Abstract:
Contact problems for elastic hollow cylinders made of a nonhomogeneous materia are considered. The cylinders are subjected to uniformly distributed internal or external pressure and interact with a stiff shroud or finite-length insert. Poisson's ratio (Young's modulus) of the elastic material varies along the radial coordinate. The problem equations are reduced to integral equations with respect to contact pressures. A singular asymptotic method, which is fairly effective for contact regions of sufficiently large length, is applied to solve the problem.
Keywords:
cylinder made of an elastic nonhomogeneous material, contact, asymptotic.
Citation:
D. A. Pozharskii, N. B. Zolotov, “Contact problems for hollow cylinders made of a nonhomogeneous material”, Prikl. Mekh. Tekh. Fiz., 60:6 (2019), 130–138; J. Appl. Mech. Tech. Phys., 60:6 (2019), 1088–1095
\Bibitem{PozZol19}
\by D.~A.~Pozharskii, N.~B.~Zolotov
\paper Contact problems for hollow cylinders made of a nonhomogeneous material
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2019
\vol 60
\issue 6
\pages 130--138
\mathnet{http://mi.mathnet.ru/pmtf380}
\crossref{https://doi.org/10.15372/PMTF20190614}
\elib{https://elibrary.ru/item.asp?id=41444471}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2019
\vol 60
\issue 6
\pages 1088--1095
\crossref{https://doi.org/10.1134/S0021894419060142}
Linking options:
https://www.mathnet.ru/eng/pmtf380
https://www.mathnet.ru/eng/pmtf/v60/i6/p130
This publication is cited in the following 1 articles:
V. A. Babeshko, O. V. Evdokimova, O. M. Babeshko, M. V. Zaretskaya, V. S. Evdokimov, “Exact Solution of the Wiener–Hopf Equation on the Segment for Contact Problems of the Theory of Cracks in a Layered Medium”, Dokl. Phys., 68:4 (2023), 120
Citation in format AMSBIB
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