b962d504-2032-46ea-840e-e1378715ced720251114124814609wseas:wseasmdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON APPLIED AND THEORETICAL MECHANICS2224-34291991-874710.37394/232011http://wseas.org/wseas/cms.action?id=4006128202512820252010.37394/232011.2025.20https://wseas.com/journals/mechanics/2025.phpIoannisDoltsinisInstitute of Statics and Dynamics of Aerospace Structures Faculty of Aerospace Engineering and Geodesy University of Stuttgart Pfaffenwaldring 27, 70569 Stuttgart GERMANYThe plastic deformation of a thin-walled circular cylinder is considered for a specified sequence of torsion and tension. The case was originally intended for contrasting in general terms kinematic hardening with the isotropic hardening model. With the present account the analysis is accomplished presenting the closed-form solution for a linear yield stress and exploring approximations. In addition to the direct analytic treatment iterative procedures, numerical and successive functional update are investigated.111420251114202514815817https://wseas.com/journals/mechanics/2025/a345111-012(2025).pdf10.37394/232011.2025.20.17https://wseas.com/journals/mechanics/2025/a345111-012(2025).pdfM. Feigen, Inelastic behavior under combined tension and torsion, Proc. 2nd USA Congr. of Appl. Mech., 1954, pp. 469–476. 10.1016/0021-8928(58)90086-8Iu.I. Kadashevich and V.V. Novozhilov, The theory of plasticity which takes into account residual microstresses (PMM Vol. 22, 1958, pp. 78–89) TPMM, Vol. 22, 1959, pp. 104–118. 10.1007/bf01198436A.F. Kregers, Plastic strains under combined loading in tension and torsion, Polymer Mechanics, Vol. 2, 1966, pp. 12—16. A. Rusinko, Feigen’s phenomenon in terms of the synthetic theory, Int. Journal Engng. Research and Applications, Vol. 4, No. 3, 2014, pp.172–180. 10.4236/msce.2014.211003A. Rusinko, and D. Fenyvesi, On the advantages of the theories of plasticity with singular loading surface, Journal of Materials Science and Chemical Engineering, Vol. 2, 2014, pp. 14–19. I. Doltsinis, Elements of Plasticity, 2nd Edition, WIT Press, Southampton 2010. 10.1098/rspa.1987.0048D. W. A. Rees, Applications of classical plasticity theory to non-radial loading paths, Proc. Royal Soc. London. A, Math. and Phys. Scs. Vol. 410, No. 1839, 1987, pp. 443–475. R. Hill, The Mathematical Theory of Plasticity, Clarendon Press, Oxford 1950. 10.1115/1.4011389W. Prager, A new method of analyzing stresses and strains in work-hardening plastic solids, J. appl. Mech. Vol.23, 1956, pp. 493-496. N.L. Doltsinis, Personal communication, ISST University of Muenster 2023. I. Doltsinis, Large Deformation Processes of Solids, WIT Press, Southampton 2012. 10.1002/piuz.19800110415(text in German) I.N. Bronstein and K.A. Semendjajew, Taschenbuch der Mathematik, 6. Auflage, Verlag Harri Deutsch, Zuerich und Frankfurt/M 1966.