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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 8, Pages 34–43 (Mi ivm8816)  

This article is cited in 4 scientific papers (total in 4 papers)

The stress state of a plastic layer with a variable yield strength under a flat deformation

V. L. Dil'man, T. V. Karpeta

Chair Applied Mathematics, South Ural State University, 76 Lenin Ave., Chelyabinsk, 454080 Russia
Full-text PDF (196 kB) Citations (4)
References:
Abstract: We study the stress state of a plastic layer with a variable yield strength in a strip under a flat deformation with a tensile load. We approximately calculate the first integrals of the system of plastic equilibrium equations, obtain an analog of the first Hencky theorem, and solve the conjugation problem for stresses on the contact boundary.
Keywords: stress state, inhomogeneous plastic layer, flat deformation, Hencky integrals.
Received: 04.02.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 8, Pages 29–36
DOI: https://doi.org/10.3103/S1066369X13080045
Bibliographic databases:
Document Type: Article
UDC: 517.958+539.4
Language: Russian
Citation: V. L. Dil'man, T. V. Karpeta, “The stress state of a plastic layer with a variable yield strength under a flat deformation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 8, 34–43; Russian Math. (Iz. VUZ), 57:8 (2013), 29–36
Citation in format AMSBIB
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\by V.~L.~Dil'man, T.~V.~Karpeta
\paper The stress state of a~plastic layer with a~variable yield strength under a~flat deformation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 8
\pages 34--43
\mathnet{http://mi.mathnet.ru/ivm8816}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 8
\pages 29--36
\crossref{https://doi.org/10.3103/S1066369X13080045}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84881329611}
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  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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