech. Phys., 49:2 (2008), 277–284
\Bibitem{BurKovUst08}
\by A.~A.~Burenin, L.~V.~Kovtanyuk, A.~S.~Ustinova
\paper Accounting for the elastic properties of a non-Newtonian material under its viscosimetric flow
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2008
\vol 49
\issue 2
\pages 143--151
\mathnet{http://mi.mathnet.ru/pmtf1892}
\elib{https://elibrary.ru/item.asp?id=11665472}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2008
\vol 49
\issue 2
\pages 277--284
\crossref{https://doi.org/10.1007/s10808-008-0038-y}
Linking options:
https://www.mathnet.ru/eng/pmtf1892
https://www.mathnet.ru/eng/pmtf/v49/i2/p143
This publication is cited in the following 4 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. S. Begun, L. V. Kovtanyuk, “Viscometric flow of elastoplastic material heated by wall friction”, J. Appl. Mech. Tech. Phys., 62:5 (2021), 779–788
A. S. Begun, A. A. Burenin, L. V. Kovtanyuk, A. N. Prokudin, “On the Sequential Change in the Mechanisms of Production of Large Irreversible Deformations”, Mech. Solids, 56:7 (2021), 1352