Abstract:
The linear contact problem for a system of small punches located periodically on a part of the boundary of an elastic foundation is studied. An averaged contact problem is derived using the Marchenko–Khruslov averaging theory. An asymptotic formula is obtained for the translational capacity of a smooth punch with a fine-grained flat base.
Citation:
I. I. Argatov, “Indentation of a punch with a fine-grained base into an elastic foundation”, Prikl. Mekh. Tekh. Fiz., 45:5 (2004), 176–186; J. Appl. Mech. Tech. Phys., 45:5 (2004), 764–773
\Bibitem{Arg04}
\by I.~I.~Argatov
\paper Indentation of a punch with a fine-grained base into an elastic foundation
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2004
\vol 45
\issue 5
\pages 176--186
\mathnet{http://mi.mathnet.ru/pmtf2433}
\elib{https://elibrary.ru/item.asp?id=17249251}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2004
\vol 45
\issue 5
\pages 764--773
\crossref{https://doi.org/10.1023/B:JAMT.0000037976.61963.b6}
Linking options:
https://www.mathnet.ru/eng/pmtf2433
https://www.mathnet.ru/eng/pmtf/v45/i5/p176
This publication is cited in the following 4 articles:
Ivan Argatov, Biologically-Inspired Systems, 15, Contact Problems for Soft, Biological and Bioinspired Materials, 2022, 103
I. G. Goryacheva, A. A. Yakovenko, “Indentation of a rigid cylinder with a flat rough base into a thin viscoelastic layer”, J. Appl. Mech. Tech. Phys., 62:5 (2021), 723–735
Ivan Argatov, “A mode I crack with multiple islands of ideal contact between the crack faces: An asymptotic model”, Mathematics and Mechanics of Solids, 26:8 (2021), 1147
M. Hintermüller, V. A. Kovtunenko, K. Kunisch, “Obstacle Problems with Cohesion: A Hemivariational Inequality Approach and Its Efficient Numerical Solution”, SIAM J. Optim., 21:2 (2011), 491
Citation in format AMSBIB
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