Technical Papers
Feb 28, 2022

Micromechanics of Fiber–Concrete Interaction: Numerical Modeling and Experimental Validation

Publication: Journal of Engineering Mechanics
Volume 148, Issue 5

Abstract

To simulate the behavior of fiber-reinforced concrete, an accurate modeling of the concrete and fiber phases as well as the fiber–concrete interaction is required. This study proposes a new model to account for fiber-matrix interactions based on micromechanics. The concrete matrix is simulated using the lattice discrete particle model (LDPM), a mesoscale model for heterogeneous materials. The fiber is explicitly represented using elastoplastic beam elements. The fiber–concrete interaction algorithm features a slideline model and a constitutive model to describe the bond-slip relation. The slideline model includes a tie algorithm for interactions between concrete and slideline, and a penalty constraint between the slideline and the fiber. The proposed model is examined by simulating different types of fiber pullout tests. These simulations examine the model validity in capturing the fiber–concrete interaction both in the direction orthogonal to the fiber and in the direction of pullout. Also, the proposed model is calibrated and validated by comparing numerical simulations with experimental data from the literature, including fiber pullout under confinement, pullout of hooked fiber, and pullout of inclined fiber that leads to matrix spalling. The good agreement between the simulation results and the experimental data in terms of force versus displacement curve demonstrates the effectiveness of the proposed approach in simulating fiber–concrete interaction. In addition, using the proposed model, the contributions from different toughening mechanisms can be quantitatively compared.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request. Available data are input and output files in text format and visualization toolkit (VTK) format files for the graphical output.

Acknowledgments

This effort was partially sponsored by the US Army Engineer Research and Development Center (ERDC) via Engineering and Software System Solutions, Inc. The numerical simulations were performed with the mars software before January 2020.

References

Abu-Lebdeh, T., S. Hamoush, W. Heard, and B. Zornig. 2011. “Effect of matrix strength on pullout behavior of steel fiber reinforced very-high strength concrete composites.” Constr. Build. Mater. 25 (1): 39–46. https://doi.org/10.1016/j.conbuildmat.2010.06.059.
Balaguru, P. N., and S. P. Shah. 1992. Fiber-reinforced cement composites. New York: McGraw-Hill.
Bartos, P. 1981. “Bond in fibre reinforced cements and concretes.” Int. J. Cem. Compos. Lightweight Concr. 3 (3): 159–177. https://doi.org/10.1016/0262-5075(81)90049-X.
Bažant, Z. P., and L. Cedolin. 1980. “Fracture mechanics of reinforced concrete.” J. Eng. Mech. Div. 106 (6): 1287–1306. https://doi.org/10.1061/JMCEA3.0002665.
Beghini, A., Z. P. Bažant, Y. Zhou, O. Gouirand, and F. C. Caner. 2007. “Microplane model m5f for multiaxial behavior and fracture of fiber-reinforced concrete.” J. Eng. Mech. 133 (1): 66–75. https://doi.org/10.1061/(ASCE)0733-9399(2007)133:1(66).
Belheine, N., J.-P. Plassiard, F.-V. Donzé, F. Darve, and A. Seridi. 2009. “Numerical simulation of drained triaxial test using 3D discrete element modeling.” Comput. Geotech. 36 (1–2): 320–331. https://doi.org/10.1016/j.compgeo.2008.02.003.
Bentur, A., and S. Mindess. 2006. Fibre reinforced cementitious composites. Boca Raton, FL: CRC Press.
Bolander, J., Jr., and S. Saito. 1997. “Discrete modeling of short-fiber reinforcement in cementitious composites.” Adv. Cem. Based Mater. 6 (3): 76–86. https://doi.org/10.1016/S1065-7355(97)90014-6.
Bolander, J., and S. Saito. 1998. “Fracture analyses using spring networks with random geometry.” Eng. Fract. Mech. 61 (5–6): 569–591. https://doi.org/10.1016/S0013-7944(98)00069-1.
Bolander, J. E., S. Choi, and S. R. Duddukuri. 2008. “Fracture of fiber-reinforced cement composites: Effects of fiber dispersion.” Int. J. Fract. 154 (1–2): 73–86. https://doi.org/10.1007/s10704-008-9269-4.
Ceccato, C., M. Salviato, C. Pellegrino, and G. Cusatis. 2017. “Simulation of concrete failure and fiber reinforced polymer fracture in confined columns with different cross sectional shape.” Int. J. Solids Struct. 108 (Mar): 216–229. https://doi.org/10.1016/j.ijsolstr.2016.12.017.
Cedolin, L., and Z. P. Bažant. 1980. “Effect of finite element choice in blunt crack band analysis.” Comput. Methods Appl. Mech. Eng. 24 (3): 305–316. https://doi.org/10.1016/0045-7825(80)90067-5.
Chan, H., Y. Cheung, and Y. Huang. 1992. “Crack analysis of reinforced concrete tension members.” J. Struct. Eng. 118 (8): 2118–2132. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:8(2118).
Cusatis, G., Z. P. Bažant, and L. Cedolin. 2003. “Confinement-shear lattice model for concrete damage in tension and compression: II. Computation and validation.” J. Eng. Mech. 129 (12): 1449. https://doi.org/10.1061/(ASCE)0733-9399(2003)129:12(1449).
Cusatis, G., A. Mencarelli, D. Pelessone, and J. Baylot. 2011a. “Lattice discrete particle model (LDPM) for failure behavior of concrete. II: Calibration and validation.” Cem. Concr. Compos. 33 (9): 891–905. https://doi.org/10.1016/j.cemconcomp.2011.02.010.
Cusatis, G., and H. Nakamura. 2011. “Discrete modeling of concrete materials and structures.” Cem. Concr. Compos. 33 (9): 865–866. https://doi.org/10.1016/j.cemconcomp.2011.08.011.
Cusatis, G., D. Pelessone, and A. Mencarelli. 2011b. “Lattice discrete particle model (ldpm) for failure behavior of concrete. I: Theory.” Cem. Concr. Compos. 33 (9): 881–890. https://doi.org/10.1016/j.cemconcomp.2011.02.011.
Cusatis, G., R. Rezakhani, and E. A. Schauffert. 2017. “Discontinuous cell method (dcm) for the simulation of cohesive fracture and fragmentation of continuous media.” Eng. Fract. Mech. 170 (Feb): 1–22. https://doi.org/10.1016/j.engfracmech.2016.11.026.
Cusatis, G., and X. Zhou. 2013. “High-order microplane theory for quasi-brittle materials with multiple characteristic lengths.” J. Eng. Mech. 140 (7): 04014046. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000747.
Fanella, D., and D. Krajcinovic. 1985. “Continuum damage mechanics of fiber reinforced concrete.” J. Eng. Mech. 111 (8): 995–1009. https://doi.org/10.1061/(ASCE)0733-9399(1985)111:8(995).
Georgiadi-Stefanidi, K., E. Mistakidis, D. Pantousa, and M. Zygomalas. 2010. “Numerical modelling of the pull-out of hooked steel fibres from high-strength cementitious matrix, supplemented by experimental results.” Constr. Build. Mater. 24 (12): 2489–2506. https://doi.org/10.1016/j.conbuildmat.2010.06.007.
Gere, J. M., and S. Timoshenko. 1984. Mechanics of materials. 2nd ed. Monterey, CA: Brooks/Cole.
Hutchinson, J. W., and H. M. Jensen. 1990. “Models of fiber debonding and pullout in brittle composites with friction.” Mech. Mater. 9 (2): 139–163. https://doi.org/10.1016/0167-6636(90)90037-G.
Jin, C., N. Buratti, M. Stacchini, M. Savoia, and G. Cusatis. 2016. “Lattice discrete particle modeling of fiber reinforced concrete: Experiments and simulations.” Eur. J. Mech. A. Solids 57 (May): 85–107. https://doi.org/10.1016/j.euromechsol.2015.12.002.
Kabele, P. 2007. “Multiscale framework for modeling of fracture in high performance fiber reinforced cementitious composites.” Eng. Fract. Mech. 74 (1): 194–209. https://doi.org/10.1016/j.engfracmech.2006.01.020.
Kanda, T., and V. C. Li. 1998. “Interface property and apparent strength of high-strength hydrophilic fiber in cement matrix.” J. Mater. Civ. Eng. 10 (1): 5–13. https://doi.org/10.1061/(ASCE)0899-1561(1998)10:1(5).
Kang, J., K. Kim, Y. M. Lim, and J. E. Bolander. 2014. “Modeling of fiber-reinforced cement composites: Discrete representation of fiber pullout.” Int. J. Solids Struct. 51 (10): 1970–1979. https://doi.org/10.1016/j.ijsolstr.2014.02.006.
Lale, E., X. Zhou, and G. Cusatis. 2017. “Isogeometric implementation of high-order microplane model for the simulation of high-order elasticity, softening, and localization.” J. Appl. Mech. 84 (1): 011005. https://doi.org/10.1115/1.4034784.
Landis, E. N., R. Kravchuk, and D. Loshkov. 2019. “Experimental investigations of internal energy dissipation during fracture of fiber-reinforced ultra-high-performance concrete.” Front. Struct. Civ. Eng. 13 (1): 190–200. https://doi.org/10.1007/s11709-018-0487-1.
Leung, C. K., and Y. Geng. 1995. “Effect of lateral stresses on fiber debonding/pull-out.” Compos. Eng. 5 (10): 1331–1348. https://doi.org/10.1016/0961-9526(95)00064-T.
Leung, C. K., and N. Shapiro. 1999. “Optimal steel fiber strength for reinforcement of cementitious materials.” J. Mater. Civ. Eng. 11 (2): 116–123. https://doi.org/10.1061/(ASCE)0899-1561(1999)11:2(116).
Li, F., and Z. Li. 2000. “Continuum damage mechanics based modeling of fiber reinforced concrete in tension.” Int. J. Solids Struct. 38 (5): 777–793. https://doi.org/10.1016/S0020-7683(00)00034-2.
Li, V. C., Y. Wang, and S. Backer. 1990. “Effect of inclining angle, bundling and surface treatment on synthetic fibre pull-out from a cement matrix.” Composites 21 (2): 132–140. https://doi.org/10.1016/0010-4361(90)90005-H.
Li, Z., M. A. P. Lara, and J. Bolander. 2006. “Restraining effects of fibers during non-uniform drying of cement composites.” Cem. Concr. Res. 36 (9): 1643–1652. https://doi.org/10.1016/j.cemconres.2006.04.001.
Liang, C., and J. Hutchinson. 1993. “Mechanics of the fiber pushout test.” Mech. Mater. 14 (3): 207–221. https://doi.org/10.1016/0167-6636(93)90067-2.
Lin, G., P. Geubelle, and N. Sottos. 2001. “Simulation of fiber debonding with friction in a model composite pushout test.” Int. J. Solids Struct. 38 (46): 8547–8562. https://doi.org/10.1016/S0020-7683(01)00085-3.
Lin, Z., T. Kanda, and V. C. Li. 1999. “On interface property characterization and performance of fiber reinforced cementitious composites.” Concr. Sci. Eng. 1 (3): 173–184.
Lin, Z., and V. C. Li. 1997. “Crack bridging in fiber reinforced cementitious composites with slip-hardening interfaces.” J. Mech. Phys. Solids 45 (5): 763–787. https://doi.org/10.1016/S0022-5096(96)00095-6.
McSwain, A. C., K. A. Berube, G. Cusatis, and E. N. Landis. 2018. “Confinement effects on fiber pullout forces for ultra-high-performance concrete.” Cem. Concr. Compos. 91 (Aug): 53–58. https://doi.org/10.1016/j.cemconcomp.2018.04.011.
Mobasher, B., and C. Y. Li. 1995. “Modeling of stiffness degradation of the interfacial zone during fiber debonding.” Compos. Eng. 5 (10): 1349–1365. https://doi.org/10.1016/0961-9526(95)00056-S.
Naaman, A. E., and C. Sujivorakul. 2001. “Pull-out mechanisms of twisted steel fibers embedded in concrete.” In Proc., Int. Conf. on Applications of Shotcrete, 197–203. Boca Raton, FL: CRC Press.
Naaman, A. E., G. G. Namur, J. M. Alwan, and H. S. Najm. 1991. “Fiber pullout and bond slip. I: Analytical study.” J. Struct. Eng. 117 (9): 2769–2790. https://doi.org/10.1061/(ASCE)0733-9445(1991)117:9(2769).
Peng, X., and C. Meyer. 2000. “A continuum damage mechanics model for concrete reinforced with randomly distributed short fibers.” Comput. Struct. 78 (4): 505–515. https://doi.org/10.1016/S0045-7949(00)00045-6.
Radtke, F., A. Simone, and L. Sluys. 2010. “A computational model for failure analysis of fibre reinforced concrete with discrete treatment of fibres.” Eng. Fract. Mech. 77 (4): 597–620. https://doi.org/10.1016/j.engfracmech.2009.11.014.
Rezakhani, R., X. Zhou, and G. Cusatis. 2017. “Adaptive multiscale homogenization of the lattice discrete particle model for the analysis of damage and fracture in concrete.” Int. J. Solids Struct. 125 (Oct): 50–67. https://doi.org/10.1016/j.ijsolstr.2017.07.016.
Roth, M. J., T. S. Rushing, O. G. Flores, D. K. Sham, and J. W. Stevens. 2010. Laboratory investigation of the characterization of cor-tuf flexural and splitting tensile properties. ERDC/GSL TR; 10-46. Vicksburg, MS: Geotechnical and Structures Laboratory.
Schauffert, E. A., and G. Cusatis. 2011. “Lattice discrete particle model for fiber-reinforced concrete. I: Theory.” J. Eng. Mech. 138 (7): 826–833. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000387.
Schauffert, E. A., G. Cusatis, D. Pelessone, J. L. O’Daniel, and J. T. Baylot. 2011. “Lattice discrete particle model for fiber-reinforced concrete. II: Tensile fracture and multiaxial loading behavior.” J. Eng. Mech. 138 (7): 834–841. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000392.
Schlangen, E., and J. van Mier. 1992. “Simple lattice model for numerical simulation of fracture of concrete materials and structures.” Mater. Struct. 25 (9): 534–542. https://doi.org/10.1007/BF02472449.
Smith, J., G. Cusatis, D. Pelessone, E. Landis, J. O’Daniel, and J. Baylot. 2014. “Discrete modeling of ultra-high-performance concrete with application to projectile penetration.” Int. J. Impact Eng. 65 (Mar): 13–32. https://doi.org/10.1016/j.ijimpeng.2013.10.008.
Sujivorakul, C., A. Waas, and A. Naaman. 2000. “Pullout response of a smooth fiber with an end anchorage.” J. Eng. Mech. 126 (9): 986–993. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:9(986).
Trainor, K. J., B. W. Foust, and E. N. Landis. 2013. “Measurement of energy dissipation mechanisms in fracture of fiber-reinforced ultrahigh-strength cement-based composites.” J. Eng. Mech. 139 (7): 771–779. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000545.
Tsai, J., A. Patra, and R. Wetherhold. 2005. “Finite element simulation of shaped ductile fiber pullout using a mixed cohesive zone/friction interface model.” Composites, Part A 36 (6): 827–838. https://doi.org/10.1016/j.compositesa.2004.10.025.
Vanalli, L., R. Paccola, and H. Coda. 2008. “A simple way to introduce fibers into fem models.” Commun. Numer. Methods Eng. 24 (7): 585–603. https://doi.org/10.1002/cnm.983.
Williams, E. M., S. S. Graham, P. A. Reed, and T. S. Rushing. 2009. Laboratory characterization of cor-tuf concrete with and without steel fibers. Vicksburg, MS: US Army Engineer Research and Development Center.
Yang, E.-H., S. Wang, Y. Yang, and V. C. Li. 2008. “Fiber-bridging constitutive law of engineered cementitious composites.” J. Adv. Concr. Technol. 6 (1): 181–193. https://doi.org/10.3151/jact.6.181.
Zle, E., and O. Zle. 2013. “Effect of the fiber geometry on the pullout response of mechanically deformed steel fibers.” Cem. Concr. Res. 44 (Feb): 18–24. https://doi.org/10.1016/j.cemconres.2012.10.014.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 148Issue 5May 2022

History

Received: Sep 18, 2021
Accepted: Dec 28, 2021
Published online: Feb 28, 2022
Published in print: May 1, 2022
Discussion open until: Jul 28, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Chenyang Li [email protected]
Dept. of Civil and Environmental Engineering, Northwestern Univ., Evanston, IL 60208. Email: [email protected]
Xinwei Zhou [email protected]
Independent Researcher, Irvine, CA 92602. Email: [email protected]
Professor, Dept. of Civil and Environmental Engineering, Northwestern Univ., Evanston, IL 60208 (corresponding author). ORCID: https://orcid.org/0000-0001-7436-3910. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share