The Elastic Modulus of Steel Fiber Reinforced Concrete (SFRC) with Random Distribution of Aggregate and Fiber

Ahmad, H.A. and Lagoudas, C.L. (1991). “Effective elastic properties of fiber-reinforced concrete with random fibers”, Journal of Engineering Mechanics, 117(12), 2931-2938.

Bernardi, P., Cerioni, R. and Michelini, E. (2013). “Analysis of post-cracking stage in SFRC elements through a non-linear numerical approach”, Engineering Fracture Mechanics, 108, 238-250.

Comby-Peyrot, I., Bernard, F., Bouchard, P., Bay, F. and Garcia-Diaz, E. (2009). “Development and validation of a 3D computational tool to describe concrete behavior at meso-scale; application to the alkali-silica reaction”, Computational Material Science, 46, 1163-1177.

Cox, H.L. (1952). “The elasticity and strength of paper and other fibrous materials”, British Journal of Applied Physics, 3(3), 72-79.

Ding, Y. (2011). “Investigations into the relationship between deflection and crack mouth opening displacement of SFRC beam”, Construction and Building Materials, 25(5), 2432-2440.

Gal, E. and Kryvoruk, R. (2011). “Fiber reinforced concrete properties; a multiscale approach”, Computers and Structures, 8(5), 525-539.

Grassl, P., Gregoire, D., Solano, L.R. and Pijaudier-Cobat, G. (2012). “Meso-scale modeling of the size effect on fracture process zone of concrete”, International Journal of Solids and Structures, 49(13), 1818-1827.

Grassl, P. and Jirasek, M. (2010). “Meso-scale approach to modeling the fracture process zone of concrete subjected to uniaxial tension”, International Journal of Solids and Structures, 47(13), 957-968.

Grassl, P. and Rempling, R. (2008). “A damage-plasticity interface approach to the meso-scale modeling of concrete subjected to cyclic compressive loading”, Engineering Fracture Mechanics, 75(16), 4804-4818.

Hao, Y.F., Hao, H. and Li, Z.X. (2009). “Numerical analysis of lateral inertial confinement effects on impact test of concrete compressive material properties”, International Journal of Protective Structures, 1(1), 143-145.

Hill, R. (1965). “A self-consistent mechanics of composite materials”, Journal of Mechanics and Physics of Solids, 13(4), 213-222.

Huang, Y., Yang, Z., Ren, W., Liu, G. and Zhang, C. (2015). “3D meso-scale fracture modeling and validation of concrete based on in-situ X-ray Computed Tomography images using damage plasticity model”, International Journal of Solids and Structures, 67-68, 340-352.

Hull, D. (1981). An introduction to composite materials, Cambridge University Press, London.

Hung, L.T., Dormieux, L., Jeannin, L., Burlion, N. and Barthélémy, J.F. (2008). “Nonlinear behavior of matrix-inclusion composites under high confining pressure: application to concrete and mortar”, Comptes Rendus Mecanique, 336(8), 670-676.

Islam, M., Khatun, S., Islam, R., Dola, J.F., Hussan, M. and Siddique, A. (2014). “Finite Element analysis of Steel Fiber Reinforced Concrete (SFRC): Validation of experimental shear capacities of beams”, Procedia Engineering, 90, 89-95.

Jing, Li., Lin-fu, W., Lin, J., Juan, L. and Hu, L. (2011). “Numerical simulation of uniaxial compression performance of big recycled aggregate-filled concrete”, Electric Technology and Civil Engineering (ICETCE) International Conference, 1367-1370.

Kim, S.M. and Abu Al-Rub, R.K. (2010). “Meso-scale computational modeling of the plastic-damage response of cementitious composites”, Cement and Concrete Research, 41(3), 339-358.

Mori, T. and Tanaka, K. (1973). “Average stress in matrix and average energy of materials with misfitting inclusions”, Acta Metallurgica, 21, 571-574.

Nguyen, T.T.H., Bary, B. and Larrard, T. (2015). “Coupled carbonation-rust formation-damage modeling and simulation of steel corrosion in 3D mesoscale reinforced concrete”, Cement and Concrete Research, 74, 95-107.

Özcan, D. M., Bayraktar, A., Sahin, A., Haktanir, T. and Tüker, T. (2009). “Experimental and Finite Element analysis on the steel fiber-reinforced concrete (SFRC) beams ultimate behavior”, Construction and Building Materials, 23(2), 1064-1077.

Qin, C. and Zhang, C. (2011). “Numerical study of dynamic behavior of concrete by meso-scale particle element modeling”, International Journal of Impact Engineering, 38(12), 1011-1021.

Rashid-Dadash, P. and Ramezanianpour, A.A. (2014). “Hybrid fiber reinforced concrete containing pumice and metakaolin”, Civil Engineering Infrastructures Journal (CEIJ), 47(2), 229-238.

Rizzuti, L. (2014). “Effects of fibre volume fraction on the compressive and flexural experimental behaviour of SFRC”, Contemporary Engineering Sciences, 7(8), 379-390.

Roubin, E., Colliat, J. and Benkemoun, N. (2015). “Meso-scale modeling of concrete: A morphological description based on excursion sets of random fields”, Computational Materials Science, 102, 183-195.

Salehian, H., Barros, J.A.O. and Taheri, M. (2014). “Evaluation of the influence of post-cracking response of steel fiber reinforced concrete (SFRC) on load carrying capacity of SFRC panels”, Construction and Building Materials, 73, 289-304.

Shahabeyk, S., Hosseini, M. and Yaghoobi, M. (2011). “Meso-scale Finite Element prediction of concrete failure”, Computational Materials Science, 50(7), 1973-1990.

Skarzynski, L. and Tejchman, J. (2010). “Calculations of fracture process zones on meso-scale in notched concrete beams subjected to three-point bending”, European Journal of Mechanics, 29(4), 746-760.

Smilauer, V. and Bazant, Z. (2010). “Identification of viscoelastic C-S-H behavior in mature cement paste by FFT-based homogenization method”, Cement and Concrete Research, 40(2), 197-207.

Smilauer, V. and Krejci, T. (2009). “Multiscale model for temperature distribution in hydrating concrete”, International Journal for Multiscale Computational Engineering, 7(2), 135-151.

Sun, B., Wang, X. and Li, Z. (2015). “Meso-scale image-based modeling of reinforced concrete and adaptive multi-scale analyses on damage evolution in concrete structures”, Computational Materials Science, 110, 39-53.

Tailhan, J.L., Rossi, P. and Daviau-Desnoyers, D. (2015). “Probabilistic numerical modeling of cracking in steel fiber reinforced concretes”, Cement and Concrete Composites, 55, 315-321.

Teng, T.L., Chu, Y.A., Chang, F.A., Shen, B.C. and Cheng, D.S. (2007). “Development and validation of numerical model of steel fiber reinforced concrete for high-velocity impact”, Computational Materials Science, 42(1), 90-99.

Teng, T.L., Chu, Y.A., Chang, F.A. and Chin, H.S. (2004). “Calculating the elastic moduli of steel-fiber reinforced concrete using a dedicated empirical formula”, Computational Materials Science, 31(3-4), 337-346. 

Titscher, T. and Unger, J.F. (2015). “Application of molecular dynamics simulations for the generation of dense concrete meso-scale”, Computers & Structures, 158, 274-284.

Ulm, F.J. and Jennings, H.M. (2008). “Does C-S-H particle shape matter? A discussion of the paper ‘Modelling elasticity of a hydrating cement paste’, by Julien Sanahuja, Luc Dormieux and Gilles Chanvillard, CCR 37 (2007) 1427-1439”, Cement and Concrete Research, 38(8), 1126-1129.

Wang, X., Yang, Z. and Jivkov, A.P. (2015). “Monte Carlo simulations of mesoscale fracture of concrete with random aggregate and pores: a size effect study”, Construction and Building Materials, 80, 262-272.

Wang, Z.L., Shi, Z.M. and Wang, J.G. (2011). “Analysis of post-cracking stage in SFRC elements through a non-linear numerical approach”, Engineering Fracture Mechanics, 108, 238-250.

Wang, Z.L., Konietzky, H. and Huang, R.Y. (2009). “Elastic-plastic-hydrodynamic analysis of crater blasting in steel fiber reinforced concrete”, Theoretical and Applied Fracture Mechanics, 52(2), 111-116.

Wang, Z.M., Kwan, A.K.H. and Chan, H.C. (1999). “Mesoscopic study of concrete I: Generation of random aggregate structure and Finite Element mesh”, Computers and Structures, 70(5), 533-544.

Williamson, G.R. (1974). “The effect of steel fibers on the compressive strength of concrete”, ACI Jouranl, 44, 195-208.

Wriggers, P. and Moftah, S.O. (2006). “Meso-scale models for concrete: homogenization and damage behavior”, Finite Elements in Analysis and Design, 42(7), 623-636.

Wu, M., Chen, Z. and Zhang C. (2015). “Determining the impact behavior of concrete beams through experimental testing and meso-scale simulation: I. Drop-weight tests”, Engineering Fracture Mechanics, 135, 94-112.

Xu, Z., Hao, H. and Li, H.N. (2012a). “Meso-scale modeling of dynamic tensile behavior of fiber reinforced concrete with spiral fiber”, Cement and Concrete Research, 42(11), 1475-1493.

Xu, Z., Hao, H. and Li, H.N. (2012b). “Meso-scale modeling of fiber reinforced concrete material under compressive impact loading”, Construction and Building Materials, 26(1), 274-288.

Yazici, S., Arel, H.S. and Tabak, V. (2013). “The effects of impact loading on the mechanical properties of the SFRCs”, Construction and Building Materials, 41, 68-72.

Zaitsev, Y.B. and Wittmann, F.H. (1981). “Simulation of crack propagation and failure of concrete”, Materials and Structures, 14(2), 357-365.

Zhang, J. (2013). “Three-dimensional modelling of steel fiber reinforced concrete material under intense dynamic loading”, Construction and Building Materials, 44, 118-132.

Zheng, J.J., Li, C.Q. and Zhou, X.Z. (2005) “Thickness of interfacial transition zone and cement content profiles between aggregates”, Magazine of Concrete Research, 57(7), 397-406.

Zhou, X.Q. and Hao, H. (2009). “Mesoscale modeling and analysis of damage and fragmentation of concrete slab under contact detonation”, International Journal of Impact Engineering, 36(12), 1315-1326.

Zhou, X.Q. and Hao, H. (2008a). “Meso-scale modeling of concrete tensile failure mechanism at high strain rates”, Computers & Structures, 86(21-22), 2013-2026.

Zhou, X.Q. and Hao, H. (2008b). “Modeling of compressive behavior of concrete-like materials at high strain rate”, International Journal of Solids and Structures, 45(17), 4648-4661.