Technical Papers
Jun 25, 2021

Coupled Experimental and Computational Investigation of the Interplay between Discrete and Continuous Reinforcement in Ultrahigh Performance Concrete Beams. II: Mesoscale Modeling

Publication: Journal of Engineering Mechanics
Volume 147, Issue 9

Abstract

The first experimental campaign presented in the preceding Part I of this study is used to calibrate and validate a comprehensive computational framework called the lattice discrete particle model for fiber-reinforced concrete (LDPM-F). The model is then used to design the second experimental campaign that was also presented in the preceding Part I so that all beams fail in shear. Finally, the model is used to investigate and explain the observed failure modes, validate the fiber/reinforcement interplay effects postulated in Part I, and to analyze comprehensively the load-transfer mechanisms in the reinforced ultra-high performance concrete (R-UHPC) beams in both shear and flexural failure. This two-part study proves the effectiveness of coupling experimental analysis with comprehensive computational modeling to understand the behavior of structural members made from complex materials. Using this coupled understanding, detailed explanations of load-transfer mechanisms in shallow and deep beam shear failure as well as flexural failure are discussed and compared to simplified sectional analysis models showing the places of needed improvement in such models. These detailed discussions show the ability of the presented coupled approach to accurately predict these failure mechanisms and their dependence on fiber/reinforcement contents and their interplay. The presented accurate probing of different load-transfer mechanisms within the structural elements and how they vary during failure progression paves the road towards developing rigorous design formulations based on fundamental understanding of the complex mechanical behavior of these structural members.

Get full access to this article

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

Data Availability Statement

All simulation data presented and the corresponding model input files that were used to generate them in this study are available from the corresponding author upon reasonable request.

Acknowledgments

The authors would like to acknowledge the support from the Rensselaer Polytechnic Institute Center for Computational Innovations (CCI) to run the simulations in this paper using the High performance computing cluster.

References

Abdellatef, M., and M. Alnaggar. 2020. “Energy-based coarse graining of the lattice-discrete particle model.” J. Eng. Mech. 146 (5): 04020026. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001743.
Abdellatef, M., M. Alnaggar, G. Boumakis, G. Cusatis, G. Di-Luzio, and R. Wendner. 2015. “Lattice discrete particle modeling for coupled concrete creep and shrinkage using the solidification microprestress theory.” In Proc., CONCREEP 10, 184–193. Reston, VA: ASCE.
Alnaggar, M. 2014. “Multiscale modeling of aging and deterioration of reinforced concrete structures.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Northwestern Univ.
Alnaggar, M., and N. Bhanot. 2018. “A machine learning approach for the identification of the lattice discrete particle model parameters.” Eng. Fract. Mech. 197 (Jun): 160–175. https://doi.org/10.1016/j.engfracmech.2018.04.041.
Alnaggar, M., and G. Cusatis. 2012. “Automatic parameter identification of discrete mesoscale models with application to the coarse-grained simulation of reinforced concrete structures.” In Proc., 20th Analysis and Computation Specialty Conf., 406–417. Reston, VA: ASCE.
Alnaggar, M., G. Cusatis, and G. Di-Luzio. 2013. “Lattice discrete particle modeling (LDPM) of alkali silica reaction (ASR) deterioration of concrete structures.” Cem. Concr. Compos. 41 (Aug): 45–59. https://doi.org/10.1016/j.cemconcomp.2013.04.015.
Alnaggar, M., G. Cusatis, J. Qu, and M. Liu. 2014. Simulating acoustic nonlinearity change in accelerated mortar bar tests: A discrete meso-scale approach, 451–458. Boca Raton, FL: CRC Press.
Alnaggar, M., G. Di Luzio, and G. Cusatis. 2017. “Modeling time-dependent behavior of concrete affected by alkali silica reaction in variable environmental conditions.” Materials (Basel) 10 (5): 471. https://doi.org/10.3390/ma10050471.
Alnaggar, M., D. Pelessone, and G. Cusatis. 2016. “Lattice discrete particle modeling (LDPM) of flexural size effect in over reinforced concrete beams.” In Proc., 9th Int. Conf. on Fracture Mechanics of Concrete and Concrete Structures FraMCoS-9. Evanston, IL: International Association of Fracture Mechanics for Concrete and Concrete Structures.
Alnaggar, M., D. Pelessone, and G. Cusatis. 2018. “Lattice discrete particle modeling of reinforced concrete flexural behavior.” J. Struct. Eng. 145 (1): 04018231. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002230.
Bazant, Z. P., and J. Planas. 1997. Vol. 16 of Fracture and size effect in concrete and other quasibrittle materials. Boca Raton, FL: CRC Press.
Bažant, Z. P., and E. Becq-Giraudon. 2002. “Statistical prediction of fracture parameters of concrete and implications for choice of testing standard.” Cem. Concr. Res. 32 (4): 529–556. https://doi.org/10.1016/S0008-8846(01)00723-2.
Bažant, Z. P., and G. Di Luzio. 2004. “Nonlocal microplane model with strain-softening yield limits.” Int. J. Solids Struct. 41 (24–25): 7209–7240. https://doi.org/10.1016/j.ijsolstr.2004.05.065.
Bažant, Z. P., and B. H. Oh. 1983a. “Crack band theory for fracture of concrete.” Matériaux Constr. 16 (3): 155–177. https://doi.org/10.1007/BF02486267.
Bažant, Z. P., and B. H. Oh. 1983b. Microplane model for fracture analysis of concrete structures. Evanston, IL: Northwestern Univ. Technological Institute.
Bažant, Z. P., and B. H. Oh. 1985. “Microplane model for progressive fracture of concrete and rock.” J. Eng. Mech. 111 (4): 559–582. https://doi.org/10.1061/(ASCE)0733-9399(1985)111:4(559).
Bažant, Z. P., and J. Ožbolt. 1990. “Nonlocal microplane model for fracture, damage, and size effect in structures.” J. Eng. Mech. 116 (11): 2485–2505. https://doi.org/10.1061/(ASCE)0733-9399(1990)116:11(2485).
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).
Bolander, J., Jr., 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.
Bolander, J. E., and N. Sukumar. 2005. “Irregular lattice model for quasistatic crack propagation.” Phys. Rev. B 71 (9): 094106. https://doi.org/10.1103/PhysRevB.71.094106.
Brown, M. D., and O. Bayrak. 2008. “Design of deep beams using strut-and-tie models. Part I: Evaluating US provisions.” ACI Struct. J. 105 (4): 395.
Caner, F. C., and Z. P. Bažant. 2012. “Microplane model m7 for plain concrete. II: Calibration and verification.” J. Eng. Mech. 139 (12): 1724–1735. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000571.
Caner, F. C., Z. P. Bažant, and R. Wendner. 2013. “Microplane model m7f for fiber reinforced concrete.” Eng. Fract. Mech. 105 (Jun): 41–57. https://doi.org/10.1016/j.engfracmech.2013.03.029.
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.
Ceccato, C., X. Zhou, D. Pelessone, and G. Cusatis. 2018. “Proper orthogonal decomposition framework for the explicit solution of discrete systems with softening response.” J Appl Mech 85 (5): 051004. https://doi.org/10.1115/1.4038967.
Cusatis, G., Z. P. Bažant, and L. Cedolin. 2003a. “Confinement-shear lattice model for concrete damage in tension and compression. I: Theory.” J. Eng. Mech. 129 (12): 1439–1448. https://doi.org/10.1061/(ASCE)0733-9399(2003)129:12(1439).
Cusatis, G., Z. P. Bažant, and L. Cedolin. 2003b. “Confinement-shear lattice model for concrete damage in tension and compression. II: Computation and validation.” J. Eng. Mech. 129 (12): 1449–1458. https://doi.org/10.1061/(ASCE)0733-9399(2003)129:12(1449).
Cusatis, G., and L. Cedolin. 2007. “Two-scale study of concrete fracturing behavior.” Eng. Fract. Mech. 74 (1–2): 3–17. https://doi.org/10.1016/j.engfracmech.2006.01.021.
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., D. Pelessone, and A. Mencarelli. 2011b. “Lattice discrete particle model (LDPM) for concrete 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, M. Alnaggar, X. Zhou, and D. Pelessone. 2014. “Multiscale computational models for the simulation of concrete materials and structures.” In Proc., Computational Modelling of Concrete Structures, 23–38. Boca Raton, FL: CRC Press.
El Helou, R. G. 2016. “Multiscale computational framework for analysis and design of ultra-high performance concrete structural components and systems.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Virginia Tech.
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).
Graybeal, B. A. 2006. Structural behavior of ultra high performance concrete prestressed I-girders. Washington, DC: Federal Highway Administration.
Graybeal, B. A. 2014. Design and construction of field-cast UHPC connections. Washington, DC: Federal Highway Administration.
Graybeal, B. A., I. De la Varga, and L. F. Maya Duque. 2016. “Fiber reinforcement influence on the tensile response of UHPFRC.” In Vol. 1 of Proc., Int. Interactive Symp. on Ultra-High Performance Concrete, 1–10. Ames, IA: Iowa State University Digital Press. https://doi.org/10.21838/uhpc.2016.86.
Hassan, A., S. Jones, and G. Mahmud. 2012. “Experimental test methods to determine the uniaxial tensile and compressive behaviour of ultra high performance fibre reinforced concrete (UHPFRC).” Constr. Build. Mater. 37 (Dec): 874–882. https://doi.org/10.1016/j.conbuildmat.2012.04.030.
Hillerborg, A., M. Modéer, and P.-E. Petersson. 1976. “Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements.” Cem. Concr. Res. 6 (6): 773–781. https://doi.org/10.1016/0008-8846(76)90007-7.
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.
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., and J. E. Bolander. 2017. “Event-based lattice modeling of strain-hardening cementitious composites.” Int. J. Fract. 206 (2): 245–261. https://doi.org/10.1007/s10704-017-0214-2.
Kang, S.-T., and J.-K. Kim. 2012. “Investigation on the flexural behavior of UHPCC considering the effect of fiber orientation distribution.” Constr. Build. Mater. 28 (1): 57–65. https://doi.org/10.1016/j.conbuildmat.2011.07.003.
Khodaie, S. 2018. “Meso-scale modeling of size effect on shear strength in glass fiber reinforced polymer reinforced concrete beams without stirrups.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of South Carolina.
Khodaie, S., F. Matta, and M. Alnaggar. 2016. “Lattice discrete particle modeling of shear failure in scaled GFRP reinforced concrete beams without stirrups.” In Proc., 9th Int. Conf. on Fracture Mechanics of Concrete and Concrete Structures FraMCoS-9. Evanston, IL: International Association of Fracture Mechanics for Concrete and Concrete Structures.
Khodaie, S., F. Matta, and M. Alnaggar. 2019. “Discrete meso-scale modeling and simulation of shear response of scaled glass FRP reinforced concrete beams without stirrups.” Eng. Fract. Mech. 216 (May): 106486. https://doi.org/10.1016/j.engfracmech.2019.106486.
Kusumawardaningsih, Y., E. Fehling, M. Ismail, and A. A. M. Aboubakr. 2015. “Tensile strength behavior of UHPC and UHPFRC.” Procedia Eng. 125: 1081–1086. https://doi.org/10.1016/j.proeng.2015.11.166.
Li, F., and Z. Li. 2001. “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.
Lilliu, G., and J. G. van Mier. 2003. “3D lattice type fracture model for concrete.” Eng. Fract. Mech. 70 (7–8): 927–941. https://doi.org/10.1016/S0013-7944(02)00158-3.
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.
Modéer, M. 1979. A fracture mechanics approach to failure analyses of concrete materials. Lund, Sweden: Div. of Building Materials, Univ. of Lund.
Pelessone, D. 2009. “MARS: Modeling and analysis of the response of structures—User’s manual.” Accessed May 1, 2020. http://www.es3inc.com/mechanics/MARS/Online/MarsManual.htm.
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.
Rena, C. Y., G. Ruiz, and E. W. Chaves. 2008. “A comparative study between discrete and continuum models to simulate concrete fracture.” Eng. Fract. Mech. 75 (1): 117–127. https://doi.org/10.1016/j.engfracmech.2007.03.031.
Rezakhani, R., and G. Cusatis. 2016. “Asymptotic expansion homogenization of discrete fine-scale models with rotational degrees of freedom for the simulation of quasi-brittle materials.” J. Mech. Phys. Solids 88 (Mar): 320–345. https://doi.org/10.1016/j.jmps.2016.01.001.
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.
Schauffert, E. A., and G. Cusatis. 2012. “Lattice discrete particle model for fiber reinforced concrete (LDPM-F). 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. O’Daniel, and J. Baylot. 2012. “Lattice discrete particle model for fiber reinforced concrete (LDPM-F). 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.
Wan, L., R. Wendner, B. Liang, and G. Cusatis. 2016. “Analysis of the behavior of ultra high performance concrete at early age.” Cem. Concr. Compos. 74 (Nov): 120–135. https://doi.org/10.1016/j.cemconcomp.2016.08.005.
Wan-Wendner, L., R. Wan-Wendner, and G. Cusatis. 2018. “Age-dependent size effect and fracture characteristics of ultra-high performance concrete.” Cem. Concr. Compos. 85 (Jan): 67–82. https://doi.org/10.1016/j.cemconcomp.2017.09.010.
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.
Yoo, D.-Y., and N. Banthia. 2016. “Mechanical properties of ultra-high-performance fiber-reinforced concrete: A review.” Cem. Concr. Compos. 73 (Oct): 267–280. https://doi.org/10.1016/j.cemconcomp.2016.08.001.
Yuan, J., and B. Graybeal. 2015. “Bond of reinforcement in ultra-high-performance concrete.” ACI Struct. J. 112 (6): 851–860.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 147Issue 9September 2021

History

Received: Oct 23, 2020
Accepted: Feb 16, 2021
Published online: Jun 25, 2021
Published in print: Sep 1, 2021
Discussion open until: Nov 25, 2021

Permissions

Request permissions for this article.

Authors

Affiliations

Tathagata Bhaduri, S.M.ASCE
Graduate Student, Dept. of Civil and Environmental Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180.
Shady Gomaa
Graduate Student, Dept. of Civil and Environmental Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180; Assistant Lecturer, Dept. of Structural Engineering, Zagazig Univ., Zagazig, Eygpt.
Assistant Professor, Dept. of Civil and Environmental Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180 (corresponding author). ORCID: https://orcid.org/0000-0002-3320-7652. 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.

Cited by

  • Reinforcement‐concrete bond in discrete modeling of structural concrete, Computer-Aided Civil and Infrastructure Engineering, 10.1111/mice.12937, (2022).
  • Behaviour of RC beams strengthened in flexure with hybrid CFRP-reinforced UHPC overlays, Engineering Structures, 10.1016/j.engstruct.2022.114356, 262, (114356), (2022).
  • Discrete mechanical models of concrete fracture, Engineering Fracture Mechanics, 10.1016/j.engfracmech.2021.108030, 257, (108030), (2021).

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