Mesoscopic Modeling Approach and Application for Steel Fiber Reinforced Concrete under Dynamic Loading: A Review
Received date: 22 Nov 2020
Published date: 24 Jan 2022
Steel fiber reinforced concrete (SFRC) has drawn extensive attention in recent years for its superior mechanical response to dynamic and impact loadings. Based on the existing test results, the highstrength steel fibers embedded in a concrete matrix usually play a strong bridging effect to enhance the bonding force between fiber and the matrix, and directly contribute to the improvement of the post-cracking behavior and residual strength of SFRC. To gain a better understanding of the action behavior of steel fibers in matrix and further capture the failure mechanism of SFRC under dynamic loads, the mesoscopic modeling approach that assumes SFRC to be composed of different mesoscale phases (i.e., steel fibers, coarse aggregates, mortar matrix, and interfacial transition zone (ITZ)) has been widely employed to simulate the dynamic responses of SFRC material and structural members. This paper presents a comprehensive review of the state-of-the-art mesoscopic models and simulations for SFRC under dynamic loading. Generation approaches for the SFRC mesoscale model in the simulation works, including steel fiber, coarse aggregate, and the ITZ between them, are reviewed and compared systematically. The material models for different phases and the interaction relationship between fiber and concrete matrix are summarized comprehensively. Additionally, some example applications for SFRC under dynamic loads (i.e., compression, tension, and contact blast) simulated using the general mesoscale models are given. Finally, some critical analysis on the current shortcomings of the mesoscale modeling of SFRC is highlighted, which is of great significance for the future investigation and development of SFRC.
Jinhua Zhang , Zhangyu Wu , Hongfa Yu , Haiyan Ma , Bo Da . Mesoscopic Modeling Approach and Application for Steel Fiber Reinforced Concrete under Dynamic Loading: A Review[J]. Engineering, 2022 , 16(9) : 220 -238 . DOI: 10.1016/j.eng.2022.01.011
[1] |
Singh H. Steel fiber reinforced concrete: behavior, modelling and design. New York City: Springer; 2017.
|
[2] |
Hsu TTC, Slate FO. Tensile bond strength between aggregate and cement paste or mortar. J Am Concr Inst Proc 1963;60(4):465–86.
|
[3] |
Hsu TTC, Slate FO, Sturman GM, Winter G. Microcracking of plain concrete and the shape of the stress–strain curve. J Am Concr Inst Proc 1963;60(2):209–24.
|
[4] |
Fang Q, Zhang J. Three-dimensional numerical modelling of concrete-like materials subjected to dynamic loadings. In: Hao H, Li ZX, editors. Advances in protective structures research. Boca Raton: Routledge and CRC Press; 2012.
|
[5] |
Shi C, Wu Z, Xiao J, Wang D, Huang Z, Fang Z. A review on ultra high performance concrete: Part I. Raw materials and mixture design. Constr Build Mater 2015;101:741–51.
|
[6] |
Ríos JD, Cifuentes H, Leiva C, Seitl S. Analysis of the mechanical and fracture behavior of heated ultra-high-performance fiber-reinforced concrete by X-ray computed tomography. Cement Concr Res 2019;119:77–88.
|
[7] |
Yoo DY, Banthia N. Mechanical properties of ultra-high-performance-fiber reinforced concrete: a review. Cement Concr Compos 2016;73:267–80.
|
[8] |
Barnett SJ, Lataste JF, Parry T, Millard SG, Soutsos MN. Assessment of fiber orientation in ultra high performance fiber reinforced concrete and its effect on flexural strength. Mater Struct 2010;43(7):1009–23.
|
[9] |
Lok TS, Zhao PJ. Impact response of steel fiber-reinforced concrete using a split Hopkinson pressure bar. J Mater Civ Eng 2004;16(1):54–9.
|
[10] |
Babafemi AJ, Boshoff WP. Testing and modelling the creep of cracked macrosynthetic fibre reinforced concrete (MSFRC) under flexural loading. Mater Struct 2016;49(10):4389–400.
|
[11] |
Guo Z, Zhuang C, Li Z, Chen Y. Mechanical properties of carbon fiber reinforced concrete (CFRC) after exposure to high temperatures. Comp Struct 2020;256:1113072.
|
[12] |
Mastali M, Dalvand A, Sattarifard A. The impact resistance and mechanical properties of the reinforced self-compacting concrete incorporating recycled CFRP fiber with different lengths and dosages. Compos Part B Eng 2017;112:74–92.
|
[13] |
Tabatabaei ZS, Volz JS, Baird J, Gliha BP, Keener DI. Experimental and numerical analyses of long carbon fiber reinforced concrete panels exposed to blast loading. Int J Impact Eng 2013;57:70–80.
|
[14] |
Ali B, Qureshi LA. Influence of glass fibers on mechanical and durability performance of concrete with recycled aggregates. Constr Build Mater 2019;228:116783.
|
[15] |
Kizilkanat AB, Kabay N, Akyüncü V, Chowdhury S, Akça AH. Mechanical properties and fracture behavior of basalt and glass fiber reinforced concrete: an experimental study. Constr Build Mater 2015;100:218–24.
|
[16] |
Ramakrishna G, Sundararajan T. Studies on the durability of natural fibres and the effect of corroded fibres on the strength of mortar. Cement Concr Compos 2005;27(5):575–82.
|
[17] |
Merta I, Tschegg EK. Fracture energy of natural fibre reinforced concrete. Constr Build Mater 2013;40:991–7.
|
[18] |
Agopyan V, Savastano Jr H, John VM, Cincotto MA. Developments on vegetable fibre-cement based materials in São Paulo, Brazil: an overview. Cement Concr Compos 2005;27(5):527–36.
|
[19] |
Yoo DY, Banthia N. Mechanical and structural behaviors of ultra-highperformance fiber-reinforced concrete subjected to impact and blast. Constr Build Mater 2017;149:416–31.
|
[20] |
Xu Z, Hao H, Li H. Mesoscale modelling of fibre reinforced concrete material under compressive impact loading. Constr Build Mater 2012;26(1):274–88.
|
[21] |
Suaris W, Shah SP. Strain-rate effects in fiber-reinforced concrete subjected to impact and impulsive loading. Composites 1982;13(2):153–9.
|
[22] |
Wille K, Kim DJ, Naaman AE. Strain-hardening UHP-FRC with low fiber contents. Mater Struct 2011;44(3):583–98.
|
[23] |
Kang ST, Lee Y, Park YD, Kim JK. Tensile fracture properties of an ultra high performance fiber reinforced concrete (UHPFRC) with steel fiber. Compos Struct 2010;92(1):61–71.
|
[24] |
Yoo DY, Lee JH, Yoon YS. Effect of fiber content on mechanical and fracture properties of ultra high performance fiber reinforced cementitious composites. Compos Struct 2013;106:742–53.
|
[25] |
Li B, Xu L, Shi Y, Chi Y, Liu Q, Li C. Effects of fiber type, volume fraction and aspect ratio on the flexural and acoustic emission behaviors of steel fiber reinforced concrete. Constr Build Mater 2018;181:474–86.
|
[26] |
Cao YYY, Yu Q. Effect of inclination angle on hooked end steel fiber pullout behavior in ultra-high performance concrete. Compos Struct 2018;201:151–60.
|
[27] |
Mindess S, Zhang L. Impact resistance of fibre-reinforced concrete. Proc Inst Civ Eng Struct Build 2009;162(1):69–76.
|
[28] |
Cadoni E, Meda A, Plizzari G. Tensile behaviour of FRC under high strain-rate. Mater Struct 2009;42(9):1283–94.
|
[29] |
Asprone D, Cadoni E, Prota A. Experimental analysis on tensile dynamic behavior of existing concrete under high strain rates. ACI Mater J 2009;106:106–13.
|
[30] |
Tedesco JW, Ross CA. Experimental and numerical analysis of high strain rate splitting-tensile tests. ACI Mater J 1993;90:162–9.
|
[31] |
Wang Z, Wu J, Wang J. Experimental and numerical analyses on effect of fiber aspect ratio on mechanical properties of SRFC. Constr Build Mater 2010;24 (4):559–65.
|
[32] |
Mansur MA, Chin MS, Wee TH. Stress–strain relationship of high-strength fiber concrete in compression. J Mater Civ Eng 1999;11(1):21–9.
|
[33] |
Shafieifa M, Farzad M, Azizinamini A. Experimental and numerical study on mechanical properties of ultra high performance concrete (UHPC). Constr Build Mater 2017;156:402–11.
|
[34] |
Liu J, Wu C, Su Y, Li J, Shao R, Chen G, et al. Experimental and numerical studies of ultra-high performance concrete targets against high-velocity projectile impacts. Eng Struct 2018;173:166–79.
|
[35] |
Mao L, Barnett S, Begg D, Schleyer G, Wight G. Numerical simulation of ultra high performance fibre reinforced concrete panel subjected to blast loading. Int J Impact Eng 2014;64:91–100.
|
[36] |
Shafieifar M, Farzad M, Azizinamini A. A comparison of existing analytical methods to predict the flexural capacity of ultra high performance concrete (UHPC) beams. Constr Build Mater 2018;172:10–8.
|
[37] |
Li J, Wu C, Hao H. Investigation of ultra-high performance concrete slab and normal strength concrete slab under contact explosion. Eng Struct 2015;102:395–408.
|
[38] |
Wu Z, Zhang J, Yu H, Fang Q, Ma H, Chen L. Three-dimensional mesoscopic investigation on the impact of specimen geometry and bearing strip size on the splitting-tensile properties of coral aggregate concrete. Engineering 2021. In press.
|
[39] |
Zhang J, Liu X, Wu Z, Yu H, Fang Q. Fracture properties of steel fiber reinforced concrete: size effect study via mesoscale modelling approach. Eng Fract Mech 2022;260:108193.
|
[40] |
Liu C, Liu Z, Zhang Y. A multi-scale framework for modelling effective gas diffusivity in dry cement paste: combined effects of surface, Knudsen and molecular diffusion. Cement Concr Res 2020;131:106035.
|
[41] |
Liu C, Wang F, Zhang M. Modelling of 3D microstructure and effective diffusivity of fly ash blended cement paste. Cement Concr Compos 2020;110:103586.
|
[42] |
Wu Z, Zhang J, Fang Q, Yu H, Ma H. Mesoscopic modelling of concrete material under static and dynamic loadings: a review. Constr Build Mater 2021;278:122419.
|
[43] |
Liu J, Wu C, Chen X. Numerical study of ultra-high performance concrete under non-deformable projectile penetration. Constr Build Mater 2017;135:447–58.
|
[44] |
Xu Z, Hao H, Li H. Mesoscale modelling of dynamic tensile behaviour of fibre reinforced concrete with spiral fibres. Cement Concr Res 2012;42 (11):1475–93.
|
[45] |
Fang Q, Zhang J. Three-dimensional modelling of steel fiber reinforced concrete material under intense dynamic loading. Constr Build Mater 2013;44:118–32.
|
[46] |
Liang X, Wu C. Meso-scale modelling of steel fibre reinforced concrete with high strength. Constr Build Mater 2018;165:187–98.
|
[47] |
Schell J, Renggli M, Van Lenthe G, Müller R, Ermanni P. Micro-computed tomography determination of glass fibre reinforced polymer meso-structure. Compos Sci Technol 2006;66(13):2016–22.
|
[48] |
Sharma R, Mahajan P, Mittal RK. Fiber bundle push-out test and image-based finite element simulation for 3D carbon/carbon composites. Carbon 2012;50 (8):2717–25.
|
[49] |
Qsymah A, Sharma R, Yang Z, Margetts L, Mummery P. Micro X-ray computed tomography image-based two-scale homogenisation of ultra high performance fibre reinforced concrete. Constr Build Mater 2017;130:230–40.
|
[50] |
Suuronen JP, Kallonen A, Eik M, Puttonen J, Serimaa R, Herrmann H. Analysis of short fibres orientation in steel fibre-reinforced concrete (SFRC) by X-ray tomography. J Mater Sci 2013;48:1358–67.
|
[51] |
Ponikiewski T, Katzer J, Bugdol M, Rudzki M. Steel fibre spacing in selfcompacting concrete precast walls by X-ray computed tomography. Mater Struct 2015;48:3863–74.
|
[52] |
Zhang R. Failure behavior of steel fiber reinforced concrete material and beams subjected to both fire and impact loadings [dissertation]. Beijing: Beijing University of Technology; 2020. Chinese.
|
[53] |
Zhang C, Liu P, Li K, Shi C. Generation and properties analysis of 3D mesoscale models for plain and fiber reinforced concretes. Cement Concr Compos 2020;114:103714.
|
[54] |
Stock AF, Hannantt DJ, Williams RIT. The effect of aggregate concentration upon the strength and modulus of elasticity of concrete. Mag Concr Res 1979;31(109):225–34.
|
[55] |
Naderi S, Zhang M. A novel framework for modelling the 3D mesostructure of steel fibre reinforced concrete. Comput Struc 2020;234:106251.
|
[56] |
Xu Z, Hao H, Li H. Dynamic tensile behaviour of fibre reinforced concrete with spiral fibres. Mater Des 2012;42:72–88.
|
[57] |
Banthia N, Mindess S, Trottier JF. Impact resistance of steel fiber reinforced concrete. ACI Mater J 1996;93(5):472–9.
|
[58] |
Su Y, Li J, Wu C, Wu P, Tao M, Li X. Mesoscale study of steel fibre-reinforced ultra-high performance concrete under static and dynamic loads. Mater Des 2017;116:340–51.
|
[59] |
Wu P, Wu C, Liu Z, Xu S. Numerical simulation of SHPB test of ultra-high performance fiber reinforced concrete with meso-scale model. Sci Sin Phys Mech Astron 2020;50(2):024614. Chinese.
|
[60] |
Zhao Q, Xu S, Liu Z. Microscopic numerical simulation of the uniaxial compression of steel fiber reinforced ultra-high performance concrete. Acta Mater Compos Sin 2018;35(6):1661–73. Chinese.
|
[61] |
Shu G, Zhang Q, Huang Y, Bu Y. Micromechanical analysis of steel fiber corrosion in ultra-high performance concrete. J Southwest Jiaotong Univ 2019;54(6):1268–76. Chinese.
|
[62] |
Han F, Azdoud Y, Lubineau G. Computational modeling of elastic properties of carbon nanotube/polymer composites with interphase regions. Part I: microstructural characterization and geometric modeling. Comput Mater Sci 2014;81:641–51.
|
[63] |
Han F, Maloth T, Lubineau G, Yaldiz R, Tevtia A. Computational investigation of the morphology, efficiency, and properties of silver nano wires networks in transparent conductive film. Sci Rep 2018;8:17494.
|
[64] |
Wittmann FH, Roelfstra PE, Sadouki H. Simulation and analysis of composite structures. Mater Sci Eng 1985;68(2):239–48.
|
[65] |
Yu Y, Cui J, Han F. An effective computer generation method for the composites with random distribution of large numbers of heterogeneous grains. Compos Sci Technol 2008;68(12):2543–50.
|
[66] |
Han F, Cui J, Yu Y. The statistical second-order two-scale method for thermomechanical properties of statistically inhomogeneous materials. Comput Mater Sci 2009;46(3):654–9.
|
[67] |
Guan X, Liu X, Jia X, Yuan Y, Cu J, Mang HA. A stochastic multiscale model for predicting mechanical properties of fiber reinforced concrete. Int J Solids Struct 2015;56–57:280–9.
|
[68] |
Chen G, Hadi MNS, Gao D, Zhao L. Experimental study on the properties of corroded steel fibres. Constr Build Mater 2015;79:165–72.
|
[69] |
Zhang S, Zhang C, Liao L, Wang C, Zhao R. Investigation into the effect of fibre distribution on the post-cracking tensile strength of SFRC through physical experimentation and numerical simulation. Constr Build Mater 2020;248:118433.
|
[70] |
Wriggers P, Moftah SO. Mesoscale models for concrete: homogenisation and damage behaviour. Finite Elem Anal Des 2006;42(7):623–36.
|
[71] |
Jin L, Hao H, Zhang R, Du X. Mesoscale simulation on the effect of elevated temperature on dynamic compressive behavior of steel fiber reinforced concrete. Fire Technol 2020;56(4):1801–23.
|
[72] |
Zhou X, Hao H. Modelling of concrete tensile failure mechanism at high strain rates. Comput Struc 2008;86(21–22):2013–26.
|
[73] |
Xu WX, Chen HS. Numerical investigation of effect of particle shape and particle size distribution on fresh cement paste microstructure via random sequential packing of dodecahedral cement particles. Comput Struc 2013;114–115:35–45.
|
[74] |
Han F, Cui J, Yu Y. The statistical two-order and two-scale method for predicting the mechanics parameters of core–shell particle-filled polymer composites. Interact Multiscale Mech 2008;1(2):231–50.
|
[75] |
Zhang Z, Song X, Liu Y, Wu D, Song C. Three-dimensional mesoscale modelling of concrete composites by using random walking algorithm. Compos Sci Technol 2017;149:235–45.
|
[76] |
Fang Q, Zhang J, Huan Y, Zhang Y. The investigation into three-dimensional mesoscale modelling of fully-graded concrete. Eng Mech 2013;30(1):14–21. Chinese.
|
[77] |
Xu W, Chen H, Lv Z. An overlapping detection algorithm for random sequential packing of elliptical particles. Phys A 2011;390(13):2452–67.
|
[78] |
Ma H, Xu W, Li Y. Random aggregate model for mesoscopic structures and mechanical analysis of fully-graded concrete. Comput Struc 2016;177:103–13.
|
[79] |
Yan P, Zhang J, Fang Q, Zhang Y, Fan J. 3D numerical modelling of solid particles with randomness in shape considering convexity and concavity. Powder Technol 2016;301:131–40.
|
[80] |
Wu Z, Zhang J, Yu H, Ma H. 3D mesoscopic investigation of the specimen aspect-ratio effect on the compressive behavior of coral aggregate concrete. Compos Part B Eng 2020;198:108025.
|
[81] |
Wu Z, Zhang J, Yu H, Ma H, Chen L, Dong W, et al. Coupling effect of strain rate and specimen size on the compressive properties of coral aggregate concrete: a 3D mesoscopic study. Compos Part B Eng 2020;200:108299.
|
[82] |
Ledoux H. Computing the 3D voronoi diagram robustly: an easy explanation. In: Proceedings of the 4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007); 2007 Jul 9–11; Glamorgan, UK. New York: IEEE; 2007. p. 117–29.
|
[83] |
Catmull E, Clark J. Recursively generated B-spline surfaces on arbitrary topological meshes. Comput Aided Des 1978;10(6):350–5.
|
[84] |
Peng Y, Wu C, Li J, Liu J, Liang X. Mesoscale analysis on ultra-high performance steel fibre reinforced concrete slabs under contact explosions. Compos Struct 2019;228:111322.
|
[85] |
Abdallah S, Fan M, Rees DWA. Analysis and modelling of mechanical anchorage of 4D/5D hooked end steel fibres. Mater Des 2016;112:539–52.
|
[86] |
Zhou X, Hao H. Modelling of compressive behaviour of concrete-like materials at high strain rate. Int J Solids Struct 2008;45(17):4648–61.
|
[87] |
Zhou X, Kuznetsov VA, Hao H, Waschl J. Numerical prediction of concrete slab response to blast loading. Int J Impact Eng 2008;35(10):1186–200.
|
[88] |
Du X, Jin L, Ma G. Numerical simulation of dynamic tensile-failure of concrete at meso-scale. Int J Impact Eng 2014;66:5–17.
|
[89] |
Jin L, Yu W, Du X, Zhang S, Li D. Meso-scale modelling of the size effect on dynamic compressive failure of concrete under different strain rates. Int J Impact Eng 2019;125:139883056.
|
[90] |
Ma H, Wu Z, Yu H, Zhang J, Yue C. Experimental and three-dimensional mesoscopic investigation of coral aggregate concrete under dynamic splitting-tensile loading. Mater Struct 2020;53(1):12–22.
|
[91] |
Wu Z, Zhang J, Yu H, Fang Q, Chen L, Yue C. Experimental and mesoscopic investigation on the dynamic properties of coral aggregate concrete in compression. Sci China Technol Sci 2021;64(6):1153–66.
|
[92] |
Fang Q, Huan Y, Zhang Y, Chen L. Investigation into the static properties of damaged plasticity model for concrete in ABAQUS. J PLA Univ Sci Technol 2007;8(3):254–60. Chinese.
|
[93] |
Lu Y, Xu K. Modelling of concrete materials under blast loading. Int J Solids Struct 2004;41(1):131–43.
|
[94] |
Lu Y. Modelling of concrete structures subjected to shock and blast loading: an overview and some recent studies. Struct Eng Mech 2009;32(2):235–49.
|
[95] |
Guo R, Ren H, Zhang L, Long Z, Jiang X, Wu X, et al. Direct dynamic tensile study of concrete materials based on mesoscale model. Int J Impact Eng 2020;143:103598.
|
[96] |
Kim S, Abu Al-Rub RK. Meso-scale computational modeling of the plasticdamage response of cementitious composites. Cement Concr Res 2011;41 (3):339–58.
|
[97] |
Abdallah S, Fan M, Rees DW. Bonding mechanisms and strength of steel fiberreinforced cementitious composites: overview. J Mater Civ Eng 2018;30 (3):04018001.
|
[98] |
Nammur JG, Naaman AE. Bond stress model for fiber reinforced concrete based on bond stress-slip relationship. Mater J 1989;86(1):45–57.
|
[99] |
Zhang C, Shi C, Wu Z, Ouyang X, Li K. Numerical and analytical modeling of fiber-matrix bond behaviors of high performance cement composite. Cement Concr Res 2019;125:105892.
|
[100] |
Abdallah S, Fan M, Zhou X. Pullout behavior of hooked-end steel fibers embedded in ultra-high performance mortar with various W/B ratios. Int J Concr Struct Mater 2017;11(2):301–13.
|
[101] |
Tai YS, El-Tawil S. Computational investigation of twisted fiber pullout from ultra-high performance concrete. Constr Build Mater 2019;222:229–42.
|
[102] |
Breitenbücher R, Meschke G, Song F, Zhan Y. Experimental, analytical and numerical analysis of the pullout behaviour of steel fibres considering different fibre types, inclinations and concrete strengths. Struct Concr 2014;15(2):126–35.
|
[103] |
Soulioti DV, Barkoula NM, Koutsianopoulos F, Charalambakis N, Matikas TE. The effect of fibre chemical treatment on the steel fibre/cementitious matrix interface. Constr Build Mater 2013;40:77–83.
|
[104] |
Sugama T, Carciello N, Kukacka LE, Gray G. Interface between zinc phosphatedeposited steel fibres and cement paste. J Mater Sci 1992;27 (11):2863–72.
|
[105] |
Sun M, Wen DJ, Wang HW. Influence of corrosion on the interface between zinc phosphate steel fiber and cement. Mater Corros 2012;63(1):67–72.
|
[106] |
Pi Z, Xiao H, Liu R, Liu M, Li H. Effects of brass coating and nano-SiO2 coating on steel fibermatrix interfacial properties of cement-based composite. Compos Part B Eng 2020;189:107904.
|
[107] |
Cunha VMCF, Barros JAO, Sena-Cruz JM. Pullout behavior of steel fibers in selfcompacting concrete. J Mater Civ Eng 2010;22(1):1–9.
|
[108] |
Chanvillard G, Aïtcin PC. Pull-out behavior of corrugated steel fibers qualitative and statistical analysis. Adv Cement Base Mater 1996;4 (1):28–41.
|
[109] |
Robins P, Austin S, Jones P. Pull-out behaviour of hooked steel fibres. Mater Struct 2002;35(7):434–42.
|
[110] |
Gettu R, Gardner DR, Saldívar H, Barragán BE. Study of the distribution and orientation of fibers in SFRC specimens. Mater Struct 2005;38(1):31–7.
|
[111] |
Akkaya Y, Picka J, Shah SP. Spatial distribution of aligned short fibers in cement composites. J Mater Civ Eng 2000;12(3):272–9.
|
[112] |
Mandel J, Wei S, Said S. Studies of the properties of the fiber-matrix interface in steel fiber reinforced mortar. ACI Mater J 1987;84:101–9.
|
[113] |
Yoo DY, Je J, Choi HJ, Sukontasukkul P. Influence of embedment length on the pullout behavior of steel fibers from ultra-high-performance concrete. Mater Lett 2020;276:128233.
|
[114] |
Yoo DY, Kim S. Comparative pullout behavior of half-hooked and commercial steel fibers embedded in UHPC under static and impact loads. Cement Concr Compos 2019;97:89–106.
|
[115] |
Wille K, Naaman AE. Effect of ultra-high-performance concrete on pullout behavior of high-strength brass-coated straight steel fibers. ACI Mater J 2013;110(4):451–61.
|
[116] |
Xu M, Hallinan B, Wille K. Effect of loading rates on pullout behavior of high strength steel fibers embedded in ultra-high performance concrete. Cement Concr Compos 2016;70:98–109.
|
[117] |
Wille K, Naaman AE. Pullout behavior of high-strength steel fibers embedded in ultra-high-performance concrete. ACI Mater J 2012;109(4):479–87.
|
[118] |
Gray RJ, Johnston CD. The effect of matrix composition on fiber/matrix interfacial bond shear strength in fiber reinforced mortar. Cement Concr Res 1984;14(2):285–96.
|
[119] |
Shannag MJ, Brincker R, Hansen W. Pullout behavior of steel fibers from cement-based composites. Cement Concr Res 1997;27(6):925–36.
|
[120] |
Markovic I. High-performance hybrid-fiber concrete: development and utilization [dissertation]. Delft: Technische Universiteit Delft; 2006.
|
[121] |
Kim JJ, Kim DJ, Kang ST, Lee JH. Influence of sand to coarse aggregate ratio on the interfacial bond strength of steel fibers in concrete for nuclear power plant. Nucl Eng Des 2012;252:1–10.
|
[122] |
Park SH, Ryu GS, Koh KT, Kim DJ. Effect of shrinkage reducing agent on pullout resistance of high-strength steel fibers embedded in ultra-highperformance concrete. Cement Concr Compos 2014;49:59–69.
|
[123] |
Yoo DY, Park JJ, Kim SW. Fiber pullout behavior of HPFRCC: effects of matrix strength and fiber type. Compos Struct 2017;174:263–76.
|
[124] |
Banthia N, Yan C. Bond-slip characteristics of steel fibers in high reactivity metakaolin (HRM) modified cement-based matrices. Cement Concr Res 1996;26(5):657–62.
|
[125] |
Bindiganavile V, Banthia N. Polymer and steel fiber-reinforced cementitious composites under impact loading—part 1: bond–slip response. ACI Mater J 2001;98(1):10–6.
|
[126] |
Bindiganavile V, Banthia N. Polymer and steel fiber-reinforced cementitious composites under impact loading—part 2: flexural toughness. ACI Mater J 2001;98(1):17–24.
|
[127] |
Yoo DY, Banthia N. Impact resistance of fiber-reinforced concrete—a review. Cement Concr Compos 2019;104:103389.
|
[128] |
Banthia N, Trottier JF. Deformed steel fiber—cementitious matrix bond under impact. Cement Concr Res 1991;21(1):158–68.
|
[129] |
Wu Z, Shi C, Khayat KH. Influence of silica fume content on microstructure development and bond to steel fiber in ultra-high strength cement-based materials (UHSC). Cement Concr Compos 2016;71:97–109.
|
[130] |
Zhang T, Wu H, Fang Q, Huang T, Gong Z, Peng Y. UHP-SFRC panels subjected to aircraft engine impact: experiment and numerical simulation. Int J Impact Eng 2017;109:276–92.
|
[131] |
Lubliner J, Olivier J, Oller S, Oñate E. A plastic-damage model for concrete. Int J Solids Struct 1989;25(3):299–326.
|
[132] |
Lu Y, Song Z, Tu Z. Analysis of dynamic response of concrete using a mesoscale model incorporating 3D effects. Int J Prot Struct 2010;1 (2):197–217.
|
[133] |
Wu C, Li J, Su Y. Development of ultra-high performance concrete against blasts: from materials to structures. Duxford: Woodhead Publication; 2018.
|
[134] |
Yoo DY, Gohil U, Gries T, Yoon YS. Comparative low-velocity impact response of textile-reinforced concrete and steel-fiber-reinforced concrete beams. J Compos Mater 2016;50(17):2421–31.
|
[135] |
Suaris W, Shah SP. Strain-rate effects in fibre-reinforced concrete subjected to impact and impulsive loading. Composites 1982;13(2):153–9.
|
[136] |
Mindess S, Banthia NP, Ritter A, Skalny JP. Crack development in cementitious materials under impact loading. In: Mindess S, Shah SP, editors. MRS Online Proceedings of the Materials Research Society Symposium, Cement Based Composites: Strain Rate Effects on Fracture. Cambridge: Cambridge University Press; 1986. p. 217–23.
|
[137] |
Banthia N, Trottier JF. Deformed steel fiber-cementitious matrix bond under impact. Cement Concr Res 1991;21(1):158–68.
|
[138] |
Naaman AE, Gopalaratnam VS. Impact properties of steel fibre reinforced concrete in bending. Int J Cem Compos Lightweight Concr 1983;5 (4):225–33.
|
[139] |
Ong KCG, Basheerkhan M, Paramasivam P. Resistance of fibre concrete slabs to low velocity projectile impact. Cement Concr Compos 1999;21(5– 6):391–401.
|
[140] |
Wang HT, Wang LC. Experimental study on static and dynamic mechanical properties of steel fiber reinforced lightweight aggregate concrete. Constr Build Mater 2013;38:1146–51.
|
[141] |
Banthia N, Gupta P, Yan C. Impact resistance of fiber reinforced wet-mix shotcrete part I: beam tests. Mater Struct 1999;32(8):563–70.
|
[142] |
Gupta P, Banthia N, Yan C. Fiber reinforced wet-mix shotcrete under impact. J Mater Civ Eng 2000;12(1):81–90.
|
[143] |
Murali G, Santhi AS, Ganesh GM. Impact resistance and strength reliability of fiber reinforced concrete using two parameter Weibull distribution. ARPN J Eng Appl Sci 2014;9(4):554–9.
|
[144] |
Comite Euro-International Du Beton. CEB-FIP model code 1990: design code. London: ICE Publishing; 1993.
|
[145] |
Xu Z, Hao H, Li H. Experimental study of dynamic compressive properties of fibre reinforced concrete material with different fibres. Mater Des 2012;33:42–55.
|
[146] |
Grote DL, Park SW, Zhou M. Dynamic behavior of concrete at high strain rate and pressure: I. experimental characterization. Int J Impact Eng 2001;25 (9):869–86.
|
[147] |
Wang S, Zhang M, Quek ST. Mechanical behavior of fiber-reinforced highstrength concrete subjected to high strain-rate compressive loading. Constr Build Mater 2012;31:1–11.
|
[148] |
Gopalaratnam V, Shah S. Properties of steel fiber reinforced concrete subjected to impact loading. J Am Concr Inst 1986;83(1):117–26.
|
[149] |
Wang Z, Konietzky H, Huang R. Elastic-plastic-hydrodynamic analysis of crater blasting in steel fiber reinforced concrete. Theor Appl Fract Mech 2009;52(2):111–6.
|
[150] |
Wang Z, Liu Y, Shen R. Stress–strain relationship of steel fiber-reinforced concrete under dynamic compression. Constr Build Mater 2008;22 (5):811–9.
|
[151] |
Rong Z, Sun W, Zhang Y. Dynamic compression behavior of ultra-high performance cement based composites. Int J Impact Eng 2010;37(5):515–20.
|
[152] |
Hannant PJ. Fibre cements and fibre concretes. Report. New York: Wiley; 1978.
|
[153] |
Azmee NM, Shafiq N. Ultra-high performance concrete: from fundamental to applications. Case Stud Constr Mater 2018;9:e00197.
|
[154] |
Hao Y, Huang X, Hao H. Mesoscale modelling of concrete reinforced with spiral steel fibres under dynamic splitting tension. Adv Struct Eng 2018;21 (8):1197–210.
|
[155] |
Ngo T, Mendis P, Krauthammer T. Behavior of ultrahigh-strength prestressed concrete panels subjected to blast loading. J Struct Eng 2007;133 (11):1582–90.
|
[156] |
Yi NH, Kim JH, Han TS, Cho YG, Lee JH. Blast-resistant characteristics of ultrahigh strength concrete and reactive powder concrete. Constr Build Mater 2012;28(1):694–707.
|
[157] |
Aoude H, Dagenais FP, Burrell RP, Saatcioglu M. Behavior of ultra-high performance fiber reinforced concrete columns under blast loading. Int J Impact Eng 2015;80:185–202.
|
[158] |
Li Q, Meng H. Pressure-impulse diagram for blast loads based on dimensional analysis and single-degree-of-freedom model. J Eng Mech 2002;128 (1):87–92.
|
[159] |
Naito CJ, Wheaton KP. Blast assessment of load-bearing reinforced concrete shear walls. Pract Period Struct Des Constr 2006;11(2):112–21.
|
[160] |
Luccioni B, Isla F, Codina R, Ambrosini D, Zerbino R, Giaccio G, et al. Experimental and numerical analysis of blast response of high strength fiber reinforced concrete slabs. Eng Struct 2018;175:113–22.
|
[161] |
Gingold RA, Monaghan JJ. Smoothed particle hydrodynamics: theory and application to non-spherical stars. Mon Not R Astron Soc 1977;181 (3):375–89.
|
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