Journal of Siberian Federal University. Mathematics & Physics / Modelling and Simulation of Deformation and Failure of Reinforced Concrete Beams under Four-Point Bending

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2021 14 (6)
Authors
Belyaev, Vasily A.; Boltaev, Artem I.; Bryndin, Luka S.; Golushko, Sergey K.; Gorynin, Arsenii G.; Shapeev, Vasily P.
Contact information
Belyaev, Vasily A.: Khristianovich Institute of Theoretical and Applied Mechanics SB RAS Novosibirsk, Russian Federation; OCRID: 0000-0001-5901-2880; Boltaev, Artem I.: Novosibirsk State University Novosibirsk, Russian Federation; Research Complex of Technological Support Center LLC Novosibirsk, Russian Federation; OCRID: 0000-0003-1317-9903; Bryndin, Luka S.: Khristianovich Institute of Theoretical and Applied Mechanics SB RAS Novosibirsk, Russian Federation; Novosibirsk State University Novosibirsk, Russian Federation; OCRID: 0000-0002-0211-5800; Golushko, Sergey K.: Novosibirsk State University Novosibirsk, Russian Federation; OCRID: 0000-0002-0207-7648; Gorynin, Arsenii G.: Novosibirsk State University Novosibirsk, Russian Federation; OCRID: 0000-0002-0250-5008; Shapeev, Vasily P.: Khristianovich Institute of Theoretical and Applied Mechanics SB RAS Novosibirsk, Russian Federation; Novosibirsk State University Novosibirsk, Russian Federation; OCRID: 0000-0001-6761-7273
Keywords
reinforced concrete; nonlinear stress-strain relationships; four-point bending; multi-modulus behavior; damage evolution; crack; modelling and simulation
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

Pages
679–689
DOI
10.17516/1997-1397-2021-14-6-679-689
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/144760