Far Eastern Mathematical Journal

To content of the issue


Viscoplastic flow in a rotating hollow cylinder


Prokudin A.N., Firsov S.V.

2018, issue 2, P. 242-260


Abstract
The strains and stresses in a rotating hollow cylinder are investigated. Problem is studied using infinitesimal strain theory, Hooke's law, modified von Mises yield criterion and the flow rule associated with it. The exact steady solution is obtained. Nonsteady problem is solved by numerical algorithm based on finite difference method. The results of computations are presented by plots of the stresses, displacements and strains.

Keywords:
viscoplasticity, elasticity, rotating cylinder, finite difference

Download the article (PDF-file)

References

[1] A. Nadai, Plastichnost’ i razrusheniye tverdykh tel, t. 1, Izdatel’stvo inostrannoy literatury, M., 1954.
[2] P.G. Hodge Jr., M. Balaban, “Elastic–plastic analysis of a rotating cylinder”, International Journal of Mechanical Sciences, 4:6, (1962), 465–476, https://doi.org/10.1016/S0020-7403(62)80008-3.
[3] U. Gamer, M. Sayir, “Elastic-plastic stress distribution in a rotating solid shaft”, Zeitschrift fur angewandte Mathematik und Physik ZAMP, 35:5, (1984), 601–617, https://doi.org/10.1007/BF00952107.
[4] U. Gamer, W. Mack, I. Varga, “Rotating elastic-plastic solid shaft with fixed ends”, International Journal of Engineering Science, 35:3, (1997), 253–267, https://doi.org/10.1016/S0020-7225(96)00085-7.
[5] A.N. Eraslan, “On the linearly hardening rotating solid shaft”, European Journal of Mechanics-A/Solids, 22:2, (2003), 295–307, https://doi.org/10.1016/S0997-7538(02)00002-5.
[6] U. Gamer, R.H. Lance, “Stress distribution in a rotating elastic-plastic tube”, Acta Mechanica, 50:1–2, (1983), 1–8, https://doi.org/10.1007/BF01170437.
[7] W. Mack, “Rotating elastic-plastic tube with free ends”, International Journal of Solids and Structures, 27:11, (1991), 1461–1476, https://doi.org/10.1016/0020-7683(91)90042-E.
[8] A.N. Eraslan, “Von Mises’ yield criterion and nonlinearly hardening rotating shafts”, Acta Mechanica, 168:3–4, (2004), 129–144, https://doi.org/10.1007/s00707-004-0088-z.
[9] E. Arslan, W. Mack, A.N. Eraslan, “The rotating elastic-plastic hollow shaft conveying a hot medium”, Forschung im Ingenieurwesen, 74:1, (2010), 27–39, https://doi.org/10.1007/s10010-010-0113-4.
[10] H. Xiao, O.T. Bruhns, A. Meyers, “Elastoplasticity beyond small deformations”, Acta Mechanica, 182:1–2, (2006), 31–111, https://doi.org/10.1007/s00707-005-0282-7.
[11] A.A. Burenin, L.V. Kovtanyuk, Bol’shiye neobratimyye deformatsii i uprugoye posledeystviye, Dal’nauka, Vladivostok, 2013.

To content of the issue