Abstract

In an effort to mitigate crack growth, nine high-strength steel fiber–reinforced concrete (HSSFRC) mixtures were designed in this study, and specimens with various sizes were cast and cured. First, a total of 135 cylinder specimens were tested under the load- and displacement-control apparatus. The crack patterns and size-effect models (size-effect law [SEL], modified SEL [MSEL], multi-fractal scaling law [MFSL], and Sim et al.) were then investigated. The results confirm that with the addition of steel fiber, the rate of crack propagation dramatically decreases, indicating that specimens absorb more energy to break. Accordingly, the effect of size in cylindrical specimens is significantly improved, characterizing a size-independent state. Furthermore, the efficiency of SEL, MSEL, and MFSL models is considerably enhanced when steel fibers are added to the mixtures. For nonfibrous high-strength concrete specimens with brittle nature, SEL and the Sim et al. models are found to be of higher efficacy. Besides, the SEL outperforms the others since it is not only compatible with HSSFRC but also reflects all the characteristics of the specimens in various sizes. Moreover, the results demonstrate that the effect of steel fiber on reducing the size effect compared to other fiber types obtained from various researches is quite noticeable. It is also important to note that there is very little difference between the results of 10 % and 20 % fiber reinforcement; therefore, using 10 % steel fiber reinforcement in concrete is recommended.

References

1.
Tasdemir
C.
,
Tasdemir
M. A.
,
Lydon
F. D.
, and
Barr
B. I. G.
, “
Effects of Silica Fume and Aggregate Size on the Brittleness of Concrete
,”
Cement and Concrete Research
26
, no. 
1
(January
1996
):
63
68
, https://doi.org/10.1016/0008-8846(95)00180-8
2.
Palmquist
S. M.
and
Jansen
D. C.
, “
Postpeak Strain-Stress Relationship for Concrete in Compression
,”
ACI Materials Journal
98
, no. 
3
(January
2001
):
213
219
, https://doi.org/10.14359/10275
3.
Balaguru
P.
,
Narahari
R.
, and
Patel
M.
, “
Flexural Toughness of Steel Fiber Reinforced Concrete
,”
ACI Materials Journal
89
, no. 
6
(November
1992
):
541
546
, https://doi.org/10.14359/4019
4.
Köksal
F.
, “
Mechanical Behavior and Optimization of Steel Fiber Reinforced Concretes
” (PhD thesis,
Institute of Science and Technology of ITU
,
2003
).
5.
Tasdemir
M. A.
and
Bayramov
F.
, “
Mechanical Behavior of Cement Based Composite Materials
,”
ITU Journal/d Engineering
1
, no. 
2
(
2002
):
125
144
.
6.
Balendran
R. V.
,
Zhou
F. P.
,
Nadeem
A.
, and
Leung
A. Y. T.
, “
Influence of Steel Fibres on Strength and Ductility of Normal and Lightweight High Strength Concrete
,”
Building and Environment
37
, no. 
12
(December
2002
):
1361
1367
, https://doi.org/10.1016/S0360-1323(01)00109-3
7.
Gao
J.
,
Sun
W.
, and
Morino
K.
, “
Mechanical Properties of Steel Fiber-Reinforced, High-Strength, Lightweight Concrete
,”
Cement and Concrete Composites
19
, no. 
4
(
1997
):
307
313
, https://doi.org/10.1016/S0958-9465(97)00023-1
8.
Düzgün
O. A.
,
Gül
R.
, and
Aydin
A. C.
, “
Effect of Steel Fibers on the Mechanical Properties of Natural Lightweight Aggregate Concrete
,”
Materials Letters
59
, no. 
27
(November
2005
):
3357
3363
, https://doi.org/10.1016/j.matlet.2005.05.071
9.
Köksal
F.
,
Altun
F.
,
Yiğit
I.
, and Y. Şahin, “
Combined Effect of Silica Fume and Steel Fiber on the Mechanical Properties of High Strength Concretes
,”
Construction and Building Materials
22
, no. 
8
(August
2008
):
1874
1880
, https://doi.org/10.1016/j.conbuildmat.2007.04.017
10.
Şahin
Y.
and
Köksal
F.
, “
The Influences of Matrix and Steel Fiber Tensile Strengths on the Fracture Energy of High-Strength Concrete
,”
Construction and Building Materials
25
, no. 
4
(April
2011
):
1801
1806
, https://doi.org/10.1016/j.conbuildmat.2010.11.084
11.
Song
P. S.
and
Hwang
S.
, “
Mechanical Properties of High-Strength Steel Fiber-Reinforced Concrete
,”
Construction and Building Materials
18
, no. 
9
(November
2004
):
669
673
, https://doi.org/10.1016/j.conbuildmat.2004.04.027
12.
Gonnerman
H. F.
, “
Effect of Size and Shape of Test Specimen on Compressive Strength of Concrete
,” in
Proceedings of ASTM
, Vol. 25 (
West Conshohocken, PA
:
ASTM International
,
1925
),
237
250
.
13.
Blanks
R. F.
and
McNamara
C. C.
, “
Mass Concrete Tests in Large Cylinders
,”
ACI Journal Proceedings
31
, no. 
1
(January
1935
):
280
303
, https://doi.org/10.14359/8345
14.
Neville
A. M.
, “
A General Relation for Strengths of Concrete Specimens of Different Shapes and Sizes
,”
ACI Journal Proceedings
63
, no. 
10
(October
1966
):
1095
1110
, https://doi.org/10.14359/7664
15.
Bažant
Z. P.
, “
Size Effect in Blunt Fracture: Concrete, Rock, Metal
,”
Journal of Engineering Mechanics
110
, no. 
4
(April
1984
):
518
535
, https://doi.org/10.1061/(ASCE)0733-9399(1984)110:4(518)
16.
Kim
J.-K.
,
Eo
S.-H.
, and
Park
H.-K.
, “
Size Effect in Concrete Structures without Initial Crack
,” in
SP-118: Fracture Mechanics: Application to Concrete
(
Farmington Hills, MI
:
American Concrete Institute
,
1990
),
179
196
.
17.
Kim
J.-K.
and
Eo
S.-H.
, “
Size Effect in Concrete Specimens with Dissimilar Initial Cracks
,”
Magazine of Concrete Research
42
, no. 
153
(May
1990
):
233
238
, https://doi.org/10.1680/macr.1990.42.153.233
18.
Carpinteri
A.
and
Chiaia
B.
, “
Multifractal Scaling Laws in the Breaking Behavior of Disordered Materials
,”
Chaos, Solitons & Fractals
8
, no. 
2
(February
1997
):
135
150
, https://doi.org/10.1016/S0960-0779(96)00088-4
19.
Kim
J.-K.
and
Yi
S.-T.
, “
Application of Size Effect to Compressive Strength of Concrete Members
,”
Sadhana
27
, no. 
4
(August
2002
): 467, https://doi.org/10.1007/BF02706995
20.
del Viso
J. R.
,
Carmona
J. R.
, and
Ruiz
G.
, “
Shape and Size Effects on the Compressive Strength of High-Strength Concrete
,”
Cement and Concrete Research
38
, no. 
3
(March
2008
):
386
395
, https://doi.org/10.1016/j.cemconres.2007.09.020
21.
Wang
S.
,
Zhang
M.-H.
, and
Quek
S. T.
, “
Effect of Specimen Size on Static Strength and Dynamic Increase Factor of High-Strength Concrete from SHPB Test
,”
Journal of Testing and Evaluation
39
, no. 
5
(September
2011
):
898
907
, https://doi.org/10.1520/JTE103370
22.
Sim
J.-I.
,
Yang
K.-H.
,
Kim
H.-Y.
, and
Choi
B.-J.
, “
Size and Shape Effects on Compressive Strength of Lightweight Concrete
,”
Construction and Building Materials
38
(January
2013
):
854
864
, https://doi.org/10.1016/j.conbuildmat.2012.09.073
23.
Dehestani
M.
,
Nikbin
I. M.
, and
Asadollahi
S.
, “
Effects of Specimen Shape and Size on the Compressive Strength of Self-Consolidating Concrete (SCC)
,”
Construction and Building Materials
66
(September
2014
):
685
691
, https://doi.org/10.1016/j.conbuildmat.2014.06.008
24.
Nikbin
I. M.
,
Dehestani
M.
,
Beygi
M. H. A.
, and
Rezvani
M.
, “
Effects of Cube Size and Placement Direction on Compressive Strength of Self-Consolidating Concrete
,”
Construction and Building Materials
59
(May
2014
):
144
150
, https://doi.org/10.1016/j.conbuildmat.2014.02.008
25.
Asadollahi
S.
,
Saeedian
A.
,
Dehestani
M.
, and
Zahedi
F.
, “
Improved Compressive Fracture Models for Self-Consolidating Concrete (SCC)
,”
Construction and Building Materials
123
(October
2016
):
473
480
, https://doi.org/10.1016/j.conbuildmat.2016.07.030
26.
Saeedian
A.
,
Dehestani
M.
,
Asadollahi
S.
, and
Amiri
J. V.
, “
Effect of Specimen Size on the Compressive Behavior of Self-Consolidating Concrete Containing Polypropylene Fibers
,”
Journal of Materials in Civil Engineering
29
, no. 
11
(November
2017
): 04017208, https://doi.org/10.1061/(ASCE)MT.1943-5533.0002067
27.
Akbari
M.
,
Khalilpour
S.
, and
Dehestani
M.
, “
Analysis of Material Size and Shape Effects for Steel Fiber Reinforcement Self-Consolidating Concrete
,”
Engineering Fracture Mechanics
206
(February
2019
):
46
63
, https://doi.org/10.1016/j.engfracmech.2018.11.051
28.
Che
Y.
,
Ban
S. L.
,
Cui
J. Y.
,
Chen
G.
, and
Song
Y. P.
, “
Effect of Specimen Shape and Size on Compressive Strength of Concrete
,”
Advanced Materials Research
163–167
(December
2010
):
1375
1379
, https://doi.org/10.4028/www.scientific.net/AMR.163-167.1375
29.
Chung
K. L.
,
Ghannam
M.
, and
Zhang
C.
, “
Effect of Specimen Shapes on Compressive Strength of Engineered Cementitious Composites (ECCs) with Different Values of Water-to-Binder Ratio and PVA Fiber
,”
Arabian Journal for Science and Engineering
43
, no. 
4
(April
2018
):
1825
1837
, https://doi.org/10.1007/s13369-017-2776-8
30.
Muciaccia
G.
,
Rosati
G.
, and
Luzio
G. D.
, “
Compressive Failure and Size Effect in Plain Concrete Cylindrical Specimens
,”
Construction and Building Materials
137
(April
2017
):
185
194
, https://doi.org/10.1016/j.conbuildmat.2017.01.057
31.
Nalon
G. H.
,
Martins
R. O. G.
,
Alvarenga
R. C. S. S.
,
de Lima
G. E. S.
,
Pedroti
L. G.
, and
dos Santos
W. J.
, “
Effect of Specimens’ Shape and Size on the Determination of Compressive Strength and Deformability of Cement-Lime Mortars
,”
Materials Research
20
, no. 
S2
(January
2017
):
819
825
, https://doi.org/10.1590/1980-5373-mr-2016-1006
32.
Parsekian
G. A.
,
Fonseca
F. S.
,
Pinheiro
G. L.
, and
Camacho
J. S.
, “
Properties of Mortar Using Cubes, Prism Halves, and Cylinder Specimens
,”
ACI Materials Journal
111
, no. 
4
(July
2014
):
443
454
, https://doi.org/10.14359/51686726
33.
Hamad
A. J.
, “
Size and Shape Effect of Specimen on the Compressive Strength of HPLWFC Reinforced with Glass Fibres
,”
Journal of King Saud University - Engineering Sciences
29
, no. 
4
(October
2017
):
373
380
, https://doi.org/10.1016/j.jksues.2015.09.003
34.
Li
M.
,
Hao
H.
,
Shi
Y.
, and
Hao
Y.
, “
Specimen Shape and Size Effects on the Concrete Compressive Strength under Static and Dynamic Tests
,”
Construction and Building Materials
161
(February
2018
):
84
93
, https://doi.org/10.1016/j.conbuildmat.2017.11.069
35.
Herbrand
M.
,
Stark
A.
, and
Hegger
J.
, “
Size Effect in Unnotched Concrete Specimens in Bending: An Analytical Approach
,”
Structural Concrete
20
, no. 
2
(April
2019
):
660
669
, https://doi.org/10.1002/suco.201800136
36.
Fládr
J.
and
Bílý
P.
, “
Specimen Size Effect on Compressive and Flexural Strength of High-Strength Fibre-Reinforced Concrete Containing Coarse Aggregate
,”
Composites Part B: Engineering
138
(April
2018
):
77
86
, https://doi.org/10.1016/j.compositesb.2017.11.032
37.
Abd
M. K.
and
Habeeb
Z. D.
, “
Effect of Specimen Size and Shape on Compressive Strength of Self-Compacting Concrete
,”
Diyala Journal of Engineering Sciences
7
, no. 
2
(June
2014
):
16
29
.
38.
Majeed
S. A.
, “
Effect of Specimen Size on Compressive, Modulus of Rupture and Splitting Strength of Cement Mortar
,”
Journal of Applied Sciences
11
, no. 
3
(
2011
):
584
588
, https://doi.org/10.3923/jas.2011.584.588
39.
Gul
M.
, “
Effect of Cube Size on the Compressive Strength of Concrete
,”
International Journal of Engineering Development and Research
4
, no. 
4
(
2016
):
956
959
.
40.
Sudin
M. A. S.
and
Ramli
M.
, “
Effect of Specimen Shape and Size on the Compressive Strength of Foamed Concrete
,”
MATEC Web of Conferences
10
(March
2014
): 02003, https://doi.org/10.1051/matecconf/20141002003
41.
Qasim
O. A.
, “
A Review Paper on Specimens Size and Shape Effects on the Concrete Properties
,”
International Journal of Recent Advances in Science and Technology
5
, no. 
3
(
2018
):
13
25
, https://doi.org/10.30750/ijarst.533
42.
Khalilpour
S.
and
Dehestani
M.
, “
Enhanced Specimen Size and Shape Effect Models for High-Strength Fibre-Reinforced Concrete
,”
Proceedings of the Institution of Civil Engineers - Structures and Buildings
. Published ahead of print, August 9,
2019
, https://doi.org/10.1680/jstbu.19.00086
43.
Khalilpour
S.
,
BaniAsad
E.
, and
Dehestani
M.
, “
A Review on Concrete Fracture Energy and Effective Parameters
,”
Cement and Concrete Research
120
(June
2019
):
294
321
, https://doi.org/10.1016/j.cemconres.2019.03.013
44.
Segura
J.
,
Pelà
L.
,
Roca
P.
, and
Cabané
A.
, “
Experimental Analysis of the Size Effect on the Compressive Behaviour of Cylindrical Samples Core-Drilled from Existing Brick Masonry
,”
Construction and Building Materials
228
(December
2019
): 116759, https://doi.org/10.1016/j.conbuildmat.2019.116759
45.
Jin
L.
,
Yu
W.
,
Du
X.
,
Zhang
S.
, and
Li
D.
, “
Meso-scale Modelling of the Size Effect on Dynamic Compressive Failure of Concrete under Different Strain Rates
,”
International Journal of Impact Engineering
125
(March
2019
):
1
12
, https://doi.org/10.1016/j.ijimpeng.2018.10.011
46.
Standard Specification for Concrete Aggregates
(Superseded), ASTM C33-03 (
West Conshohocken, PA
:
ASTM International
, approved June 10,
2003
), https://doi.org/10.1520/C0033-03
47.
Standard Test Method for Sieve Analysis of Fine and Coarse Aggregates
(Superseded), ASTM C136-06 (
West Conshohocken, PA
:
ASTM International
, approved February 15,
2006
), https://doi.org/10.1520/C0136-06
48.
Standard Test Method for Sand Equivalent Value of Soils and Fine Aggregate
(Superseded), ASTM D2419-02 (
West Conshohocken, PA
:
ASTM International
, approved July 10,
2002
), https://doi.org/10.1520/D2419-02
49.
Standard Test Method for Density, Relative Density (Specific Gravity), and Absorption of Coarse Aggregate
(Superseded), ASTM C127-07 (
West Conshohocken, PA
:
ASTM International
, approved August 1,
2007
), https://doi.org/10.1520/C0127-07
50.
Standard Specification for Portland Cement
, ASTM C150/C150M-20 (
West Conshohocken, PA
:
ASTM International
, approved April 1,
2020
), https://doi.org/10.1520/C0150_C0150M-20
51.
Standard Practice for Making and Curing Concrete Test Specimens in the Laboratory
(Superseded), ASTM C192/C192M-07 (
West Conshohocken, PA
:
ASTM International
, approved August 1,
2007
), https://doi.org/10.1520/C0192_C0192M-07
52.
Practice for Use of Unbonded Caps in Determination of Compressive Strength of Hardened Concrete Cylinders
(Superseded), ASTM C1231/C1231M-12 (
West Conshohocken, PA
:
ASTM International
, approved November 15,
2012
), https://doi.org/10.1520/C1231_C1231M-12
53.
Standard Test Method for Compressive Strength of Cylindrical Concrete Specimens
(Superseded), ASTM C39/C39M-15 (
West Conshohocken, PA
:
ASTM International
, approved March 15,
2015
), https://doi.org/10.1520/C0039_C0039M-15
54.
Shannag
M. J.
, “
High Strength Concrete Containing Natural Pozzolan and Silica Fume
,”
Cement and Concrete Composites
22
, no. 
6
(December
2000
):
399
406
, https://doi.org/10.1016/S0958-9465(00)00037-8
55.
Beygi
M. H. A.
,
Kazemi
M. T.
,
Nikbin
I. M.
, and
Amiri
J. V.
, “
The Effect of Water to Cement Ratio on Fracture Parameters and Brittleness of Self-Compacting Concrete
,”
Materials & Design
50
(September
2013
):
267
276
, https://doi.org/10.1016/j.matdes.2013.02.018
56.
Bazant
Z. P.
and
Planas
J.
,
Fracture and Size Effect in Concrete and Other Quasibrittle Materials
(
Boca Raton, FL
:
CRC Press
,
1997
), https://doi.org/10.1201/9780203756799
57.
Bažant
Z. P.
and
Xiang
Y.
, “
Size Effect in Compression Fracture: Splitting Crack Band Propagation
,”
Journal of Engineering Mechanics
123
, no. 
2
(February
1997
):
162
172
, https://doi.org/10.1061/(ASCE)0733-9399(1997)123:2(162)
This content is only available via PDF.
You do not currently have access to this content.