Abstract
Analysis of the plane stress state of an elastic circular cylinder under coating pressure yields approximate dependences of the maximum shear stress (over the depth) on the cylinder radius. The applicability of classical Hertz–Belyaev solutions in the contact of elastic cylinders is investigated (in terms of the smallness of the contact area).
Similar content being viewed by others
References
Johnson, K.L., Contact Mechanics, Cambridge: Cambridge Univ. Press, 1985.
Belyaev, N.M., Appearance of local stresses related to crushing, in Trudy po teorii uprugosti i plastichnosti (Research Works on the Theory of Elasticity and Plasticity), Moscow: Gos. Izd. Tekh. Teor. Lit., 1957, pp. 215–260.
Koval’skii, B.S., Raschet detalei na mestnoe szhatie (Calculation of the Machine Parts for Local Compression), Kharkov: Khark. Vyssh. Kom.-Inzh. Uchilishche, 1967.
Zhuravlev, G.A., About inconsistencies of classical solutions to Hertz contact tasks on the contact of real bodies, Sovrem. Probl. Teor. Mashin, 2015, no. 3, pp. 232–238.
Zhuravlev, G.A., Azarov, A.D., and Babenko, I.S., Determination of deep stresses in the contact area of elastic cylinders, Izv. Vyssh. Uchebn. Zaved., Sev.-Kavk. Reg., Estestv. Nauki, 2013, no. 1 (173), pp. 26–30.
Muskhelishvili, N.I., Nekotorye osnovnye zadachi matematicheskoi teorii uprugosti (Some General Tasks of Mathematical Theory of Elasticity), Moscow: Nauka, 1966.
Azarov, A.D., Zhuravlev, G.A., and Babenko, I.S., Analysis of the influence of curvature of the contacting elastic cylinders on their stress state, Izv. Vyssh. Uchebn. Zaved., Sev.-Kavk. Reg., Estestv. Nauki, 2013, no. 2 (174), pp. 21–26.
Azarov, A.D., Zhuravlev, G.A., and Piskunov, A.S., Comparative analysis of analytical and numerical methods for solution of the plane problem in the contact area of elastic cylinders, Innovatsionnaya Nauka, 2015, nos. 1–2, pp. 5–13.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.D. Azarov, G.A. Zhuravlev, 2016, published in Vestnik Mashinostroeniya, 2016, No. 10, pp. 37–42.
About this article
Cite this article
Azarov, A.D., Zhuravlev, G.A. Influence of cylinder curvature on the maximum shear stress at contact. Russ. Engin. Res. 37, 13–18 (2017). https://doi.org/10.3103/S1068798X17010038
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1068798X17010038