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Size Effect of Synthetic Fibre Reinforced Concrete – Investigation using a Semi-Discrete Analytical Beam Model Cover

Size Effect of Synthetic Fibre Reinforced Concrete – Investigation using a Semi-Discrete Analytical Beam Model

Open Access
|Oct 2023

Figures & Tables

Figure 1.

Size effect on the strength of concrete (adapted from Bazant and Planas [1])

Figure 2.

Specimen dimensions and experimental layout

Figure 3.

Measurement of the crack opening

Figure 4.

Comparison of manual and machine CMOD measurement in the case of FRC_M_03

Figure 5.

Cracked cross-sections divided into five zones

Figure 6.

Appearance of pulled-out and broken fibres

Figure 7.

Experimental F-CMOD results of PC (left) and FRC (right) beams

Figure 8.

Experimental and theoretical τ-s and F-u curves of the pulled-out fibres (Reprinted from Tóth and Pluzsik [19])

Figure 9.

Softening curve of plain concrete (Reprinted from Tóth and Pluzsik [23])

Figure 10.

Stress distribution and distances along the cross-section (Reprinted from Tóth and Pluzsik [19])

Figure 11.

Size effect of Bazant compared to experimental results of PC

Figure 12.

Experimental and theoretical F-CMOD curves of PC_M (q = 15 N/mm3)

Figure 13.

Size effect of Bazant compared to experimental results of FRC

Figure 14.

Experimental and theoretical F-CMOD curves of FRC_S_04 (left: q = 15 N/mm3, τmax = 3.4 N/mm2) and FRC_M_05 (right: q = 15 N/mm3, τmax = 4 N/mm2)

Figure 15.

Residual nominal strength (σRN) depending on the beam depth (D)

Proportions of concrete matrix

ComponentDosage [kg/m3]
Cement350
Water192
Aggregate 0/4631
Aggregate 4/8685
Aggregate 8/16487
Superplasticizer2

Nominal stresses and τmax values of FRC specimens

Specimen IDNominal stress (σN) [N/mm2]Average of σN2 [N/mm2]τmax [N/mm2]Average of τmax [N/mm2]Deviation of τmax [%]Pulled-out fibres [pcs]Broken fibres [pcs]Rate of pulled-out fibres [%]
FRC_S_013.293.473.43.168%47787%
FRC_S_023.472.4−24%511084%
FRC_S_033.343.0−5%521084%
FRC_S_044.253.48%302258%
FRC_S_0533.614%391375%
FRC_M_013.433.103.63.64−1%822676%
FRC_M_022.673.6−1%872677%
FRC_M_032.943.4−7%703567%
FRC_M_043.183.6−1%834266%
FRC_M_053.34.010%1083277%
FRC_L_012.582.712.63.52−26%1791592%
FRC_L_022.833.6−2%1792090%
FRC_L_032.884.425%1193577%
FRC_L_042.473.88%1603682%
FRC_L_052.793.2−9%1592487%

Comparison of the performed experiment and the recommendation of RILEM [20]

ProportionsRILEM recommendationPerformed experiment
l/D ratio>2.53.33
a0/D ratio0.15<a0/D<0.50.083
notch width<0.5da (8 mm)0.125 da (2 mm)
b>3da (48 mm)9.4 da (150 mm)
Dmin<5da (80 mm)4.7da (75 mm)
Dmax>10da (160 mm)18.75da (300 mm)
Dmax/Dmin≥44

Dimensions of the test specimens

Specimen IDBeam depth (D) [mm]Span (l) [mm]Notch depth (a0) [mm]
FRC_S752506.25
FRC_M15050012.5
FRC_L300100025

Nominal stresses and q values of PC specimens

Specimen IDBeam depth (D) [mm]Nominal stress (σN) [N/mm2]Average of σN [N/mm2]Deviation of σN [%]Slope of the softening curve (q) [N/mm3]
PC_S_06752.732.9−5.915
PC_S_07753.075.9
PC_M_061502.842.811.215
PC_M_071502.77−1.2
PC_L_063002.502.48115
PC_L_073002.45−1
DOI: https://doi.org/10.2478/acee-2023-0039 | Journal eISSN: 2720-6947 | Journal ISSN: 1899-0142
Language: English
Page range: 117 - 129
Submitted on: May 12, 2022
|
Accepted on: Apr 17, 2023
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Published on: Oct 20, 2023
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2023 Mária Erdélyiné Tóth, Anikó Pluzsik, published by Silesian University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.