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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2018, Volume 59, Issue 1, Pages 120–128
DOI: https://doi.org/10.15372/PMTF20180113 (Mi pmtf624) 		 
Equilibrium state of a reliable elastoplastic medium with an expanding spherical cavity

K. V. Berdnikov, V. V. Struzhanov

Institute of Engineering Science, Urals Branch, Russian Academy of Sciences, Ekaterinburg, 620049, Russia
Full-text PDF (242 kB)
DOI: https://doi.org/10.15372/PMTF20180113
Abstract: This paper describes the problem of a stress-strain state arising from expansion of a spherical cavity under increasing internal pressure. The properties of a medium are described by a single curve with a descending section (Hencky medium with softening) under the condition of nonpositivity of volume deformation. An iteration procedure for calculation of equilibrium parameters is proposed. This procedure is based on the method of simple iterations. Numerical calculations confirming the developed technique are presented.
Keywords: Hencky medium, polar-symmetric deformation, softening, method of simple iterations, convergence, stability.
Received: 15.07.2016
Revised: 09.01.2017
English version:
Journal of Applied Mechanics and Technical Physics, 2018, Volume 59, Issue 1, Pages 104–111
DOI: https://doi.org/10.1134/S0021894418010133
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: K. V. Berdnikov, V. V. Struzhanov, “Equilibrium state of a reliable elastoplastic medium with an expanding spherical cavity”, Prikl. Mekh. Tekh. Fiz., 59:1 (2018), 120–128; J. Appl. Mech. Tech. Phys., 59:1 (2018), 104–111
Citation in format AMSBIB
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\by K.~V.~Berdnikov, V.~V.~Struzhanov
\paper Equilibrium state of a reliable elastoplastic medium with an expanding spherical cavity
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2018
\vol 59
\issue 1
\pages 120--128
\mathnet{http://mi.mathnet.ru/pmtf624}
\crossref{https://doi.org/10.15372/PMTF20180113}
\elib{https://elibrary.ru/item.asp?id=32474746}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2018
\vol 59
\issue 1
\pages 104--111
\crossref{https://doi.org/10.1134/S0021894418010133}
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