Scale effects in the post-cracking behaviour of fibre-reinforced concrete beams

Carpinteri, Alberto; Accornero, Federico; Rubino, Alessio

doi:10.1007/s10704-022-00671-x

Cited by 8 publications

(3 citation statements)

References 40 publications

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“…It is evident how N P governs the ductile‐to‐brittle transition in the whole postcracking regime of the beam, thus providing a significant contribution in terms of global toughening and structural ductility/stability. In strong analogy to the case of FRC, which has been discussed by the authors in previous papers, 40–43 the numerical curves suggest to identify three stages being characterized by the flexural response of the HRC beam. In Stage I, the specimen exhibits a linear elastic behavior, until the first cracking moment (red square marker) is reached.…”

Section: Parametric Analysis and Minimum Reinforcement Conditionsmentioning

confidence: 58%

“…As a consequence, the features of the flexural response (cracking and ultimate loads, minimum reinforcement condition) are not affected by the choice of a 0 /h, as recently discussed by the authors in a recent research work. 43 In the case under investigation, a fictitious notch equal to the concrete cover is assumed (a 0 /h = c 0 /h = 0.15), leading to K IC equal to 64 MPa mm 1/2 .…”

Section: Identification Of the Constitutive Parametersmentioning

confidence: 99%

“…The model, which was originally proposed for the case of steel-bar RC elements, [29][30][31] has been recently extended by the authors to the case of FRC [40][41][42][43] and HRC. 44,45 2 | THE UPDATED BRIDGED CRACK MODEL…”

Section: Introductionmentioning

confidence: 99%

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Flexural behavior and minimum reinforcement condition in hybrid‐reinforced concrete beams

Rubino

Accornero

Carpinteri

2023

Structural Concrete

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Hybrid reinforced concrete (HRC) can be defined as a cementitious material in which the reinforcing secondary phase consists of a combination of continuous steel rebars and of short discontinuous fibers, randomly distributed within the concrete matrix. For these structural elements, experimental flexural tests highlight how the postcracking response of the composite is strongly affected by the amount of steel bars together with reinforcing fibers. In the present work, it is shown that the action of these two contributions can be clearly interpreted in the framework of Fracture Mechanics through the Updated Bridged Crack Model (UBCM). The model assumes nonlinear constitutive laws to describe the toughening action of the reinforcing secondary phases, which are related to the yielding of steel rebars and to the pull‐out of the short fibers. Under these assumptions, different postcracking regimes depending on three scale‐dependent dimensionless numbers can be predicted: the bar‐reinforcement brittleness number, NP, which is directly related to the steel bar area percentage, ρ; the fiber‐reinforcement brittleness number, NP,f, which is directly related to the fiber volume fraction, Vf; and the pull‐out brittleness number, Nw, which depends on the critical embedment length of the fiber‐reinforcement, wc. The couples of critical values of the two reinforcement brittleness numbers define the minimum reinforcement conditions of the HRC structural element—that is, the combination of ρmin and Vf,min required to guarantee a stable post‐cracking response—including its scale dependence. A parametrical analysis is presented together with the modeling of an experimental campaign reported in the literature in order to assess the effectiveness of the UBCM.

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Section: Parametric Analysis and Minimum Reinforcement Conditionsmentioning

confidence: 58%

Section: Identification Of the Constitutive Parametersmentioning

confidence: 99%

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Flexural behavior and minimum reinforcement condition in hybrid‐reinforced concrete beams

Rubino

Accornero

Carpinteri

2023

Structural Concrete

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A Fracture Mechanics Approach to the Design of Fibre-Reinforced and Hybrid-Reinforced Concrete Beams

Accornero

Rubino

Carpinteri

2023

Lecture Notes in Civil Engineering

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Smart construction of fibre-reinforced concrete structures: size-scale effects on minimum reinforcement and plastic rotation capacity

Accornero,

Rubino,

Marano

et al. 2024

Smart Constr. Sustain. Cities

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Advanced structural design approaches should consider the economic and technological benefits offered by the structural applications of fibre-reinforced concrete. In this framework, it is important to highlight how the ductility of fibre-reinforced concrete structures is strongly dependent on the fibre volume fraction together with the structural size. This crucial coupling induces two reverse ductile-to-brittle transitions in the mechanical response of fibre-reinforced and hybrid-reinforced concrete elements: by increasing the characteristic size of the structure, an increase in its load-bearing capacity can be observed together with a decrease in its plastic rotation capacity. These size-scale effects can be taken into account by an effective fracture mechanics approach represented by the Updated Bridged Crack Model (UBCM), which can provide significant improvements in current Standards and regulations on fibre-reinforced concrete structures.

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Scale effects in the post-cracking behaviour of fibre-reinforced concrete beams

Cited by 8 publications

References 40 publications

Flexural behavior and minimum reinforcement condition in hybrid‐reinforced concrete beams

Flexural behavior and minimum reinforcement condition in hybrid‐reinforced concrete beams

A Fracture Mechanics Approach to the Design of Fibre-Reinforced and Hybrid-Reinforced Concrete Beams

Smart construction of fibre-reinforced concrete structures: size-scale effects on minimum reinforcement and plastic rotation capacity

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