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.

Translated title of the contributionМоделирование деформирования и разрушения железобетонных балок при четырехточечном изгибе
Original languageEnglish
Article number2
Pages (from-to)679-689
Number of pages11
JournalJournal of Siberian Federal University - Mathematics and Physics
Volume14
Issue number6
DOIs
Publication statusPublished - 2021

Keywords

  • Crack
  • Damage evolution
  • Four-point bending
  • Modelling and simulation
  • Multi-modulus behavior
  • Nonlinear stress-strain relationships
  • Reinforced concrete

OECD FOS+WOS

  • 1.01 MATHEMATICS
  • 1.03 PHYSICAL SCIENCES AND ASTRONOMY

State classification of scientific and technological information

  • 00 SOCIAL SCIENCES IN GENERAL

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