Abstract:
A mathematical model of large deformations is used to solve a coupled boundary-value problem about the deformation of an elastic-viscoplastic material in a cylindrical viscometer with account for its heating due to wall friction. The deformation of a material enclosed between rigid surfaces due to the rotation of an inner cylindrical surface at a variable velocity is investigated. It is taken into account that a yield point depends on temperature. The motion of elastoplastic boundaries is described. Stresses, strains, and temperature in a thermoelastic deformation region and in a flow region both during the development of the flow and during its deceleration, including stopping, unloading, and cooling, are calculated. Residual stresses and deformations are determined.
Keywords:
elasticity, viscosity, plasticity, viscometric flow, large deformations, thermoplasticity.
Citation:
A. S. Begun, L. V. Kovtanyuk, “Viscometric flow of elastoplastic material heated by wall friction”, Prikl. Mekh. Tekh. Fiz., 62:5 (2021), 89–99; J. Appl. Mech. Tech. Phys., 62:5 (2021), 779–788
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. A. Burenin, A. V. Tkacheva, “Gadolin problem of assembling a prestressed two-layer pipe”, J. Appl. Mech. Tech. Phys., 64:5 (2024), 929–942
A. A. Burenin, L. V. Kovtanyuk, G. L. Panchenko, “Thermomechanical loading of an elastoviscoplastic heavy layer held by an inclined plane”, Continuum Mech. Thermodyn., 35:4 (2023), 1325
A. S. Begun, A. A. Burenin, L. V. Kovtanyuk, “Calculations of Large Nonisothermal Deformations of Elastoviscoplastic Materials”, Mech. Solids, 57:8 (2022), 2066