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Journal of Siberian Federal University. Mathematics & Physics, 2022, Volume 15, Issue 5, Pages 586–597
DOI: https://doi.org/10.17516/1997-1397-2022-15-5-586-597 (Mi jsfu1025) 		 
Study of a deformation localization direction in slow motion of a granular medium

Olga I. Kuzovatova

Siberian Federal University, Krasnoyarsk, Russian Federation
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DOI: https://doi.org/10.17516/1997-1397-2022-15-5-586-597
Abstract: This paper is devoted to the study of the direction of the deformation localization lines in a slow gravity flow of a granular medium in convergent channels with various geometric characteristics. Variational principles of the theory of limiting equilibrium, established within the framework of a special mathematical model of a material that resist tension and compression differently, are used. Assuming a linear deformation localization zone we obtain safety factors and carry out their comparative analysis.
Keywords: variational inequality, materials with different strengths, deformation localization.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2022-873
This work is supported by Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation in the framework of the establishment and development of regional Centers for Mathematics Research and Education (Agreement no. 075-02-2022-873).
Received: 09.11.2021
Received in revised form: 18.03.2022
Accepted: 25.06.2022
Document Type: Article
UDC: 539.37
Language: English
Citation: Olga I. Kuzovatova, “Study of a deformation localization direction in slow motion of a granular medium”, J. Sib. Fed. Univ. Math. Phys., 15:5 (2022), 586–597
Citation in format AMSBIB
\Bibitem{Kuz22}
\by Olga~I.~Kuzovatova
\paper Study of a deformation localization direction in slow motion of~a~granular medium
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2022
\vol 15
\issue 5
\pages 586--597
\mathnet{http://mi.mathnet.ru/jsfu1025}
\crossref{https://doi.org/10.17516/1997-1397-2022-15-5-586-597}
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