Abstract
This paper considers the contact problem of interaction of a rigid die, a rigid band, and a rigid insert with a viscoelastic layer, a viscoelastic cylinder, and viscoelastic space with a cylindrical cavity, respectively. It is assumed that the die, band, and insert move at a constant velocity along the boundaries of the viscoelastic bodies. In the first stage, the displacement of the boundaries of the above-mentioned bodies is determined as a function of the applied normal loads ignoring friction in the contact area. In the second stage, integral equations are derived to determine contact pressure in the contact problems. In the third stage, approximate solutions of the integral equations are constructed using a modified Multhopp-Kalandia method.
Similar content being viewed by others
References
Yu. N. Rabotnov, Elements of Hereditary Solid-State Mechanics [in Russian], Nauka, Moscow (1977).
V. M. Aleksandrov and B. L. Romalis, Contact Problems in Machine Engineering [in Russian], Mashinostroenie, Moscow (1986).
I. I. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, New York (1980).
V. M. Aleksandrov and E. V. Kovalenko, Problems of Mechanics of Continuous Media with Mixed Boundary Conditions [in Russian], Nauka, Moscow (1986).
Author information
Authors and Affiliations
Corresponding author
Additional information
__________
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 5, pp. 162–168, September–October, 2009.
Rights and permissions
About this article
Cite this article
Aleksandrov, V.M., Mark, A.V. Quasistatic periodic contact problem for a viscoelastic layer, a cylinder, and a space with a cylindrical cavity. J Appl Mech Tech Phy 50, 866–871 (2009). https://doi.org/10.1007/s10808-009-0117-8
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10808-009-0117-8