Viscoplastic flow in the material of a cylindrical layer suspended on a rigid shaft under the conditions of its variable rotation. (English. Russian original) Zbl 1512.74015
Mech. Solids 58, No. 2, 492-500 (2023); translation from Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela 2023, No. 2, 136-146 (2023).
MSC:
| 74C10 | Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) |
| 74K99 | Thin bodies, structures |
| 74G05 | Explicit solutions of equilibrium problems in solid mechanics |
| 74S20 | Finite difference methods applied to problems in solid mechanics |
Keywords:
elastoviscoplasticy; maximum octahedral Mises stress condition; rotating cylinder; inertial force; exact solution finite difference schemeReferences:
| [1] | Yu. N. Rabotnov, Creep Problems in Structural Members (Nauka, Moscow, 1966; North-Holland Publ. Comp., Amsterdam/London, 1969). |
| [2] | Nadai, A., Theory of Flow and Fracture of Solids (1950) |
| [3] | Gamer, U.; Sayir, M., Elastic-plastic stress distribution in a rotating solid shaft, ZAMP, 35, 601-617 (1984) · Zbl 0554.73028 · doi:10.1007/BF00952107 |
| [4] | W. Mack, “The rotating elastic-plastic solid shaft with free ends,” Tech. Mech., No. 12, 119-124 (1991). |
| [5] | W. Mack, “Rotating elastic-plastic tube with free ends,” Int. J. Solids Struct. 27 (11), 1461-1476 91991). doi:10.1016/0020-7683(91)90042-E · Zbl 0825.73353 |
| [6] | Gamer, U.; Mack, W.; Varga, I., Rotating elastic-plastic solid shaft with fixed ends, Int. J. Eng. Sci., 35, 253-267 (1997) · Zbl 0902.73050 · doi:10.1016/S0020-7225(96)00085-7 |
| [7] | Prokudin, A. N.; Firsov, S. V., Viscoplastic flow in a rotating hollow cylinder, Dal’nevost. Mat. Zh., 18, 242-260 (2018) · Zbl 1442.74247 |
| [8] | Prokudin, A. N.; Burenin, A. A., Elastoplastic analysis of a rotating solid shaft made of linear hardening material, Mech. Solids, 56, 1243-1258 (2021) · Zbl 1483.74016 · doi:10.3103/S0025654421070207 |
| [9] | Prokudin, A. N.; Burenin, A. A., Unified yield criterion and elastoplastic analysis of a rotating solid cylinder, J. Appl. Mech. Tech. Phy., 62, 760-770 (2021) · Zbl 1487.74015 · doi:10.1134/S0021894421050072 |
| [10] | Begun, A. S.; Burenin, A. A.; Kovtanyuk, L. V.; Prokudin, A. N., Irreversible deformation of a rotating disk having angular acceleration, Acta Mech., 232, 1917-1931 (2021) · Zbl 1478.74015 · doi:10.1007/s00707-021-02942-5 |
| [11] | Firsov, S. V.; Prokudin, A. N.; Burenin, A. A., Creep and plastic flow in a rotating cylinder with a rigid inclusion, J. Appl. Industr. Math., 13, 642-652 (2019) · Zbl 07630591 · doi:10.1134/S199047891904001X |
| [12] | Bykovtsev, G. I.; Ivlev, D. D., Plasticity Theory (1998), Vladivostok: Dal’nauka, Vladivostok |
| [13] | Mosolov, P. P.; Myasnikov, V. P., Mechanics of Rigidplastic Media (1981), Moscow: Nauka, Moscow · Zbl 0551.73002 |
| [14] | L. V. Kovtanyuk and A. V. Shitikov, “On the theory of large elastoplastic strains of materials with temperature and rheological effects taken into account,” Vestn. DVO RAN, No. 4, 87-93 (2006). |
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