Abstract
This paper presents a solution of a sequence of one-dimensional boundary-value problems of thermal stresses defining the elastic–plastic deformation processes used in the shrink fitting of cylindrical bodies. The initiation and development of plastic flow in the materials of the assembly elements are studied taking into account the temperature dependence of the yield stress of these materials. During temperature equalization, the flow can slow down, followed by unloading and formation of a residual stress field providing tension. The conditions of formation and motion of the boundaries of the elastic and plastic states in plastic flow and during unloading are determined.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
I. M. Belkin, Tolerances and Fits (Mashinostroenie, Moscow, 1992) [in Russian].
V. D. Myagkov, M. A. Polei, A. B. Romanov, and V. A. Goraginskii, Tolerances and Fits: Handbook (Mashinostroenie, Leningrad, 1982) [in Russian].
S. N. Vladimirov, S. K. Zeman, and E. V. Krokhmal’, “Mathematical Model of Contact Zone Deformation for Axisymmetric Solids Conjugated with Shrinkage Fit,” Issledovano v Rossii (Electron. J.), No. 8, 1682–1693 (2005).
D. R. Bland, “Elastoplastic Thick-Walled Tubes of Work-Hardening Material Subject to Internal and External Pressures and to Temperature Gradients,” J. Mech. Phys. Solids 4, 209–229 (1956).
M. Bengeri and W. Mack, “The Influence of the Temperature Dependence of the Yield Stress on the Stress Distribution in a Thermally Assembled Elastic–Plastic Shrink Fit,” Acta Mech. 103, 243–257 (1994).
A. Kovacs, “Residual Stresses in Thermally Loaded Shrink Fits,” Period. Polytech., Ser. Mech. Eng. 40 (2), 103–112 (1996).
M. G. Lozinskii, Structure and Properties of Metals and Alloys at High Temperatures (Metallurgiya, Moscow, 1963) [in Russian].
A. F. Belov, Structure and Properties of Aeronautical Materials (Metallurgiya, Moscow, 1989) [in Russian].
A. V. Lykov, Theory of Heat Conduction (Vysshaya Shkola, 1967) [in Russian].
A. D. Kovalenko, Introduction to Thermoelasticity (Naukova Dumka, Kiev, 1965) [in Russian].
G. V. Kuznetsov and M. A. Sheremet, Difference Methods for Solving Heat-Conduction Problems: Handbook (Tomsk Polytech. Univ., Tomsk, 2007) [in Russian].
B. A. Boley and J. H. Weiner, Theory of Thermal Stresses (Wiley, New York, 1960].
G. I. Bykovtsev and D. D. Ivlev, Theory of Plasticity (Dal’nauka, Vladivostok, 1998) [in Russian].
L. V. Kovtanyuk, “Extrusion of an Elastoviscoplastic Material through a Rigid Circular Cylindrical Die,” Dokl. Akad. Nauk 400 (6), 764–767 (2005).
A. A. Burenin and L. V. Kovtanyuk, Large Irreversible Strains and Elastic Aftereffect (Dal’nauka, Vladivostok, 2013) [in Russian].
A. A. Burenin and L. V. Kovtanyuk, “Development and Deceleration of Elastoplastic Flow in a Cylindrical Tube,” Prikl. Mat. Mekh. 77 (5), 788–798 (2013).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 57, No. 3, pp. 208–216, May–June, 2016.
Rights and permissions
About this article
Cite this article
Dats, E.P., Tkacheva, A.V. Technological thermal stresses in the shrink fitting of cylindrical bodies with consideration of plastic flows. J Appl Mech Tech Phy 57, 569–576 (2016). https://doi.org/10.1134/S0021894416030214
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021894416030214