Abstract

O objetivo principal do trabalho é apresentar uma comparação entre distintas estratégias de simulação computacional de estruturas de concreto armado utilizando modelos de fissuração distribuída. Em uma primeira abordagem, foi adotado o modelo multidirecional de fissuração distribuída do programa DIANA empregando-se diferentes regras de amolecimento para o material fissurado (frágil, linear e não-lineares de Moelands-Reinhardt e de Hordijk). Posteriormente, foi utilizada a formulação DSFM - Disturbed Stress Field Model, modelando o concreto fissurado como um material ortotrópico com fissuras distribuídas do tipo rotacionais. Os programas DIANA e VecTor2 foram utilizados como ferramentas para avaliar a eficácia dos diferentes modelos no estudo de vigas de concreto armado submetidas a esforços de flexão.

Highlights

  • The reinforced concrete became one of the most important structural materials in the last century, being widely used in different areas of civil engineering

  • The main goal of the present work is to present a comparison between two different strategies for the computational simulation of reinforced concrete structures, both using smeared crack models to represent the behavior of the materials

  • The finite element codes DIANA and VecTor2 have been used to evaluate the performance of the different smeared crack models to predict the behavior of reinforced concrete beams subjected primarily to flexure

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Summary

Introduction

The reinforced concrete became one of the most important structural materials in the last century, being widely used in different areas of civil engineering. In the numerical simulation of reinforced concrete structures by Finite Element Method, three different tendencies have been developed to represent the cracks: discrete, smeared and incorporated. The cracks are modeled as displacement discontinuities among the finite elements and they must develop across their outlines, what ends up generating a restriction in its propagation direction. The application of these models is limited to the study of the problems involving the progression of few cracks, what hinders its use in most of the reinforced concrete structures. In the smeared crack models, the cracked material is treated as continuous, and the discontinuity of the displacement field caused by the crack is spread across the element by changing the constitutive equation. The models are based on the concept of discontinuities incorporated in standard finite elements

Smeared crack models
Smeared crack models in DIANA
Multidirectional smeared crack models
Smeared crack models in VecTor2
Compatibility relationships in the MCFT
Constitutive relationships in the MCFT
Local crack conditions in the MCFT
Equilibrium relationships in the DSFM
Constitutive relationships in the DSFM
Composite material stiffness matrix
Numerical examples
Conclusions
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