TY - JOUR

T1 - Modelling and simulation of deformation and failure of reinforced concrete beams under four-point bending

AU - Belyaev, Vasily A.

AU - Boltaev, Artem I.

AU - Bryndin, Luka S.

AU - Golushko, Sergey K.

AU - Gorynin, Arsenii G.

AU - Shapeev, Vasily P.

N1 - Funding Information: 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). Publisher Copyright: © Siberian Federal University. All rights reserved.

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - Crack

KW - Damage evolution

KW - Four-point bending

KW - Modelling and simulation

KW - Multi-modulus behavior

KW - Nonlinear stress-strain relationships

KW - Reinforced concrete

UR - http://www.scopus.com/inward/record.url?scp=85121877139&partnerID=8YFLogxK

UR - https://www.elibrary.ru/item.asp?id=47493276

UR - https://www.mendeley.com/catalogue/9d788a45-1c7b-322a-b4e3-367c2d8e2432/

U2 - 10.17516/1997-1397-2021-14-6-679-689

DO - 10.17516/1997-1397-2021-14-6-679-689

M3 - Article

AN - SCOPUS:85121877139

VL - 14

SP - 679

EP - 689

JO - Journal of Siberian Federal University - Mathematics and Physics

JF - Journal of Siberian Federal University - Mathematics and Physics

SN - 1997-1397

IS - 6

M1 - 2

ER -