International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 13 Issue: 05 | May 2026 www.irjet.net p-ISSN: 2395-0072
TIME-DEPENDENT CRACK ARREST MECHANISMS IN STEEL–BASALT HYBRID FIBER REINFORCED HIGH-STRENGTH CEMENTITIOUS COMPOSITES UNDER PROGRESSIVE FLEXURAL LOADING
Surydeep Maurya1 , Mr. Ushendra Kumar2
1Master of Technology, Civil Engineering, Lucknow Institute of Technology, Lucknow, India
2Head of Department, Department of Civil Engineering, Lucknow Institute of Technology, Lucknow, India ***
Abstract High-strengthcementitiouscomposites(HSCC)are widely used in modern infrastructure due to their superior compressivestrength;however,theirinherentbrittlenessand susceptibility to cracking under flexural loading remain criticalchallenges.Thisstudy investigatesthetime-dependent crack arrest mechanisms in steel–basalt hybrid fiber reinforced HSCC subjected to progressive flexural loading. An experimental program was conducted using beam specimens withvaryingproportionsof steeland basaltfiberstoevaluate their individual and synergistic effects on crack behavior. Progressive displacement-controlled loading was applied to simulate realistic structural conditions and to capture crack initiation, propagation, and arrest over time. Crack development was monitored using visual mapping and crack width measurements, while load–deflection responses were recorded to assess flexural performance and toughness. The results indicate that hybrid fiber systems significantly delay crackinitiationandreducecrackpropagationratescompared to mono-fiber and control mixes. Steel fibers primarily contribute to macro-crack bridging and post-cracking strength,whereasbasaltfiberseffectivelycontrolmicro-crack initiation and distribution. The combined action results in enhancedcrackarrestcapability,improvedenergyabsorption, and increased ductility. The study demonstrates that optimizedhybridfibercombinationscansubstantiallyimprove the durability and structural performance of HSCC under progressive flexural loading conditions.
Key Words: Hybrid fibers; Steel fiber; Basalt fiber; Crack arrest; Time-dependent behavior; Flexural loading
1. INTRODUCTION
1.1 Background
1.1.1 High-Strength Cementitious Composites(HSCC) and Brittleness Issues
High-strengthcementitiouscomposites(HSCC)havegained widespread acceptance in modern civil engineering applications due to their superior compressive strength, dense microstructure, and enhanced durability characteristics.Thesematerialsaretypicallydesignedwith lowwater–cementratiosandsupplementarycementitious materialssuchassilicafume,whichcontributetoimproved mechanical performance and reduced permeability.
However,despitetheseadvantages,HSCCinherentlyexhibits brittlebehavior,characterizedbylowtensilestrengthand limited deformation capacity. Under flexural loading conditions, tensile stresses develop in the tension zone, leading to the initiation and rapid propagation of cracks. Unlikeconventionalconcrete,thehighstiffnessandreduced internal microcracking capacity of HSCC often result in sudden failure without significant warning, posing challenges in structural safety and serviceability (Neville, 2011;MehtaandMonteiro,2014).
1.1.2 Importance of Crack Control in Structural Durability
Crackcontrolisacriticalaspectinensuringthelong-term durability and performance ofconcretestructures.Cracks serve as primary pathways for the ingress of aggressive agentssuchaswater,chlorides,andsulfates,whichcanlead to reinforcement corrosion, chemical degradation, and reduction in structural integrity. In high-strength composites, where permeability is otherwise low, the presence of cracks significantly compromises durability. Effectivecrackcontrolnotonlyenhancesservicelifebutalso reduces maintenance costs and improves structural reliability. Therefore, mitigating crack initiation and controllingcrackpropagationunderloadingconditionsare essential for achieving sustainable and durable infrastructuresystems(BenturandMindess,2007).
1.2 Fiber Reinforcement in Concrete
1.2.1
Steel Fibers → Macro-Crack Control
Steelfibersarewidelyusedincementitiouscompositesdue to their high tensile strength, modulus of elasticity, and ability to improve post-cracking behavior. When incorporatedintoconcrete,steelfibersactascrack-bridging elementsthattransfertensilestressesacrosscracksurfaces. This mechanism significantly enhances resistance against macro-crackpropagation,whichtypicallyoccursafterinitial cracking.Thepull-outresistanceandmechanicalanchorage ofsteelfiberscontributetoincreasedenergyabsorptionand improved ductility. As a result, steel fiber reinforced concreteexhibitsenhancedload-carryingcapacityevenafter crackformation,therebytransformingthebrittlenatureof concreteintoamoreductileresponse(Naaman,2003).
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 13 Issue: 05 | May 2026 www.irjet.net p-ISSN: 2395-0072
1.2.2 Basalt Fibers → Micro-Crack Control
Basalt fibers, derived from natural volcanic rock, have emergedasaneffectivereinforcementmaterialduetotheir high tensile strength, chemical stability, and resistance to corrosion. Owing to their fine diameter and uniform dispersion within the cement matrix, basalt fibers are particularlyeffectiveincontrollingmicro-crackinitiationat early stages of loading. These fibers reduce stress concentrationwithinthematrixanddelaytheformationof visible cracks. Additionally, basalt fibers promote the development of multiple fine cracks rather than a single dominantcrack,therebyimprovingcrackdistributionand enhancingdurability.Their roleisespeciallysignificant in improving the initial cracking resistance and overall integrityofthecomposite(Simetal.,2005).
1.3 Hybrid Fiber Concept
1.3.1
Synergistic Multi-Scale Crack Resistance
Theconceptofhybridfiberreinforcementinvolvestheuseof twoormoretypesoffiberswithdifferentmechanicaland geometrical properties to achieve enhanced composite performance. In steel–basalt hybrid systems, the complementarybehavioroffibersenablescrackcontrolat multiplescales.Basaltfibersoperateatthemicro-level by delaying crack initiation and controlling early-stage crack growth,whilesteelfibersbecomeeffectiveatlaterstagesby bridging and arresting macro-cracks. This multi-scale reinforcementmechanismensurescontinuousresistanceto crackpropagationthroughouttheloadingprocess,resulting in improved toughness, ductility, and fracture resistance (BanthiaandGupta,2004).
1.3.2
Need for Combined Performance
Single-fiber systems often fail to provide comprehensive crackcontrolduetotheirlimitationinaddressingdifferent stagesofcrackdevelopment.Whilesteelfibersareeffective in controlling large cracks, they are less efficient in preventingmicro-crackformation.Conversely,basaltfibers excel in early-stage crack control but lack the stiffness requiredtoarrestwidercracks.Therefore,combiningthese fibersina hybridsystemisnecessarytoachievebalanced performance across all stages of cracking. This combined approach enhances both structural performance and durability, making hybrid fiber reinforced composites a promisingsolutionforadvancedconstructionapplications (YooandBanthia,2016).
1.4 Research Gap
1.4.1
Limited Studies on Time-Dependent
Crack Propagation
Although extensive research has been conducted on fiber reinforced concrete, most studies focus on instantaneous
mechanical properties rather than the time-dependent evolution of cracks. The progressive nature of crack development under sustained or incremental loading conditions is not fully understood, particularly in hybrid fibersystems.Thereisalackofexperimentaldatacapturing crackgrowthrates,delayincrackinitiation,andcrackarrest duration over time, which are critical for evaluating longtermperformance(Mindessetal.,2003).
1.4.2 Progressive Flexural Loading
Themajorityofexistingstudiesemploymonotonicloading conditions,whichdonotaccuratelyrepresentrealstructural behavior where loads are applied gradually or cyclically. Progressive flexural loading provides a more realistic simulation of in-service conditions, allowing detailed observation of crack initiation and propagation stages. However,limitedresearchhasbeenconductedusingsuch loadingtechniques,especiallyforhigh-strengthhybridfiber composites.
1.4.3 Steel–Basalt Hybrid Interaction Mechanisms
Whilehybridfibersystemshaveshownpromisingresults, thespecificinteractionmechanismsbetweensteelandbasalt fibersincontrollingcrackevolutionarenotwellestablished. The synergistic behavior, optimal fiber proportions, and theirinfluenceoncrackarrestefficiencyrequiresystematic investigation.Understandingthesemechanismsisessential for optimizing mix design and improving structural performance, which remains an important research gap addressedinthisstudy(Yooetal.,2017).
2. LITERATURE REVIEW
2.1 Behavior of Plain Concrete under Flexure
2.1.1 Crack Initiation and Brittle Failure
Plainconcreteexhibitsinherentlyweaktensileproperties, which significantly influence its behavior under flexural loading.Whensubjectedtobending,tensilestressesdevelop at the bottom fibers of a beam, leading to the initiation of micro-cracks at locations of stress concentration, particularly within the interfacial transition zone (ITZ) betweenaggregatesandcementpaste.Thesemicro-cracks, often present even before loading due to shrinkage and thermal effects, gradually propagate and coalesce into macro-cracks as the load increases. Due to the absence of internalreinforcementmechanisms,crackgrowthinplain concrete is rapid and unstable, resulting in sudden brittle failure with minimal warning. This lack of post-cracking load-carryingcapacityandenergyabsorptionmakesplain concreteunsuitableforapplicationsrequiringductilityand crackresistance(Neville,2011;MehtaandMonteiro,2014).
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 13 Issue: 05 | May 2026 www.irjet.net p-ISSN: 2395-0072
2.2 Steel Fiber Reinforced Concrete (SFRC)
2.2.1
Crack Bridging and Pull-Out Mechanisms
SteelFiberReinforcedConcrete(SFRC)incorporatesdiscrete steel fibers within the cementitious matrix to improve its tensileandflexuralperformance.Theprimarymechanismby which steel fibers enhance concrete behavior is through crackbridging.Whenacrackforms,fibersintersectingthe crack plane carry tensile stresses across the crack faces, therebydelayingcrackopeningandpropagation.Asloading progresses,fibersundergopull-outorrupture,duringwhich significant energy is dissipated. The pull-out mechanism, governed by fiber–matrix bond strength and mechanical anchorage(suchashookedends),contributestoimproved toughnessandductility.Thisprocesstransformsthebrittle natureofconcreteintoamoreductileresponse,allowingthe material to sustain loads even after cracking (Naaman, 2003)
2.2.2
Limitations in Micro-Crack Control
Despitetheireffectivenessincontrollingmacro-cracks,steel fibershavelimitedefficiencyinpreventingtheinitiationof micro-cracks. This limitation is primarily due to their relatively larger diameter and lower dispersion density withinthe matrix.Asa result,micro-cracksmayformand propagatebeforethefibersbecomefullyeffectiveinbridging largercracks.Thisearly-stagecrackingcanstillcompromise durabilityandstructuralintegrity,indicatingthatsteelfibers alonemaynotprovidecomprehensivecrackcontrolacross allstagesofloading(Mindessetal.,2003).
2.3 Basalt Fiber
Reinforced Concrete (BFRC)
2.3.1 Micro-Crack Control and
Durability Benefits
BasaltFiberReinforcedConcrete(BFRC)hasemergedasa promisingalternativeduetothefavorablemechanicaland chemical properties of basalt fibers. These fibers are characterized by fine diameter, high tensile strength, and excellent resistance to chemical attack and temperature variations. Their small size allows for uniform dispersion withinthecementmatrix,makingthemhighlyeffectivein controllingmicro-crackinitiationatearlystagesofloading. By reducing stress concentrations and interrupting crack formation, basaltfibersdelay theonsetofvisiblecracking andpromoteamoredistributedcrackpattern.Additionally, their resistance to corrosion enhances the durability of concretestructures,especiallyinaggressiveenvironmental conditions(Simetal.,2005).
2.3.2
Limitations in Macro-Crack Resistance
Although basalt fibers are effective in controlling microcracks, they exhibit limitations in resisting macro-crack propagation.Duetotheirrelativelylowerstiffnessandpulloutresistancecomparedtosteelfibers,basaltfibersareless capableofbridgingwidercracksthatdevelopatlaterstages
ofloading.Consequently,oncemacro-cracksform,theability ofbasaltfiberstopreventrapidcrackwideningislimited. Thisshortcominghighlightstheneedforcombiningbasalt fibers with stronger reinforcement elements to achieve comprehensivecrackcontrol(YooandBanthia,2016).
2.4 Hybrid Fiber Reinforced Systems
2.4.1
Synergistic Effects
Hybridfiberreinforcedsystemsinvolvetheuseofmultiple fiber types with different properties to achieve enhanced compositeperformance.Thecombinationofsteelandbasalt fibers provides a synergistic effect, where each fiber type contributesatdifferentstagesofcrackdevelopment.Basalt fibersactatthemicro-levelbycontrollingearly-stagecrack initiation, while steel fibers operate at the macro-level by bridging and arresting larger cracks. This complementary actionresultsinimprovedcrackresistanceacrossmultiple scales, enhancing overall structural performance. The synergy between fibers leads to more efficient stress redistributionandimprovedfractureresistancecomparedto mono-fibersystems(BanthiaandGupta,2004).
2.4.2 Improvement in Toughness and Ductility
Theincorporationofhybridfiberssignificantlyimprovesthe toughness and ductility of cementitious composites. Toughness,definedastheenergyabsorptioncapacityofa material, is enhanced due to the combined effects of fiber bridging,pull-out,andcrackdeflectionmechanisms.Hybrid systems exhibit a larger area under the load–deflection curve, indicating higher energy dissipation before failure. Additionally,thepresenceofmultiplefibertypesresultsina more gradual and controlled failure process, improving deformation capacity and reducing the risk of sudden collapse.Thisenhancedductilityisparticularlybeneficialin structuralapplicationssubjectedtodynamicorprogressive loadingconditions(Yooetal.,2017).
2.5 Time-Dependent Crack Behavior
2.5.1 Crack Initiation → Propagation → Failure Stages
Crack development in cementitious composites under loading is a time-dependent process that evolves through distinct stages. Initially, micro-cracks form due to stress concentrations and inherent material defects. As loading continues,thesemicro-crackspropagateandcoalesceinto largercracksinastablemanner,leadingtogradualstiffness degradation.Inthefinalstage,macro-cracksdominateand propagaterapidly,resultinginfailure.Thisprogressionfrom initiation to failure is influenced by material properties, loading conditions, and internal microstructure. Understanding these stages is essential for evaluating structural performance and predicting failure behavior (MehtaandMonteiro,2014).
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 13 Issue: 05 | May 2026 www.irjet.net p-ISSN: 2395-0072
2.5.2 Role of Fibers in Delaying Crack Growth
Fibersplayacrucialroleinmodifyingtime-dependentcrack behaviorbyinteractingwithdevelopingcracksandaltering theirgrowthpatterns.Theyincreasethefractureenergyof the composite, making it more resistant to crack propagation.Fiberbridgingdelayscrackopening,whilepulloutmechanismsdissipateenergyandreducecrackgrowth rates. Additionally, fibers can cause crack deflection and branching, increasing the effective crack path and further resisting propagation. In hybrid systems, this effect is amplifiedduetothecombinedactionofdifferentfibertypes, resulting in delayed crack initiation, reduced propagation rate, and enhanced crack arrest capability. These mechanismscontributetoimproveddurability,ductility,and long-term structural performance (Bentur and Mindess, 2007).
3. MATERIALS AND METHODS
High-strengthcementitiouscompositeswerepreparedusing OPC 53 cement, well-graded fine and coarse aggregates, silica fume, and a superplasticizer to achieve adequate workabilityatalowwater–cementratio.Hooked-endsteel fibersandbasaltfiberswereincorporatedtoprovidemacroand micro-crack control, respectively. The mix design targeted a compressive strength of 60–80 MPa, and five different mixes were developed: M0 (control), M1 (1.0% steel),M2(0.3%basalt),M3(0.7%steel+0.3%basalt),and M4 (0.5% steel + 0.5% basalt) to evaluate individual and hybridfibereffects.Beamspecimensofsize100×100×500 mmwerecastusingpropermixingandvibrationtechniques to ensure uniform fiber distribution, followed by water curing for 28 days. The experimental program included compressive strength testing and flexural strength evaluationusingstandardthird-pointloadingasperASTM C1609. Progressive flexural loading was applied under displacement-controlled conditions with incremental loadingandholdingstagestocapturetime-dependentcrack behavior. Crack development was monitored using visual crack mapping, crack width measurements, and, where applicable,digitalimageanalysistechniquestoassesscrack initiation,propagation,andarrestcharacteristics.
4. Results
4.1 Compressive Strength
4.1.1
Comparison Across Mixes
Thecompressivestrengthresultsforallmixeswereobtained after28daysofcuring.Thecontrolmix(M0)exhibitedthe baselinecompressivestrengthwithinthetargetedrangeof high-strengthconcrete.Theinclusionofsteelfibersinmix M1resultedinamarginalincreaseincompressivestrength comparedtoM0.Similarly,thebasaltfibermix(M2)showed a slight improvement over the control specimen. Hybrid mixes M3 and M4 demonstrated comparatively higher
compressivestrengthvaluesthanmono-fibermixes.Among allspecimens,mixM3(0.7%steel+0.3%basalt)recorded thehighestcompressivestrength,followedbymixM4.The variation in compressive strength across mixes remained withinalimitedrange,indicatingthatfiberadditionhada moderateinfluenceoncompressivebehavior.
4.2 Flexural Strength
4.2.1
Strength Enhancement Due to Fibers
Flexural strength results indicated a significant improvement in fiber-reinforced mixes compared to the controlmix.Thecontrolspecimen(M0)showedthelowest flexural strength and failed abruptly after crack initiation. Mix M1 (steel fiber) exhibited a noticeable increase in flexuralstrengthduetoenhancedcrack-bridgingcapacity. MixM2(basaltfiber)showedmoderateimprovementover thecontrolmix.HybridmixesM3andM4demonstratedthe highest flexural strength values among all specimens. Mix M3recordedthemaximumenhancement,followedbyM4, indicatingimprovedload-carryingcapacityunderbending conditions.
4.3 Load–Deflection Behavior
4.3.1
Ultimate Deflection
The load–deflection curves revealed variations in deformationcapacityamongdifferentmixes.Thecontrolmix (M0) exhibited the lowest ultimate deflection, indicating brittlebehavior.Fiber-reinforcedmixesshowedincreased deflection capacity before failure. Steel fiber mix (M1) demonstrated higher deflection compared to M0, while basalt fiber mix (M2) showed moderate improvement. Hybrid mixes M3 and M4 exhibited the highest ultimate deflectionvalues,indicatingenhanceddeformationcapacity.
4.3.2 Post-Cracking Response
Post-crackingbehaviordifferedsignificantlyacrossmixes. Thecontrolmixdisplayedasuddendropinloadafterinitial cracking. In contrast, fiber-reinforced mixes exhibited gradualloadreductionbeyondthefirstcrack.Steelfibermix showedastablepost-crackingresponsewithsustainedload capacity. Basalt fiber mix exhibited limited post-cracking resistance. Hybrid mixes demonstrated improved postcrackingperformance,withextendedload-carryingcapacity andsmootherload–deflectioncurves.
4.4 Crack Pattern
4.4.1
Control vs Mono vs Hybrid
Crack patterns varied noticeably among the mixes. The controlmix(M0)developedasingledominantcrackleading tosuddenfailure.Thesteelfibermix(M1)exhibitedfewer butwidercracks,indicatingeffectivemacro-crackbridging. The basalt fiber mix (M2) showed multiple fine cracks
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 13 Issue: 05 | May 2026 www.irjet.net p-ISSN: 2395-0072
distributedalongthetensionzone.HybridmixesM3andM4 displayed a combination of both behaviors, with multiple finecracksandcontrolledcrackwidths.Crackdistributionin hybrid specimens wasmore uniform comparedto control andmono-fibermixes.
4.5 Time-Dependent Crack Behavior
4.5.1
Crack Initiation Time
Thetimerequiredforinitialcrackformationvariedacross mixes.Thecontrolmixexhibitedtheearliestcrackinitiation underloading.Fiber-reinforcedmixesshoweddelayedcrack initiation.Basaltfibermix(M2)demonstratedgreaterdelay comparedtosteelfibermix(M1).HybridmixesM3andM4 showed the longest crack initiation time among all specimens.
4.5.2 Crack Propagation Rate
Therateofcrackpropagationdifferedsignificantlybetween mixes. The control mix showed rapid crack growth after initiation.Steelfibermixreducedthepropagationratedue tocrack-bridgingeffects.Basaltfibermixexhibitedslower initialcrackgrowth.Hybridmixesdemonstratedthelowest crack propagation rates, with gradual crack development observedduringloading.
4.5.3
Crack Arrest Duration
The duration for which cracks remained stable before furtherpropagationwasrecordedascrackarrestduration. The control mix showed negligible crack arrest behavior. Fiber-reinforced mixes exhibited increased crack arrest duration. Steel fiber mix provided moderate crack arrest, while basalt fiber mix showed limited resistance at later stages.HybridmixesM3andM4exhibitedthehighestcrack arrest duration, indicating improved resistance to crack growthovertime.
5. CONCLUSIONS
This study investigated the time-dependent crack arrest mechanisms in steel–basalt hybrid fiber reinforced highstrengthcementitiouscompositessubjectedtoprogressive flexuralloading.Theexperimentalresultsdemonstratethat the incorporation of fibers significantly enhances both mechanicalperformanceandcrackresistancecomparedto plainconcrete.Compressivestrengthshowedonlymarginal variationwithfiberaddition,indicatingthatfibersprimarily influencetensileandflexuralbehavior.Incontrast,flexural strength improved considerably, with hybrid fiber mixes exhibitingthehighestload-carryingcapacity.
Theload–deflectionresponserevealedthatfiber-reinforced composites possess superior deformation capacity and improved post-cracking behavior. Steel fibers contributed effectively to macro-crack bridging and sustained load resistance, whereas basalt fibers controlled micro-crack
initiationanddistribution.Thehybridizationofthesefibers resulted in a synergistic effect, leading to enhanced toughnessandductility.
Crack pattern analysis indicated that hybrid mixes developed multiple fine cracks with controlled widths, as opposed tothe singledominantcrack observed in control specimens.Time-dependentobservationsfurtherconfirmed thathybridfibersystemsdelayedcrackinitiation,reduced crackpropagationrates,andincreasedcrackarrestduration. Among all mixes, the combination of 0.7% steel and 0.3% basaltfibersdemonstratedthemosteffectiveperformance.
Overall,thestudyestablishesthatsteel–basalthybridfiber reinforcementsignificantlyimprovescrackarrestcapability and structural performance of high-strength cementitious compositesunderprogressiveflexuralloadingconditions.
6. FUTURE SCOPE
Futureresearchcanextendthisstudybyinvestigatingthe long-termdurabilityperformanceofhybridfiberreinforced compositesunderenvironmentalexposureconditionssuch asfreeze–thawcycles,chlorideingress,andchemicalattack. The influence of creep and shrinkage on time-dependent crackbehavioralsorequiresdetailedexamination.Advanced monitoringtechniques,includingdigitalimagecorrelation (DIC)andacousticemissionanalysis,canbeemployedfor moreprecisecracktracking.Numericalmodelingandfinite element analysis may be developed to simulate crack propagationmechanismsandoptimizefibercombinations. Additionally, exploring different fiber geometries, lengths, and hybrid ratios can help identify more efficient reinforcement strategies. Field-scale validation and application in real structural elements would further supportthepracticalimplementationofthesecomposites.
REFERENCES
1. Bhosale, A.B. and Prakash, S.S. (2020) ‘Crack propagation analysis of synthetic vs. steel vs. hybrid fibre-reinforced concrete beams using digital image correlation technique’, International Journal of ConcreteStructuresandMaterials,14,p.57.
2. Çelik, Z. and Urtekin, Y. (2025) ‘Effects of high temperature and water re-curing on the flexural behavior of steel–basalt hybrid fiber-reinforced concrete’,AppliedSciences,15(3),p.1587.
3. Vijayakumar, M. et al. (2024) ‘Comparative study of basalt fiber and steel fiber as additives to concrete’, MATECWebofConferences,392,p.01009.
4. Jenifer, J.V. and Brindha, D. (2021) ‘Development of hybridsteel–basaltfiberreinforcedconcrete:Flexure, fracture and microstructure’, Revista de la Construcción,20(1),pp.62–75.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 13 Issue: 05 | May 2026 www.irjet.net p-ISSN: 2395-0072
5. Gali,S.andSubramaniam,K.V.L.(2017)‘Evaluationof crack propagation and post-cracking hinge-type behavior in SFRC’, International Journal of Concrete StructuresandMaterials,11,pp.365–375.
6. Zhang, Y. et al. (2018) ‘Effect of basalt fibers on mechanical properties of hybrid fiber reinforced concrete’,ConstructionandBuildingMaterials,192,pp. 742–753.
7. Wang, X. et al. (2020) ‘Cracking behaviour and constitutive modelling of hybrid fibre reinforced concrete’, Journal of Building Engineering, 30, p. 101272.
8. Liu,H.etal.(2022)‘Propertiesofhybridsteel–basalt fiber reinforced concrete under environmental conditions’,ConstructionandBuildingMaterials,322,p. 126340.
9. Zhao,Y.etal.(2025)‘Crackpropagationofbasaltfiber reinforcedconcretebasedonperidynamics’,Mechanics ofCompositeMaterials,61(5),pp.1039–1056.
10. Sivakumar,A.andSanthanam,M.(2007)‘Mechanical properties of high strength concrete reinforced with metallicandnon-metallicfibres’,CementandConcrete Composites,29(8),pp.603–608.
11. Yoo, D.Y. et al. (2015) ‘Effect of fiber content on mechanical and fracture properties of ultra-highperformance fiber-reinforced concrete’, Composite Structures,134,pp.123–134.
12. Afroughsabet, V. and Ozbakkaloglu, T. (2015) ‘Mechanicalanddurabilitypropertiesofhigh-strength concrete containing steel and polypropylene fibers’, ConstructionandBuildingMaterials,94,pp.73–82.
13. Kizilkanat,A.B.etal.(2015)‘Mechanicalpropertiesand fracture behavior of basalt and glass fiber reinforced concrete’,ConstructionandBuildingMaterials,75,pp. 25–34.
14. Yazıcı,Ş.etal.(2007)‘Effectofaspectratioandvolume fraction of steel fiber on mechanical properties of SFRC’,ConstructionandBuildingMaterials,21(6),pp. 1250–1253.
15. Song,P.S.andHwang,S.(2004)‘Mechanicalproperties of high-strength steel fiber reinforced concrete’, Construction and Building Materials, 18(9), pp. 669–673.
16. Li,V.C.(2003)‘Onengineeredcementitiouscomposites (ECC): A review of the material and its applications’, Journal of Advanced Concrete Technology, 1(3), pp. 215–230.
17. Banthia,N.andSappakittipakorn,M.(2007)‘Toughness enhancementinsteelfiberreinforcedconcretethrough fiber hybridization’, Cement and Concrete Research, 37(9),pp.1366–1372.
18. Khaloo, A.R. et al. (2014) ‘Influence of steel fibers on mechanical properties of high-strength concrete’, ConstructionandBuildingMaterials,51,pp.49–57.
19. Ding,Y.etal.(2012)‘Mechanicalpropertiesofhybrid fiberreinforcedconcreteatlowfibervolumefraction’, CementandConcreteResearch,42(3),pp.415–422.
20. Xu,S.andReinhardt,H.W.(2000)‘Asimplifiedmethod for determining double-K fracture parameters’, InternationalJournalofFracture,104,pp.181–209.
21. Bentur, A. (2009) ‘Fiber-reinforced cementitious composites: Current status and future directions’, MaterialsandStructures,42(2),pp.129–134.
22. Mindess, S. (2010) ‘The evolution of fiber reinforced concrete’, Journal of Materials in Civil Engineering, 22(11),pp.1026–1035.
23. Naaman, A.E. and Reinhardt, H.W. (2006) High Performance Fiber Reinforced Cement Composites (HPFRCC).RILEMPublications.
24. Yoo,D.Y.andKim,M.J.(2019)‘High-performancefiberreinforced concrete: Review and applications’, Materials,12(21),p.3540.
25. Zhang, J. et al. (2014) ‘Fracture properties of hybrid fiber reinforced concrete’, Engineering Fracture Mechanics,132,pp.1–16.