Numerical simulation of the behavior of steel fiber reinforced concrete using the phase field method combined with cohesive zone model
Email:
quannh_ktxd@utc.edu.vn
Keywords:
phase-field method, Steel Fiber Reinforced Concrete (SFRC), interface, debonding and fiber bridging
Abstract
Steel fiber-reinforced concrete is a special type of concrete in which steel fibers are randomly distributed within the concrete. Thanks to the presence of steel fibers, through mechanisms like debonding and fiber bridging, forces can still be transmitted within the concrete after cracks appear, thereby increasing its ductility and enhancing energy absorption capacity. The article aims to present a new simulation model that combines the phase field theory with the cohesive zone model to simulate the phenomena of debonding and crack bridging through steel fibers. In this method, cracks and interfacial transition zones are described by a scalar field ranging from 0 to 1. The jump displacement due to debonding in the interface is described through an additional displacement field. As a result, the behavior laws in the interface can be easily integrated into the model. The simulation results demonstrate the influence of the parameters of the interface on the propagation of cracks. At the same time, the simulation model allows for a visual description of the phenomena of debonding and crack bridging of steel fibers, thereby demonstrating the role of steel fibers in increasing the ductility of concrete. The simulation model also demonstrates the directional influence of steel fibers on the load-bearing capacity of the specimenReferences
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[2]. S.M. Islam, R.R. Hussain, Md.A.Z. Morshed, Fiber-reinforced concrete incorporating locally available natural fibers in normal- and high-strength concrete and a performance analysis with steel fiber-reinforced composite concrete, Journal of Composite Materials, 46 (2012) 111–122. https://doi.org/10.1177/0021998311410492
[3]. Y.M. Abbas, M.I Khan M, Fiber–Matrix Interactions in Fiber-Reinforced Concrete: A Review, Arab J Sci Eng 41 (2016) 1183–1198. https://doi.org/10.1007/s13369-016-2099-1
[4]. R.V. Balendran, F.P. Zhou, A. Nadeem, A.Y.T. Leung, Influence of steel fibres on strength and ductility of normal and lightweight high strength concrete, Building and Environment, 37 (2002) 1361–1367. https://doi.org/10.1016/S0360-1323(01)00109-3
[5]. M.R. Carvalho, J.A.O. Barros, Y. Zhang, D. Dias-da-Costa, A computational model for simulation of steel fibre reinforced concrete with explicit fibres and cracks, Computer Methods in Applied Mechanics and Engineering, 363 (2020) 112879. https://doi.org/10.1016/j.cma.2020.112879
[6]. L.A. Le, G.D. Nguyen, H.H. Bui, A.H. Sheikh, A. Kotousov, Incorporation of micro-cracking and fibre bridging mechanisms in constitutive modelling of fibre reinforced concrete, Journal of the Mechanics and Physics of Solids, 133 (2019) 103732. https://doi.org/10.1016/j.jmps.2019.103732
[7]. D. Fanella,D. Krajcinovic, Continuum Damage Mechanics of Fiber Reinforced Concrete, Journal of Engineering Mechanics, 111 (1985) 995–1009. https://doi.org/10.1061/(ASCE)0733-9399(1985)111:8(995)
[8]. X. Peng X, C. Meyer, A continuum damage mechanics model for concrete reinforced with randomly distributed short fibers, Computers & Structures, 78 (2000) 505–515. https://doi.org/10.1016/S0045-7949(00)00045-6
[9]. R. Hameed R, A. Sellier, A. Turatsinze, F. Duprat, Metallic fiber-reinforced concrete behaviour: Experiments and constitutive law for finite element modeling, Engineering Fracture Mechanics, 103 (2013) 124–131. https://doi.org/10.1016/j.engfracmech.2012.11.022
[10]. V.M.C.F Cunha, J.A.O Barros, J.M. Sena-Cruz, A finite element model with discrete embedded elements for fibre reinforced composites, Computers & Structures, 94-95 (2012) 22–33. https://doi.org/10.1016/j.compstruc.2011.12.005
[11]. A. Pros, P. Diez, C. Molins, Modeling steel fiber reinforced concrete: numerical immersed boundary approach and a phenomenological mesomodel for concrete‐fiber interaction, Numerical Meth Engineering, 90 (2012) 65–86. https://doi.org/10.1002/nme.3312
[12]. F. J. F. Radtke, A. Simone, L. J. Sluys, A computational model for failure analysis of fibre reinforced concrete with discrete treatment of fibres, Engineering Fracture Mechanics, 77 (2010) 597–620. https://doi.org/10.1016/j.engfracmech.2009.11.014
[13]. Li. G, B.B. Yin, L.W. Zhang, K.M. Liew, A framework for phase-field modeling of interfacial debonding and frictional slipping in heterogeneous composites, Computer Methods in Applied Mechanics and Engineering, 382 (2021) 113872. https://doi.org/10.1016/j.cma.2021.113872
[14]. W. Tan W, E. Martínez-Pañeda, Phase field fracture predictions of microscopic bridging behaviour of composite materials, Composite Structures, 286 (2022) 115242. https://doi.org/10.1016/j.compstruct.2022.115242
[15]. Verhoosel CV, Verhoosel CV, De Borst R, A phase-field model for cohesive fracture: a phase-field model for cohesive fracture, International Journal for Numerical Methods in Engineering, 96 (2013) 43–62. https://doi.org/10.1002/nme.4553
[16]. T.T. Nguyen, J. Yvonnet, Q.-Z. Zhu, M. Bornert, C. Chateau, A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography, Computer Methods in Applied Mechanics and Engineering, 312 (2016) 567–595. https://doi.org/10.1016/j.cma.2015.10.007
[17]. Lê Gia Khuyến, Nguyễn Hoàng Quân, Trần Bảo Việt, Mô hình mặt tiếp xúc không hoàn hảo trong bê tông cốt sợi: Bài toán một chiều, Tạp chí khoa học GTVT, 74 (2023) 1063-1074. https://doi.org/10.47869/tcsj.74.9.4
[18]. M. Pise, D. Brands, G. Gebuhr, M. Sarhil, J. Schröder, S. Anders, Elasto‐plastic phase‐field model for pullout tests of steel fiber embedded in high‐performance concrete: numerical calibration and experimental validation, Proc Appl Math and Mech, 201919 (2019) e201900255. https://doi.org/10.1002/pamm.201900255.
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Received
01/05/2024
Revised
30/05/2024
Accepted
11/06/2024
Published
15/06/2024
Type
Research Article
How to Cite
Lê Gia, K., Nguyễn Hoàng, Q., & Trần Bảo, V. (4400). Numerical simulation of the behavior of steel fiber reinforced concrete using the phase field method combined with cohesive zone model. Transport and Communications Science Journal, 75(5), 1909-1922. https://doi.org/10.47869/tcsj.75.5.16
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