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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2022, Volume 63, Issue 1, Pages 138–152
DOI: https://doi.org/10.15372/PMTF20220118 (Mi pmtf19) 		 
Sudden loading of an elastoplastic rod interacting with the environment

A. Begmatov, N. T. Mamatova

National University of Uzbekistan, 100174, Tashkent, Uzbekistan
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DOI: https://doi.org/10.15372/PMTF20220118
Abstract: The effect of external dry friction on the stress-strain state of a semi-infinite elastoplastic rod under sudden loading is under study. It is assumed that the behavior of the rod is described by the Prandtl model, and friction with the environment moving at a constant velocity occurs according to the Coulomb law with different values of the friction coefficient in the perturbed and unperturbed regions of the rod. Analytical solutions are obtained. The conditions under which the rod is an elastic body in a region (part of it) between the fronts of plastic and elastic waves are determined.
Keywords: elastoplastic, dry friction, elastic and plastic waves, yield line.
Received: 20.07.2020
Revised: 21.10.2020
Accepted: 30.11.2020
English version:
Journal of Applied Mechanics and Technical Physics, 2022, Volume 63, Issue 1, Pages 118–131
DOI: https://doi.org/10.15372/PMTF20220118
Bibliographic databases:
Document Type: Article
UDC: 539.31
Language: Russian
Citation: A. Begmatov, N. T. Mamatova, “Sudden loading of an elastoplastic rod interacting with the environment”, Prikl. Mekh. Tekh. Fiz., 63:1 (2022), 138–152; J. Appl. Mech. Tech. Phys., 63:1 (2022), 118–131
Citation in format AMSBIB
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\by A.~Begmatov, N.~T.~Mamatova
\paper Sudden loading of an elastoplastic rod interacting with the environment
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2022
\vol 63
\issue 1
\pages 138--152
\mathnet{http://mi.mathnet.ru/pmtf19}
\crossref{https://doi.org/10.15372/PMTF20220118}
\elib{https://elibrary.ru/item.asp?id=48064247}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2022
\vol 63
\issue 1
\pages 118--131
\crossref{https://doi.org/10.15372/PMTF20220118}
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