Technical Papers
Dec 14, 2022

Rigid-Block DEM Modeling of Mesoscale Fracture Behavior of Concrete with Random Aggregates

Publication: Journal of Engineering Mechanics
Volume 149, Issue 2

Abstract

The mesoscale structure generated in concrete plays a significant role in the mechanical properties and local failure behavior of mesoscale concrete. This work proposes a novel rigid-block discrete-element method (RB-DEM) for concrete modeling with random mesoscale structure. The results of the uniaxial compression using the RB-DEM demonstrated satisfactory agreement with experimental data. The RB-DEM does not only show satisfactory performance in simulation but also it is simple to use. The RB-DEM model can be built from any finite-element mesh generator, either open source codes or commercial software, which are readily available. The interfacial transition zone (ITZ) is modeled directly by assigning the weakened contact model or parameter at the interface between aggregate and mortar. The effects of ITZ parameters, aggregate volume fraction, and geometric shape on the stress–strain curve and crack propagation are discussed. This work provides a novel and efficient tool for the mesoscale fracture simulation of concretelike material considering the relatively large time-step of the DEM.

Practical Applications

Concrete is one of the most common building materials, and its mechanical properties and crack evolution under pressure are extremely important for practical engineering construction. With the development of computer performance, scholars have used software or code to simulate experiments to improve efficiency and save costs (this is known as numerical simulation). This paper proposes a novel method named rigid-block DEM to simulate uniaxial compressive strength test of concrete, and the results were highly similar to the actual experimental results. This method can help researchers further study the influence of various concrete parameters on its performance. Compared with the traditional methods, the rigid-block DEM has abundant advantages such as simple model generation and high calculation efficiency, which provides a valuable reference for the future numerical simulation of concrete, and has certain guiding significance for engineering construction.

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Data Availability Statement

All data, models, and codes that support the findings of this paper are available from the corresponding author upon reasonable request.

Acknowledgments

This investigation is financially supported by the National Key R&D Program of China (2018YFC0407004), the Fundamental Research Funds for the Central Universities (No. B200201059), the National Natural Science Foundation of China (Grant No. 51709089), and 111 Project.

References

Afifipour, M., and P. Moarefvand. 2014. “Mechanical behavior of bimrocks having high rock block proportion.” Int. J. Rock Mech. Min. Sci. 65 (Jan): 40–48. https://doi.org/10.1016/j.ijrmms.2013.11.008.
Barber, C. B., D. P. Dobkin, and H. Huhdanpaa. 1996. “The quickhull algorithm for convex hulls.” ACM Trans. Math. Software 22 (4): 469–483. https://doi.org/10.1145/235815.235821.
Boon, C. W., G. T. Houlsby, and S. Utili. 2012. “A new algorithm for contact detection between convex polygonal and polyhedral particles in the discrete element method.” Comput. Geotech. 44 (Jun): 73–82. https://doi.org/10.1016/j.compgeo.2012.03.012.
Chadchart, S., and L. W. Sharon. 1995. “Influence of web reinforcement on the cyclic response of structural walls.” ACI Struct. J. 92 (6): 45–56. https://doi.org/10.14359/9668.
Chen, H., B. Xu, Y. L. Mo, and T. Zhou. 2018. “Behavior of meso-scale heterogeneous concrete under uniaxial tensile and compressive loadings.” Constr. Build. Mater. 178 (Jul): 418–431. https://doi.org/10.1016/j.conbuildmat.2018.05.052.
Cho, N., C. D. Martin, and D. C. Sego. 2007. “A clumped particle model for rock.” Int. J. Rock Mech. Min. Sci. 44 (7): 997–1010. https://doi.org/10.1016/j.ijrmms.2007.02.002.
Donze, F., V. Richefeu, and S.-A. Magnier. 2009. “Advances in discrete element method applied to soil, rock and concrete mechanics.” Electron. J. Geotech. Eng. 8 (1): 44.
Feng, Y. T., K. Han, and D. R. J. Owen. 2012. “Energy-conserving contact interaction models for arbitrarily shaped discrete elements.” Comput. Methods Appl. Mech. Eng. 205–208 (Jan): 169–177. https://doi.org/10.1016/j.cma.2011.02.010.
Fuller, W. B., and S. E. Thompson. 1907. “The laws of proportioning, concrete.” Trans. Am. Soc. Civ. Eng. 53 (2): 107–115. https://doi.org/10.1061/TACEAT.0001979.
Gilbert, E. G., D. W. Johnson, and S. S. Keerthi. 1988. “A fast procedure for computing the distance between complex objects in three-dimensional space.” IEEE J. Robot. Autom. 4 (2): 193–203. https://doi.org/10.1109/56.2083.
Graham, R. L. 1972. “An efficient algorithm for determining the convex hull of a finite planar set.” Inf. Process. Lett. 1 (4): 132–133. https://doi.org/10.1016/0020-0190(72)90045-2.
Han, Y., J. Zhang, and Z. Wang. 2013. “Effect of volume fraction of coarse aggregate on elastic modulus and compressive strength of concrete.” [In Chinese.] Harbin Gongye Daxue Xuebao (J. Harbin Inst. Technol.) 45 (4): 84–91. https://doi.org/10.2991/3ca-13.2013.81.
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.
Huang, Y., D. Yan, Z. Yang, and G. Liu. 2016. “2D and 3D homogenization and fracture analysis of concrete based on in-situ X-ray computed tomography images and Monte Carlo simulations.” Eng. Fract. Mech. 163 (Sep): 37–54. https://doi.org/10.1016/j.engfracmech.2016.06.018.
Itasca Systems. 2021. Itasca user’s manual. Version 7.00. Egg Harbor, WI: Itasca Systems.
Jin, L., M. Du, D. Li, X. L. Du, and H. B. Xu. 2017a. “Effects of cross section size and transverse rebar on the behavior of short squared RC columns under axial compression.” Eng. Struct. 142 (Jul): 223–239. https://doi.org/10.1016/j.engstruct.2017.04.002.
Jin, L., W. Yu, D. Li, and X. Du. 2021. “Numerical and theoretical investigation on the size effect of concrete compressive strength considering the maximum aggregate size.” Int. J. Mech. Sci. 192 (Feb): 106130. https://doi.org/10.1016/j.ijmecsci.2020.106130.
Jin, L., R. Zhang, and X. Du. 2017b. “Computational homogenization for thermal conduction in heterogeneous concrete after mechanical stress.” Constr. Build. Mater. 141 (Jun): 222–234. https://doi.org/10.1016/j.conbuildmat.2017.03.016.
Jin, L., S. Zhang, D. Li, H. B. Xu, X. L. Du, and Z. B. Li. 2018. “A combined experimental and numerical analysis on the seismic behavior of short reinforced concrete columns with different structural sizes and axial compression ratios.” Int. J. Damage Mech. 27 (9): 1416–1447. https://doi.org/10.1177/1056789517735679.
Lilliu, G., and J. G. M. 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.
Liu, C., X. Chen, W. Zhang, and S. Wang. 2017a. “Study on the calibration process of parallel bonding meso-structure parameter in PFC numerical simulation.” Value Eng. 36 (Jan): 204–207. https://doi.org/CNKI:SUN:JZGC.0.2017-26-086.
Liu, L., Z. Cao, and J. Wang. 2017b. “Selection methods of rock micro-parameters based on the linear parallel bond contact model.” [In Chinese.] J. Water Resour. Archit. Eng. 15 (5): 123–128. https://doi.org/10.3969/j.issn.1672-1144.2017.05.021.
Luković, M., E. Schlangen, and G. Ye. 2015. “Combined experimental and numerical study of fracture behaviour of cement paste at the microlevel.” Cem. Concr. Res. 73 (Jul): 123–135. https://doi.org/10.1016/j.cemconres.2015.03.008.
Meng, Q., H. Wang, M. Cai, W. Xu, X. Zhuang, and T. Rabczuk. 2020a. “Three-dimensional mesoscale computational modeling of soil-rock mixtures with concave particles.” Eng. Geol. 277 (Nov): 105802. https://doi.org/10.1016/j.enggeo.2020.105802.
Meng, Q. X., H. L. Wang, W. Y. Xu, and M. Cai. 2018. “A numerical homogenization study of the elastic property of a soil-rock mixture using random mesostructure generation.” Comput. Geotech. 98 (Jun): 48–57. https://doi.org/10.1016/j.compgeo.2018.01.015.
Meng, Q.-X., W.-Y. Xu, H.-L. Wang, X.-Y. Zhuang, W.-C. Xie, and T. Rabczuk. 2020b. “DigiSim—An open source software package for heterogeneous material modeling based on digital image processing.” Adv. Eng. Software 148 (Dec): 102836. https://doi.org/10.1016/j.advengsoft.2020.102836.
Nitka, M., and J. Tejchman. 2015. “Modelling of concrete behaviour in uniaxial compression and tension with DEM.” Granular Matter 17 (1): 145–164. https://doi.org/10.1007/s10035-015-0546-4.
Okamura, H., and K. Maekawa. 1990. “Nonlinear-analysis and constitutive models of reinforced-concrete.” In Vols. 1 and 2 of Computer aided analysis and design of concrete structures, 831–850. Tokyo: Giho-do Press.
Peng, Y. J., X. Y. Chen, L. P. Ying, Y. Chen, and L. J. Zhang. 2019. “Mesoscopic numerical simulation of fracture process and failure mechanism of concrete based on convex aggregate model.” Adv. Mater. Sci. Eng. 2019 (Jan): 5234327. https://doi.org/10.1155/2019/5234327.
Potyondy, D. O., and P. A. Cundall. 2004. “A bonded-particle model for rock.” Int. J. Rock Mech. Min. Sci. 41 (8): 1329–1364. https://doi.org/10.1016/j.ijrmms.2004.09.011.
Sawamoto, Y., H. Tsubota, Y. Kasai, N. Koshika, and H. Morikawa. 1998. “Analytical studies on local damage to reinforced concrete structures under impact loading by discrete element method.” Nucl. Eng. 179 (2): 157–177. https://doi.org/10.1016/S0029-5493(97)00268-9.
Shamos, M. I. 1978. Computational geometry. New Haven, CT: Yale Univ.
Shamos, M. I., and D. Hoey. 1976. “Geometric intersection problems.” In Proc., 17th Annual Symp. on Foundations of Computer Science (SFCS 1976), 208–215. New York: IEEE.
Sheng, P., J. Zhang, and Z. Ji. 2016. “An advanced 3D modeling method for concrete-like particle-reinforced composites with high volume fraction of randomly distributed particles.” Compos. Sci. Technol. 134 (Oct): 26–35. https://doi.org/10.1016/j.compscitech.2016.08.009.
Shi, C., D.-J. Li, W.-Y. Xu, and R. Wang. 2015. “Discrete element cluster modeling of complex mesoscopic particles for use with the particle flow code method.” Granular Matter 17 (3): 377–387. https://doi.org/10.1007/s10035-015-0557-1.
Suchorzewski, J., J. Tejchman, and M. Nitka. 2017. “Discrete element method simulations of fracture in concrete under uniaxial compression based on its real internal structure.” Int. J. Damage Mech. 27 (4): 578–607. https://doi.org/10.1177/1056789517690915.
Teddy, J. H. 1962. “Modulus of elasticity IOF concrete affected by elastic moduli of cement paste matrix and aggregate.” ACI J. Proc. 59 (3): 427–452.
Thurstone, L. L. 1927. “A law of comparative judgment.” Psychol. Rev. 34 (4): 273–286. https://doi.org/10.1037/h0070288.
Van den Bergen, G. V. D. 1999. “A fast and robust GJK implementation for collision detection of convex objects.” J. Graphics Tools 4 (2): 7–25. https://doi.org/10.1080/10867651.1999.10487502.
Wang, P., N. Gao, K. Ji, L. Stewart, and C. Arson. 2020. “DEM analysis on the role of aggregates on concrete strength.” Comput. Geotech. 119 (Mar): 103290. https://doi.org/10.1016/j.compgeo.2019.103290.
Wang, X. F., Z. J. Yang, J. R. Yates, A. P. Jivkov, and C. Zhang. 2015. “Monte Carlo simulations of mesoscale fracture modelling of concrete with random aggregates and pores.” Constr. Build. Mater. 75 (Jan): 35–45. https://doi.org/10.1016/j.conbuildmat.2014.09.069.
Wang, Z. M., A. K. H. Kwan, and H. C. Chan. 1999. “Mesoscopic study of concrete I: Generation of random aggregate structure and finite element mesh.” Comput. Struct. 70 (5): 533–544. https://doi.org/10.1016/S0045-7949(98)00177-1.
Wei, D., R. C. Hurley, L. H. Poh, D. Dias-da-Costa, and Y. Gan. 2020. “The role of particle morphology on concrete fracture behaviour: A meso-scale modelling approach.” Cem. Concr. Res. 134 (Aug): 106096. https://doi.org/10.1016/j.cemconres.2020.106096.
Wittmann, F., P. Roelfstra, and H. Sadouki. 1985. “Simulation and analysis of composite structures.” Mater. Sci. Eng. 68 (2): 239–248. https://doi.org/10.1016/0025-5416(85)90413-6.
Xing, X., J. Liu, G. Sun, M. Yan, and K. Zhang. 2014. “Influence of different shape of coarse aggregate on concrete mechanical properties.” [In Chinese.] Concrete 67 (2): 61–63. https://doi.org/10.3969/j.issn.1002-3550.2014.02.016.
Xu, W.-J., S. Wang, H.-Y. Zhang, and Z.-L. Zhang. 2016. “Discrete element modelling of a soil-rock mixture used in an embankment dam.” Int. J. Rock Mech. Min. Sci. 86 (Jul): 141–156. https://doi.org/10.1016/j.ijrmms.2016.04.004.
Xu, W.-J., Z.-Q. Yue, and R.-L. Hu. 2008. “Study on the mesostructure and mesomechanical characteristics of the soil–rock mixture using digital image processing based finite element method.” Int. J. Rock Mech. Min. Sci. 45 (5): 749–762. https://doi.org/10.1016/j.ijrmms.2007.09.003.
Yılmaz, O., and J.-F. Molinari. 2017. “A mesoscale fracture model for concrete.” Cem. Concr. Res. 97 (Jul): 84–94. https://doi.org/10.1016/j.cemconres.2017.03.014.
Yu, K.-L., Z.-J. Yang, X. Zhang, and G.-H. Liu. 2022. “Two-dimensional meso-scale simulation of hydraulic fracture in concrete.” Int. J. Comput. Methods 2143008. https://doi.org/10.1142/S0219876221430088.
Yue, Z. Q., W. Bekking, and I. Morin. 1995. “Application of digital image processing to quantitative study of asphalt concrete microstructure.” Transp. Res. Rec. 1492 (1): 53–60.
Yue, Z. Q., S. Chen, and L. G. Tham. 2003. “Finite element modeling of geomaterials using digital image processing.” Comput. Geotech. 30 (5): 375–397. https://doi.org/10.1016/S0266-352X(03)00015-6.
Zhang, S., C. Zhang, L. Liao, and C. Wang. 2018. “Numerical study of the effect of ITZ on the failure behaviour of concrete by using particle element modeling.” Constr. Build. Mater. 170 (May): 776–789. https://doi.org/10.1016/j.conbuildmat.2018.03.040.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 149Issue 2February 2023

History

Received: May 30, 2022
Accepted: Oct 20, 2022
Published online: Dec 14, 2022
Published in print: Feb 1, 2023
Discussion open until: May 14, 2023

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Professor, Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai Univ., Nanjing, Jiangsu 210098, China (corresponding author). ORCID: https://orcid.org/0000-0002-8771-5177. Email: [email protected]
Postgraduate Student, Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai Univ., Nanjing, Jiangsu 210098, China. Email: [email protected]
Hangtian Song [email protected]
Postgraduate Student, Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai Univ., Nanjing, Jiangsu 210098, China. Email: [email protected]
Xiaoying Zhuang [email protected]
Professor, Dept. of Civil Engineering, Tongji Univ., Shanghai 200092, China. Email: [email protected]
Timon Rabczuk [email protected]
Professor, Dept. of Computer Engineering, College of Computer and Information Sciences, King Saud Univ., Riyadh 12372–2915, Saudi Arabia. Email: [email protected]

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