Title: Elasto-plastic progressive collapse analysis based on the integration of the equations of motion // Magazine of Civil Engineering. – 2021. – № 2 (102). — С. 10214
Creators: Fialko S. Yu.; Kabantsev O. V.; Perelmuter A. V.
Imprint: 2021
Collection: Общая коллекция
Subjects: Строительство; Строительная механика; elastic-plastic fracture; equations of motion; reinforced concrete structures; finite element method; nonlinear dynamics; numerical analysis; progressive destruction; упруго-пластическое разрушение; уравнения движения; железобетонные конструкции; метод конечных элементов; нелинейная динамика; численный анализ; прогрессирующее разрушение
UDC: 624.04+624.07
LBC: 38.112
Document type: Article, report
File type: PDF
Language: English
DOI: 10.34910/MCE.102.14
Rights: Свободный доступ из сети Интернет (чтение, печать, копирование)
Record key: RU\SPSTU\edoc\67121

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Network: Internet


This paper considers the progressive collapse analysis of reinforced concrete structures based on the sudden removal of a load-bearing structural element and simulation of the dynamic structural behavior, taking into account the elasto-plastic properties of the material and the degradation of concrete during cracking. A specially developed finite element library is used, which includes triangular and quadrilateral shell finite elements of medium thickness, and a two-node finite element of a spatial frame, which take into account the discrete arrangement of reinforcement and various elasto-plastic material models for concrete and reinforcement. The novelty of the proposed approach lies in the formulation of both: the spatial frame and shell finite elements as a three-dimensional solid body with sequential application of the conventional hypothesis of the for Mindlin-Reissner shells of medium thickness, Timoshenko beams, and the elasto-plastic constitutive models. This makes it possible to achieve sufficiently high reliability of the results for engineering analysis, and on the other hand, a relatively simple implementation, which makes it possible to perform an elasto-plastic dynamic analysis of the entire design model of the structure, and not a separate fragment, in real time from the point of view of practical design. This approach is free from assumptions related to the introduction of a dynamic amplification factor into the quasi-static analysis, which is widely used to solve such problems. The paper provides a numerical example illustrating the effectiveness of using a special structure - an outrigger storey, to prevent progressive collapse, and a comparison of the nonlinear dynamic analysis and the linear one.

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Table of Contents

  • Elasto-plastic progressive collapse analysis based on the integration of the equations of motion
    • 1. Introduction
    • 2. Methods
      • 2.1. Finite Element Library
      • 2.2. Integration of the Nonlinear Equations of Motion
    • 3. Numerical Results and Discussion
    • 4. Conclusions

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