Research Article  Open Access
Piotr Smarzewski, "Flexural Toughness of HighPerformance Concrete with Basalt and Polypropylene Short Fibres", Advances in Civil Engineering, vol. 2018, Article ID 5024353, 8 pages, 2018. https://doi.org/10.1155/2018/5024353
Flexural Toughness of HighPerformance Concrete with Basalt and Polypropylene Short Fibres
Abstract
In this work, an investigation is made to evaluate the flexural toughness of hybrid fibrereinforced highperformance concrete (HPC) containing different combinations of basalt (B) and polypropylene (P) fibres. The experimental studies consisted of the threepoint flexural tests on notched beam specimens. The specimens incorporated basalt/polypropylene (BP) fibres in 11 mixtures with proportions of 0/0, 100/0, 75/25, 50/50, 25/75, and 0/100% by volume at total volume fractions of 1 and 2%. The evaluation of the experimental results was done according to the CECS 13:2009 and PCS (postcrack strength) methods. The results indicate that highperformance concrete containing basalt/polypropylene fibre mixtures of 50/50% and with only polypropylene fibre content of 0/100% can be pronounced as the most appropriate combinations to be used in highperformance concrete for flexural toughness.
1. Introduction
Highperformance concrete is a brittle material; hence, the addition of randomly distributed fibres improves its mechanical properties, especially tensile strength, flexural strength, flexural toughness, and ductility. The effectiveness of improving these parameters depends, among other things, on the type of fibre, size, aspect ratio, and volume fraction of fibres. In the last decades, there has been considerable interest not only in fibre hybridization, mostly in combinations of long and short steel fibres [1, 2] but also in concrete with hybrid synthetic fibres [3, 4], or mishmashes of various types of steel and synthetic fibres [5–9] in order to obtain the optimal performance of hybrid fibrereinforced concrete. Mechanical properties such as compressive strength, flexural strength, and flexural toughness of concrete reinforced with different types of hybrid fibres have been examined by various researchers [3, 4, 10–12], and the results clearly indicate that fibre hybridization is a promising idea. However, it is necessary to conduct further testing of hybrid fibre concrete, as there are many types of fibres available on the market produced from different materials having changed lengths and geometry.
The polypropylene fibres used in highperformance concrete can increase its tensile strength, toughness parameters, and fire and impact resistance and decrease longterm shrinkage [13–17]. On the other hand, the basalt fibres are not yet widely used in civil engineering, although they show a good compatibility with concrete. Li and Xu [18] indicated that the addition of basalt fibre can significantly improve the deformation and energy absorption capacity of geopolymeric concrete, but there is no significant improvement in dynamic compressive strength. Jiang et al. [19] showed that the basalt fibres significantly improve tensile strength, flexural strength, and toughness index of the concrete, but the compressive strength shows no obvious increase. They also found that the fibre length has a significant effect on the tested parameters. Kabay [20] revealed that basalt fibres can also be very useful in improving flexural strength, fracture energy, and abrasion resistance even at low contents. On the contrary, inclusion of basalt fibre in concrete resulted in a decrease in the compressive strength. Furthermore, basalt fibre is not an expensive material and can be an effective approach to increase toughness, plastic shrinkage, and shock resistance of highperformance concrete. The important reasons for the simultaneous application of basalt and polypropylene fibres in concrete can be replaced cracks control, improved flexural toughness resistance, and improved fire resistance.
The main advantage of fibre reinforcement in concrete is toughness improvement. The most frequently used procedures for evaluating toughness test results are specified in the Japanese standard [21] and the United States standard [22]. According to these standards, toughness tests are performed on concrete beams of size 150 × 150 × 600 mm or of size 100 × 100 × 400 mm. Flexural load is applied at onethird of the beam specimen span under constant rate of displacement.
In this study, the flexural toughness parameters are obtained for notched hybrid basaltpolypropylene highperformance concrete beams of size 80 × 150 × 700 mm using the procedures given in the Chinese standard [23] and the postcrack strength (PCS) method [24]. In hybrid composites, there is a synergic effect between the fibres and the resulting performance can exceed the sum of single fibre efficiencies [25]. Basalt fibre is stronger and ensures sensible firstcrack strength and ultimate strength. This fibre is also ecologically safe and cheaper to produce. On the other hand, polypropylene fibre is comparatively flexible and leads to improved strain capacity in the postcrack zone and toughness. The threepoint flexural toughness tests with notched beams are performed because they are not dependent on the firstcrack deflection value compared with the JCI SF4 and ASTM C 1609 methods and thus reduce the error induced by the difficulties in judging firstcrack deflection.
2. Materials and Methods
2.1. Materials and Concrete Mixtures
The straight basalt and polypropylene fibres are used in the tests, and the main characteristics of fibres are given in Table 1. In previous investigations, the concrete components used in this experimental test had been found appropriate for the production of fibrereinforced highperformance concrete [7, 8, 26]. The ordinary Portland cement CEM I 52.5R was used in all mixtures. The aggregates contained basalt rock ranging in size from 2 to 5 mm with a continual size distribution and quartz sand with a maximum particle size of 2 mm. The high efficient waterreducing agent based on polycarboxylate ether was also used. The mixture compositions with the experimental design of 11 groups of fibre combinations are shown in Table 2.


2.2. Specimens’ Specifications and Production Process
All tests were conducted on a set of 3 specimens for each mixture. The compressive and splitting tensile strength tests were performed on 66 cubes (100 × 100 × 100 mm). For flexural toughness tests, 33 notched beam specimens (80 mm × 150 mm × 700 mm) were used. A notch with a depth of 50 mm and a thickness of 3 mm was made at each beam midspan. For this purpose, a thin steel sheet with a sharpened tip was fixed at the middle of the beam before concreting. The concrete mixtures were prepared in a 100 L mixer in about 12 min. Firstly, the aggregates were mixed for 3 min before the addition of part of the water. Secondly, after 2 min, cement, silica fume, the rest of the water, and the superplasticizer were added. In order to make fibres evenly dispersed in the concrete, after 3 min, basalt and polypropylene fibres were applied manually. The mixing was finished after a homogeneous mixture was obtained. The molds with the fresh concrete mixture were vibrated at a rate of 150 Hz on a vibrating table. All specimens were cured 28 days in water in standard conditions.
2.3. Test Equipment and Solutions
Based on the RILEM recommendations [27, 28], the notched beam flexural toughness test was performed. Before the test, 2 steel sheets were glued on the edges of the beam notch. The tests were performed using the MTS 319.25 servohydraulic testing machine with a flexural capacity of 250 kN. The notched beams were loaded in a threepoint loading configuration with two rolling supports spaced at a distance of 600 mm and using the singlepoint loading at midspan. The crack mouth opening displacement (CMOD) was measured through a clipgagger fixed between 2 rigid steel sheets at the bottom of the beam. The test setup is shown in Figure 1(a). The toughness test used deflection as the control signal at a rate of 0.05 mm/min.
(a)
(b)
(c)
In accordance with the EN 123903 [29] and EN 123906 [30] standards, compressive (Figure 1(b)) and splitting tensile (Figure 1(c)) strengths were determined using an Advantest 9 servohydraulic press of 3 MN capacity.
3. Results and Discussion
3.1. Slump
High workability is necessary for highperformance concrete beamcolumn joints, while low workability is requested in pavements or large sections. In this study, a highly effective superplasticizer was used to get good slump test results. The components are mixed till full homogeneous mixture is formed, and then the fibres were fed gradually. Addition of fibres provided more friction force between the components of the mixtures. However, there was no aggregate segregation and no clustering of fibres but fully homogeneous mixtures were observed. The slump results are presented in Table 3. It can be seen that the slump dropped due to fibre addition. It can be concluded that the workability of highperformance concrete decreased with the increase of basalt and polypropylene fibres. The reason for this phenomenon is that the network structure can be formed in the concrete from the dispersed fibres and restrain the fresh mixture before segregation and flow. Due to the high content and large surface area of fibres, they may absorb more cement paste, and the increase of the mixture viscosity leads to decrease in the slump [31].

Furthermore, it can be noticed that the addition of 12 mm basalt fibre in concrete shows a lower slump than that of 12 mm polypropylene fibre with the same volume fraction. The reason may be that the distribution density of polypropylene fibres is larger and more fibres are present per unit volume. Therefore, the fibres are more difficult to distribute in concrete matrix due to the larger friction force, which may result in slump reduction.
3.2. Compressive Strength and Splitting Tensile Strength
Table 3 provides the results of hybrid fibre highperformance concrete compressive strength and splitting tensile strength. It can be found that the addition of 12 mm fibres affect the plain highperformance concrete compressive strength slightly. Compared with the plain concrete, it only decreased by 9% (P1) to 20% (B2). The highest decrease in the compressive strength of fibre concrete was observed with the addition of 2% basalt fibres. Banthia and Soleimani [1] reported a 13% reduction in the compressive strength of concrete containing only polypropylene fibres as compared to that of fibrefree concrete. Moreover, the results described by Kabay [20] and Jiang et al. [19] showed that the compressive strength of HPC decreased with an increase in the basalt fibre content. There were some reasons which might have led to these results. Firstly, the basalt fibres may create poor void regions in HPC and failure may occur due to them. In addition, the basalt fibres during mixing had absorbed too much of water and the cement may lack sufficient water for hydration.
In contrast, the fibres can improve splitting tensile strength significantly. Compared with the plain concrete, it increased by 2% to 79%. Splitting tensile strength of polypropylene fibre concrete at a fibre volume of 2% (P2) increased significantly. The influence of the volume fraction of basalt fibres and polypropylene fibres on the splitting tensile strength was analyzed in the same way by Jiang et al. [19]. With the increase in the fibre fraction, the splitting tensile strength of fibrereinforced concrete increased by about 14–26%. Yurtseven et al. [32] stated that the addition of polypropylene fibre at 0.5% volume fraction can improve splitting tensile strength of concrete by 19.5% at 28 days. It is mainly due to the bridging action of the fibres across cracks, which effectively restrains the propagation of microcracks in the early stages of curing. After the formation of the first crack, the stress is transferred to the bridging fibres and the development of cracks is delayed, thus improving the splitting tensile strength.
3.3. LoadDeflection Curves
The typical loaddeflection and loadCMOD curves from the toughness tests of basalt fibrereinforced concrete beams, basaltpolypropylene fibrereinforced concrete beams, and polypropylene fibrereinforced concrete beams, with 1% and 2% of fibre volume contents, are shown in Figure 2, and the relationship between the deflection and CMOD is displayed in Figure 3 and Table 4.
(a)
(b)

Figures 2 and 3 and Table 4 show that the first cracks are very close, and the concrete with basalt fibres is characterized by plastic damage. When the notched beam specimen cracks, it will collapse suddenly. It is noteworthy that the loadCMOD and loaddeflection curves of type B0.5P1.5 and B0.25P0.75 and type B1.5P0.5 and B0.5P0.5 are similar, respectively. At the beginning of stress, load and deflection show linear dependence. As the load increases, cracks form in the concrete. Due to the fibre bridging effect, the fibres will carry the load; so, the loaddeflection curve gradually bends to the right up to the peak point. After reaching the ultimate load, the crack width increases and propagates upwards and the flexural efficiency decreases. High modulus basalt fibres are pulled out from the concrete matrix. On the other hand, low elastic modulus polypropylene fibres are broken, and this process needs to absorb more energy. So, in the latter case, the rate of decline of the flexural capacity is delayed. The curve of P2 type falls slowly and covers an area meaningfully greater than the other types, due to a 2.8fold larger strain at failure of the polypropylene fibre compared to such strain of the basalt fibre. It also means that the polypropylene fibres with lower modulus of elasticity and lower aspect ratio can provide higher capacity of deformation and better flexural toughness than basalt fibres with higher elastic modulus and higher aspect ratio.
Figure 3 illustrates that there is a linear relationship between the deflection and CMOD in which the slope corresponds to the crack control ability of concrete. CMOD of type P2 < CMOD of types B1P1, B2, P1, B1, B0.5P1.5, B0.25P0.75 < CMOD of types BP (B0.75P0.25, B0.5P0.5, and B1.5P0.5) when the deflection is determined; so, crack control ability of concrete revealed an inverse correlation. Because the fibre contents and types are different, crack control abilities of the hybrid fibre concrete which is compared with single fibre concrete has different levels of increase, the anticrack performance enhance and perform good flexural toughness. Referring to the data shown in Figures 2 and 3, it is interesting to note that the applied combination of fibres is far more significant than the fibre volume. Furthermore, it can be observed that polypropylene fibres bridged cracks better than basalt fibres with a higher volume content in mixtures with hybrid fibres.
3.4. Energy Absorption and Flexural Toughness
According to the CECS 13:2009 [23], energy absorption value and equivalent flexural strength can be used to evaluate the fibre effect on concrete toughness improvement (Figure 4(a)). Energy absorption value of the concrete cracking, D_{cr}, corresponding to the deflection, δ_{L} + 0.3 mm, on the numerical value is equal to the area ABC. Fibre on concrete contributions of energy absorption values D_{1f} = D_{1} − D_{cr} and D_{2f} = D_{2} − D_{cr} when midspan deflections are δ_{1} = δ_{L} + 0.65 mm and δ_{2} = δ_{L} + 2.65 mm, respectively, on the numerical values are equal to the areas BDEC and BFGC. Equivalent flexural toughness is calculated by the following formula:where l is the distance between the supports, b and h are the width and height of the beam, and a_{0} is the height of the notch. The results are summarized in Table 5.
(a)
(b)

As can be seen from Table 5, energy absorption value of fibrereinforced concrete is the highest for concrete with polypropylene fibres and is not dependent on the fibres volume content. Slightly lower energy values were obtained for the concrete with the addition of equal proportions of polypropylene and basalt hybrid fibres to the volume. The flexural toughness indexes of hybrid fibrereinforced concrete are lower than those of polypropylene fibrereinforced concrete, but higher than those of concrete with basalt fibres. D_{cr}, D_{1f} and f_{eq1}, and D_{2f} and f_{eq2} of polypropylenereinforced fibres concrete were mostly increased by 1.36–1.67 times, 1.18–1.25 times, and 0.99–1.85 times than those of hybrid fibrereinforced concrete at 1% of fibre volume content and were increased by 1.07–1.88 times, 1.01–1.64 times, and 1.58–1.88 times at 2% vol. fibres. On the other hand, the above parameters of basalt fibrereinforced concrete were almost always decreased by 0–0.18 times, 0.04–0.09 times, and 0.15–0.54 times than those of hybrid fibrereinforced concrete at 1% fibre content and were decreased by 0.12–0.93 times, 0.36–0.99 times, and 0.12–0.42 times at 2% vol. fibres. This shows that the impact of polypropylene fibres on the flexural toughness is better than that of basalt fibres at the same fibres length, but almost two times lower with aspect ratio. Polypropylene fibre can effectively improve the flexural toughness of concrete. On the contrary, polypropylene and basalt fibres have a good synergic effect when the fibre content of at least half of the polypropylene fibres is present. It is interesting to note that the same flexural toughness values, f_{eq1}, given in Table 5 are higher than the equivalent flexural toughness, f_{eq2}. The dependence of f_{eq2} < f_{eq1} displays that loaddeflection curves gradually decrease with increasing beam deflection. In ASTM C 1609 [22], along with the increase in beam deflection, the toughness index I increases. Thus, compared with this evaluation method, the equivalent flexural strength method is more advantageous and more convenient, and by determining the peak load with a rate of 0.05 mm/min, deflections can be faultlessly determined at the firstcrack deflection. This method of assessing the flexural toughness of fibrereinforced concrete can also be used for different types and contents of fibre.
The loaddeflection curves of fibrereinforced concrete were also analyzed by the postcrack strength (PCS) method, described by various scientists [1, 24]. It is a method of converting the deflectionload curve into an equivalent curve of flexural strength and then locating the peak load and dividing the curve into two regions: prepeak load and postpeak load (Figure 4(b)). The points in the postpeak region are located according to the deflections coinciding with various span fractions. For a notched beam, the postcrack strength (PCS) at a deflection of l/m (for m = 600, 400, 300, and 200) is given by the following expression:
Toughness indexes calculated according to the PCS method are listed in Table 6.

Table 6 shows that concrete containing 100% polypropylene fibres showed the highest PCS values. These values were also high at 25% replacement of polypropylene fibres by basalt fibres. The flexural toughness of basaltpolypropylene fibrereinforced concrete is little lower than the toughness of polypropylene fibrereinforced concrete and gradually decreases with higher volume contents of basalt fibres. As shown in Table 6, it can be concluded that when the beam deflection reaches l/600, l/400, l/300, and l/200, the toughness index ratio of the basaltpolypropylene fibrereinforced concrete B0.25P0.75 and B0.5P1.5 and the polypropylene fibrereinforced concrete P1 and P2 is 0.95, 0.84, 0.85, and 0.92 at 1% fibre volume content, respectively, and 0.75, 0.62, 0.55, and 0.57 at 2% fibre volume content, respectively. In addition, the PCS method is not dependent on the firstcrack deflection value compared with, e.g., ASTMC1018 [33], which reduces the possibility of making the error caused by the difficulty in evaluating firstcrack deflection. The toughness analysis is carried out using the variable l/m for the toughness index after the peak load, which makes the toughness measurement more precise.
4. Conclusions
Compressive strength, splitting tensile strength, and flexural toughness of hybrid fibrereinforced concrete containing different combinations of basalt and polypropylene fibres have been investigated. Flexural toughness indexes were obtained from the loaddeflection curves, in accordance with the procedure set out in CECS 13:2009 [23] and with the PCS technique [24]. The conclusions based on the results and discussion presented in this study are as follows:(1)Compressive strength of all fibrereinforced highperformance concrete mixtures decreased by 9% (P1) to 20% (B2) compared with the plain highperformance concrete. In contrast, splitting tensile strength increased significantly in all fibre mixtures, up to 79% for polypropylene fibrereinforced concrete at the content of 2%.(2)The results obtained in static flexural toughness tests show that in terms of flexural toughness, concrete with 100% of polypropylene fibres provides the best performance. Concrete with a fibre combination of 50% basalt fibres + 50% polypropylene fibres offers slightly lower parameters and display positive hybrid effect. Increasing the highdensity basalt fibre portion in the hybrid fibre system in combination with lowdensity polypropylene fibres may lead to reduced flexural toughness of hybrid fibrereinforced HPC mixtures.(3)The test method of the notched beams loaded at midspan can simplify the testing device. The energy absorption values D_{cr} and the equivalent flexural tensile strength f_{eq1} and f_{eq2} are indexes that evaluate the flexural toughness of hybrid fibre concrete. This assessment method is very comprehensive and practicality. Also, the PCS method reduces the possibility of making an error, because it is not dependent on the firstcrack deflection, and the analysis allows to accurately determine the flexural toughness.
Data Availability
The data underlying this article are not available to protect their commercial confidentiality.
Conflicts of Interest
The author declares no conflicts of interest.
Acknowledgments
The author gratefully acknowledges the funding by the Ministry of Science and Higher Education, Poland, under the statutory research number S/15/B/1/2017.
References
 N. Banthia and S. M. Soleimani, “Flexural response of hybrid fiberreinforced cementitious composites,” ACI Materials Journal, vol. 102, no. 6, pp. 382–389, 2005. View at: Publisher Site  Google Scholar
 P. Stähli and J. G. M. van Mier, “Threefibretype hybrid fibre concrete,” in Proceedings of FRAMCOS5, V. C. Li, C. K. Y. Leung, K. J. Willam, S. L. Billington et al., Eds., pp. 1105–1112, Vail, CO, USA, April 2004. View at: Google Scholar
 M. Hsie, C. Tu, and P. S. Song, “Mechanical properties of polypropylene hybrid fibre reinforced concrete,” Materials Science and Engineering: A, vol. 494, no. 12, pp. 153–157, 2008. View at: Publisher Site  Google Scholar
 A. Sivakumar and M. Santhanam, “Mechanical properties of high strength concrete reinforced with metallic and nonmetallic fibres,” Cement and Concrete Composites, vol. 29, no. 8, pp. 603–608, 2007. View at: Publisher Site  Google Scholar
 V. Afroughsabet and T. Ozbakkaloglu, “Mechanical and durability properties of highstrength concrete containing steel and polypropylene fibers,” Construction and Building Materials, vol. 94, pp. 73–82, 2015. View at: Publisher Site  Google Scholar
 C. X. Qian and P. Stroeven, “Development of hybrid polypropylenesteel fibre reinforced concrete,” Cement and Concrete Research, vol. 30, no. 1, pp. 63–69, 2000. View at: Publisher Site  Google Scholar
 P. Smarzewski and D. BarnatHunek, “Effect of fiber hybridization on durability related properties of ultrahigh performance concrete,” International Journal of Concrete Structures and Materials, vol. 11, no. 2, pp. 315–325, 2017. View at: Publisher Site  Google Scholar
 P. Smarzewski and D. BarnatHunek, “Fracture properties of plain and steelpolypropylenefiberreinforced highperformance concrete,” Materiali in Tehnologije, vol. 49, no. 4, pp. 563–571, 2015. View at: Publisher Site  Google Scholar
 W. Yao, J. Li, and K. Wu, “Mechanical properties of hybrid fibrereinforced concrete at low fibre volume fraction,” Cement and Concrete Research, vol. 33, no. 1, pp. 27–30, 2003. View at: Publisher Site  Google Scholar
 H. S. S. Abou ElMal, A. S. Sherbini, and H. E. M. Sallam, “Mode II fracture toughness of hybrid FRCs,” International Journal of Concrete Structures and Materials, vol. 9, no. 4, pp. 475–486, 2015. View at: Publisher Site  Google Scholar
 A. Sivakumar and M. Santhanam, “Cracked permeability of hybridfibrereinforced concrete,” Proceedings of the Institution of Civil EngineersConstruction Materials, vol. 163, no. 1, pp. 45–50, 2010. View at: Publisher Site  Google Scholar
 P. Smarzewski and D. BarnatHunek, “Property assessment of hybrid fiberreinforced ultrahighperformance concrete,” International Journal of Civil Engineering, vol. 16, no. 6, pp. 593–606, 2018. View at: Publisher Site  Google Scholar
 A. M. Alhozaimy, P. Soroushian, and F. Mirza, “Mechanical properties of polypropylene fiber reinforced concrete and the effects of pozzolanic materials,” Cement and Concrete Composites, vol. 18, no. 2, pp. 85–92, 1996. View at: Publisher Site  Google Scholar
 T. Aly, J. G. Sanjayan, and F. Collins, “Effect of polypropylene fibers on shrinkage and cracking of concretes,” Materials and Structures, vol. 41, no. 10, pp. 1741–1753, 2008. View at: Publisher Site  Google Scholar
 N. Banthia and R. Gupta, “Influence of polypropylene fiber geometry on plastic shrinkage cracking in concrete,” Cement and Concrete Research, vol. 36, no. 7, pp. 1263–1267, 2006. View at: Publisher Site  Google Scholar
 A. Behnood and M. Ghandehari, “Comparison of compressive and splitting tensile strength of highstrength concrete with and without polypropylene fibers heated to high temperatures,” Fire Safety Journal, vol. 44, no. 8, pp. 1015–1022, 2009. View at: Publisher Site  Google Scholar
 Y.S. Heo, J. G. Sanjayan, C.G. Han, and M.C. Han, “Critical parameters of nylon and other fibres for spalling protection of high strength concrete in fire,” Materials and Structures, vol. 44, no. 3, pp. 599–610, 2011. View at: Publisher Site  Google Scholar
 W. Li and J. Xu, “Mechanical properties of basalt fibre reinforced geopolymeric concrete under impact loading,” Materials Science and Engineering: A, vol. 505, no. 12, pp. 178–186, 2009. View at: Publisher Site  Google Scholar
 C. Jiang, K. Fan, F. Wu, and D. Chen, “Experimental study on the mechanical properties and microstructure of chopped basalt fibre reinforced concrete,” Materials and Design, vol. 58, pp. 187–193, 2014. View at: Publisher Site  Google Scholar
 N. Kabay, “Abrasion resistance and fracture energy of concretes with basalt fibre,” Construction and Building Materials, vol. 50, pp. 95–101, 2014. View at: Publisher Site  Google Scholar
 JCI Standard SF4, Method of Tests for Flexural Strength and Flexural Toughness of FiberReinforced Concrete, Japan Concrete Institute Standards for Test Methods of Fiber Reinforced Concrete, Tokyo, Japan, 1984.
 ASTM C 1609, Standard Test Method for Flexural Performance of FiberReinforced Concrete (Using Beam with ThirdPoint Loading), ASTM International, West Conshohocken, PA, USA, 2005.
 CECS 13, Standard Test Methods for Fiber Reinforced Concrete, China Construction Engineering Association China Planning Press, Beijing, China, 2009.
 N. Banthia and M. Sappakittipakorn, “Toughness enhancement in steel fiber reinforced concrete through fiber hybridization,” Cement and Concrete Research, vol. 37, no. 9, pp. 1366–1372, 2007. View at: Publisher Site  Google Scholar
 A. Bentur and S. Mindess, Fiber Reinforced Cementitious Composites, Elsevier Applied Science, London, UK, 1990.
 P. Smarzewski, “Effect of curing period on properties of steel and polypropylene fibre reinforced ultrahigh performance concrete,” IOP Conference Series: Materials Science and Engineering, vol. 245, pp. 1–7, 2017. View at: Publisher Site  Google Scholar
 RILEM TC 50FMC, “Determination of the fracture energy of mortar and concrete by means of threepoint bend tests on notched beams,” Materials and Structures, vol. 18, no. 4, pp. 285–290, 1985. View at: Google Scholar
 RILEM TC 89FMT, “Sizeeffect method for determining fracture energy and process zone size of concrete,” Materials and Structures, vol. 23, no. 6, pp. 461–465, 1990. View at: Publisher Site  Google Scholar
 EN 123903, Testing Hardened Concrete. Compressive Strength of Test Specimens, 2002.
 EN 123906, Testing Hardened Concrete. Tensile Splitting Strength of Test Specimens, 2011.
 B. Chen and J. Liu, “Contribution of hybrid fibres on the properties of the high strength lightweight concrete having good workability,” Cement and Concrete Research, vol. 35, no. 5, pp. 913–917, 2005. View at: Publisher Site  Google Scholar
 A. E. Yurtseven, I. O. Yaman, and M. Tokyay, “Mechanical properties of hybrid fibre reinforced concrete,” in Measuring, Monitoring and Modeling Concrete Properties, pp. 207–214, Springer Netherlands, Dordrecht, The Netherlands, 2006. View at: Google Scholar
 ASTM C 1018, Standard Test Method for Flexural Toughness and FirstCrack Strength of FibreReinforced Concrete (Using Beam with ThirdPoint Loading), vol. 9, West Conshohocken, PA, US, 1992.
Copyright
Copyright © 2018 Piotr Smarzewski. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.