Abstract:
A direct method of solving a boundary-value problem for a surface-hardened cylindrical specimen affected by a tensile load under creep conditions is proposed. Relations for estimating the kinetics of the stress-strain state in the hardened layer are obtained. The adequacy of the solution is verified by experimental data on relaxation of residual stresses in the hardened layer of a cylindrical specimen made of ÉI 691 steel at T=400∘C. The calculated and experimental residual stresses are demonstrated to be in good agreement.
Citation:
V. P. Radchenko, M. N. Saushkin, “Direct method of solving the boundary-value problem of relaxation of residual stresses in a hardened cylindrical specimen under creep conditions”, Prikl. Mekh. Tekh. Fiz., 50:6 (2009), 90–99; J. Appl. Mech. Tech. Phys., 50:6 (2009), 989–997
\Bibitem{RadSau09}
\by V.~P.~Radchenko, M.~N.~Saushkin
\paper Direct method of solving the boundary-value problem of relaxation of residual stresses in a hardened cylindrical specimen under creep conditions
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2009
\vol 50
\issue 6
\pages 90--99
\mathnet{http://mi.mathnet.ru/pmtf1841}
\elib{https://elibrary.ru/item.asp?id=16227840}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2009
\vol 50
\issue 6
\pages 989--997
\crossref{https://doi.org/10.1007/s10808-009-0133-8}
Linking options:
https://www.mathnet.ru/eng/pmtf1841
https://www.mathnet.ru/eng/pmtf/v50/i6/p90
This publication is cited in the following 12 articles:
V. P. Radchenko, V. E. Glebov, “A Method for Calculating the Relaxation of Residual Creep Stresses in a Surface-Hardened Cylinder with a Series of Periodically Arranged Semicircular Incisions under Thermal Exposure Conditions”, Mech. Solids, 59:7 (2024), 3735
V. P. Radchenko, A. E. Liberman, O. L. Blokhin, “Relaxation of residual stresses in a surface-hardened rotating cylinder under creep conditions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 226:1 (2022), 119–139
V. P. Radchenko, T. I. Berbasova, D. M. Shishkin, “Relaxation of residual stress in a surface-hardened prismatic sample in creep under biaxial loading”, J. Appl. Mech. Tech. Phys., 62:5 (2021), 861–869
V. P. Radchenko, V. V. Tsvetkov, M. N. Saushkin, “Residual stress relaxation in a reinforced cylinder under creep, loaded by an axial force, torque, and internal pressure”, J. Appl. Mech. Tech. Phys., 61:4 (2020), 583–592
V. P. Radchenko, E. E. Derevyanka, “The effect of elevated temperature and tensile force loading on the relaxation
of residual stresses in surface-hardened elements of the rod structure under creep conditions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 223:3 (2019), 497–524
V. P. Radchenko, E. E. Derevyanka, “Mathematical modeling of creep and residual stresses relaxation in surface hardened elements of statically indefinable rod systems”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 222:4 (2018), 647–668
V. P. Radchenko, V. A. Kirpichev, V. V. Lunin, A. P. Philatov, A. P. Morozov, “Experimental research of residual stresses kinetics in the hardened hollow cylindrical specimens
of D16T alloy at the axial tension under the creep conditions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 220:2 (2016), 290–305
V. P. Radchenko, T. I. Bochkova, V. V. Tsvetkov, “Residual stresses relaxation in surface-hardened half-space under creep conditions”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 219:3 (2015), 504–522
V. P. Radchenko, V. V. Tsvetkov, “Kinetics of the stress-strain state of surface hardened cylindrical specimen under complex stress state of creep”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 134 (2014), 93–108
M. N. Saushkin, V. P. Radchenko, “An approximation method for estimation of the residual stress relaxation in a face-hardened blade in a mass-force field under creep”, J. Mach. Manuf. Reliab., 42:3 (2013), 227
M. N. Saushkin, V. P. Radchenko, V. F. Pavlov, “Method of calculating the fields of residual stresses and plastic strains in cylindrical specimens with allowance for surface hardening anisotropy”, J. Appl. Mech. Tech. Phys., 52:2 (2011), 303–310
M. N. Saushkin, V. A. Smyslov, “Calculation Block of Initial Stress-Strain State for Constructions of a Program Complex Strelax”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 121 (2010), 318–321