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Journal of Siberian Federal University. Mathematics & Physics, 2021, Volume 14, Issue 6, Pages 679–689
DOI: https://doi.org/10.17516/1997-1397-2021-14-6-679-689 (Mi jsfu954) 		 
Modelling and simulation of deformation and failure of reinforced concrete beams under four-point bending

Vasily A. Belyaeva, Artem I. Boltaevbc, Luka S. Bryndinca, Sergey K. Golushkoc, Arsenii G. Goryninc, Vasily P. Shapeevca

a Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Novosibirsk, Russian Federation
b Research Complex of Technological Support Center LLC, Novosibirsk, Russian Federation
c Novosibirsk State University, Novosibirsk, Russian Federation
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DOI: https://doi.org/10.17516/1997-1397-2021-14-6-679-689
Abstract: A new mathematical model for the four-point bending of reinforced concrete beams is developed and investigated. The model takes into account multi-modulus concrete behavior, nonlinear stress-strain relationships, and damage evolution. An algorithm for a numerical implementation of the model is proposed. The corresponding boundary value problem is solved by the hp-version of the least-squares collocation method in combination with an acceleration of an iterative process based on Krylov subspaces and parallelizing. Special attention is given to the influence of mathematical model parameters on the results of numerical simulation. The results are compared with experimental data and three-dimensional simulation. A satisfactory agreement is shown.
Keywords: reinforced concrete, nonlinear stress-strain relationships, four-point bending, multi-modulus behavior, damage evolution, crack, modelling and simulation.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 121030500137-5
АААА-А19-119051590004-5
The research was carried out within the state assignment of Ministry of Science and Higher Education of the Russian Federation (project Nos. 121030500137-5 and АААА-А19-119051590004-5).
Received: 10.04.2021
Received in revised form: 10.06.2021
Accepted: 20.08.2021
Bibliographic databases:
Document Type: Article
UDC: 539.3+539.42+519.624+666.982.24
Language: English
Citation: Vasily A. Belyaev, Artem I. Boltaev, Luka S. Bryndin, Sergey K. Golushko, Arsenii G. Gorynin, Vasily P. Shapeev, “Modelling and simulation of deformation and failure of reinforced concrete beams under four-point bending”, J. Sib. Fed. Univ. Math. Phys., 14:6 (2021), 679–689
Citation in format AMSBIB
\Bibitem{BelBolBry21}
\by Vasily~A.~Belyaev, Artem~I.~Boltaev, Luka~S.~Bryndin, Sergey~K.~Golushko, Arsenii~G.~Gorynin, Vasily~P.~Shapeev
\paper Modelling and simulation of deformation and failure of reinforced concrete beams under four-point bending
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2021
\vol 14
\issue 6
\pages 679--689
\mathnet{http://mi.mathnet.ru/jsfu954}
\crossref{https://doi.org/10.17516/1997-1397-2021-14-6-679-689}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000757015300002}
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