Technical Papers
Sep 27, 2024

Fracture in 3D-Printed Concrete Beams: Deflection and Penetration of Impinging Cracks at Layer Interfaces

Publication: Journal of Engineering Mechanics
Volume 150, Issue 12

Abstract

Structural assemblies produced using three-dimensional (3D) concrete printing consist of multiple layers of extruded material deposited along precise trajectories. The stress response of the printed assembly relies on the stress transfer between the individual layers. The interface tensile bond strength formed between extruded layers is less than the tensile strength of the extruded parent material in the printing direction. The interface tensile bond strength decreases with an increase in the time gap between layers, which ranges from a few seconds to tens of minutes. Crack propagation was evaluated in a beam made of multiple printed layers using two-dimensional (2D) digital image correlation. The crack propagates by penetrating the interface between layers printed with smaller time intervals. Crack deflection occurs at the interface before the crack emerges into the next layer because the bond between the layers weakens with an increasing time gap. Decreasing bond strength between layers results in significant crack propagation along the interface and even a doubly deflected crack at the interface. A linear elastic fracture mechanics (LEFM)-based formulation of a crack impinging normally on a bimaterial interface was used to provide insights into crack propagation at a layer interface in a printed assembly. The crack deflection at the interface is interpreted as a decrease in the critical interface energy release rate (Gintc) relative to the critical fracture energy release rate for penetration (Gmc). The reduction in the Gintc to values lower than a threshold value of Gmc produces a deflection in the crack path at the interface. Crack propagation along the interface results in a mixed-mode fracture condition, and Gintc contains contributions from Modes 1 and 2. The continued decrease of Gintc relative to Gmc produces a doubly deflected crack at the interface between layers. The crack deflection into the interface provides a rational reference for identifying strong and weak interfaces between the layers. The reduced capacity of the interface for identifying a weak interface leading to a cold joint can be identified using a fracture-based evaluation of crack deflection.

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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.

Acknowledgments

The authors thank Simpliforge Creations, Siddipet, Telangana, India, for printing and supplying the samples.

References

Asprone, D., F. Auricchio, C. Menna, and V. Mercuri. 2018. “3D printing of reinforced concrete elements: Technology and design approach.” Constr. Build. Mater. 165 (Mar): 218–231. https://doi.org/10.1016/j.conbuildmat.2018.01.018.
Baz, B., G. Aouad, N. Khalil, and S. Remond. 2021. “Inter-layer reinforcement of 3D printed concrete elements.” Asian J. Civ. Eng. 22 (2): 341–349. https://doi.org/10.1007/s42107-020-00317-0.
BIS (Bureau of Indian Standards). 1970. Specification for coarse and fine aggregates from natural sources for concrete (second revision). IS 383. New Delhi, India: BIS.
BIS (Bureau of Indian Standards). 1999. Splitting tensile strength of concrete—Method of test. IS 5816. New Delhi, India: BIS.
BIS (Bureau of Indian Standards). 2013. Ordinary Portland cement, 53 grade—Specification. IS-12269. New Delhi, India: BIS.
Bruck, H. A., S. McNeill, M. Sutton, and W. Peters III. 1989. “Digital image correlation using Newton–Raphson method of partial differential correction.” Exp. Mech. 29 (Sep): 261–267. https://doi.org/10.1007/BF02321405.
BSI (British Standards Institution). 2005. Test method for metallic fibre concrete. Measuring the flexural tensile strength (limit of proportionality (LOP), residual). EN-14651. London: BSI.
Chakraborty, S., and K. V. L. Subramaniam. 2023. “Influences of matrix strength and weak planes on fracture response of recycled aggregate concrete.” Theor. Appl. Fract. Mech. 124 (Apr): 103801. https://doi.org/10.1016/j.tafmec.2023.103801.
Chang, Z., Y. Chen, E. Schlangen, and B. Šavija. 2023. “A review of methods on buildability quantification of extrusion-based 3D concrete printing: From analytical modelling to numerical simulation.” Dev. Built Environ. 16 (Oct): 100241. https://doi.org/10.1016/j.dibe.2023.100241.
Chen, H., D. Zhang, P. Chen, N. Li, and A. Perrot. 2023. “A review of the extruder system design for large-scale extrusion-based 3D concrete printing.” Materials 16 (7): 2661. https://doi.org/10.3390/ma16072661.
Chen, Y., K. Jansen, H. Zhang, C. Romero Rodriguez, Y. Gan, O. Çopuroğlu, and E. Schlangen. 2020. “Effect of printing parameters on interlayer bond strength of 3D printed limestone-calcined clay-based cementitious materials: An experimental and numerical study.” Constr. Build. Mater. 262 (Nov): 120094. https://doi.org/10.1016/j.conbuildmat.2020.120094.
He, M.-Y., and J. W. Hutchinson. 1989. “Crack deflection at an interface between dissimilar elastic materials.” Int. J. Solids Struct. 25 (9): 1053–1067. https://doi.org/10.1016/0020-7683(89)90021-8.
Huang, X., W. Yang, F. Song, and J. Zou. 2022. “Study on the mechanical properties of 3D printing concrete layers and the mechanism of influence of printing parameters.” Constr. Build. Mater. 335: 127496. https://doi.org/10.1016/j.conbuildmat.2022.127496.
Joh, C., J. Lee, T. Q. Bui, J. Park, and I. H. Yang. 2020. “Buildability and mechanical properties of 3D printed concrete.” Materials 13 (21): 4919. https://doi.org/10.3390/ma13214919.
Keita, E., H. Bessaies-Bey, W. Zuo, P. Belin, and N. Roussel. 2019. “Weak bond strength between successive layers in extrusion-based additive manufacturing: Measurement and physical origin.” Cem. Concr. Res. 123 (Sep): 105787. https://doi.org/10.1016/j.cemconres.2019.105787.
Le, T. T., S. A. Austin, S. Lim, R. A. Buswell, R. Law, A. G. F. Gibb, and T. Thorpe. 2012. “Hardened properties of high-performance printing concrete.” Cem. Concr. Res. 42 (3): 558–566. https://doi.org/10.1016/j.cemconres.2011.12.003.
Marchment, T., J. G. Sanjayan, B. Nematollahi, and M. Xia. 2019. “Interlayer strength of 3D printed concrete: Influencing factors and method of enhancing.” In 3D concrete printing technology: Construction and building applications, 241–264. Amsterdam, Netherlands: Elsevier.
Moelich, G. M., J. Kruger, and R. Combrinck. 2021. “Modelling the interlayer bond strength of 3D printed concrete with surface moisture.” Cem. Concr. Res. 150 (Dec): 106559. https://doi.org/10.1016/j.cemconres.2021.106559.
Mohan, M. K., A. V. Rahul, K. Van Tittelboom, and G. De Schutter. 2021. “Rheological and pumping behaviour of 3D printable cementitious materials with varying aggregate content.” Cem. Concr. Res. 139: 106258. https://doi.org/10.1016/j.cemconres.2020.106258.
Nair, S. A. O., A. Tripathi, and N. Neithalath. 2021. “Examining layer height effects on the flexural and fracture response of plain and fiber-reinforced 3D-printed beams.” Cem. Concr. Compos. 124 (Nov): 104254. https://doi.org/10.1016/j.cemconcomp.2021.104254.
Nerella, V. N., S. Hempel, and V. Mechtcherine. 2019. “Effects of layer-interface properties on mechanical performance of concrete elements produced by extrusion-based 3D-printing.” Constr. Build. Mater. 205 (Apr): 586–601. https://doi.org/10.1016/j.conbuildmat.2019.01.235.
Nodehi, M., F. Aguayo, S. E. Nodehi, A. Gholampour, T. Ozbakkaloglu, and O. Gencel. 2022. “Durability properties of 3D printed concrete (3DPC).” Autom. Constr. 142 (Oct): 104479. https://doi.org/10.1016/j.autcon.2022.104479.
Otsubo, Y., S. Miyai, and K. Umeya. 1980. “Time-dependent flow of cement pastes.” Cem. Concr. Res. 10 (5): 631–638. https://doi.org/10.1016/0008-8846(80)90026-5.
Paritala, S., K. K. Singaram, I. Bathina, M. A. Khan, and S. K. R. Jyosyula. 2023. “Rheology and pumpability of mix suitable for extrusion-based concrete 3D printing—A review.” Constr. Build. Mater. 402 (Oct): 132962. https://doi.org/10.1016/j.conbuildmat.2023.132962.
Põldaru, M., K. Tammkõrv, T. Tuisk, M. Kiviste, and R. Puust. 2023. “The effect of printing direction on the strength characteristics of a 3D printed concrete wall section.” Buildings 13 (12): 2917. https://doi.org/10.3390/buildings13122917.
Quah, T. K. N., Y. W. D. Tay, J. H. Lim, M. J. Tan, T. N. Wong, and K. H. H. Li. 2023. “Concrete 3D printing: Process parameters for process control, monitoring and diagnosis in automation and construction.” Mathematics 11 (6): 1499. https://doi.org/10.3390/math11061499.
Reddy, K. C., and K. V. L. Subramaniam. 2017. “Experimental investigation of crack propagation and post-cracking behaviour in macrosynthetic fibre reinforced concrete.” Mag. Concr. Res. 69 (9): 467–478. https://doi.org/10.1680/jmacr.16.00396.
Roussel, N. 2018. “Rheological requirements for printable concretes.” Cem. Concr. Res. 112 (Oct): 76–85. https://doi.org/10.1016/j.cemconres.2018.04.005.
Roussel, N., H. Bessaies-Bey, S. Kawashima, D. Marchon, K. Vasilic, and R. Wolfs. 2019. “Recent advances on yield stress and elasticity of fresh cement-based materials.” Cem. Concr. Res. 124 (Oct): 105798. https://doi.org/10.1016/j.cemconres.2019.105798.
Salet, T. A. M., Z. Y. Ahmed, F. P. Bos, and H. L. M. Laagland. 2018. “Design of a 3D printed concrete bridge by testing.” Virtual Phys. Prototyping 13 (3): 222–236. https://doi.org/10.1080/17452759.2018.1476064.
Sanjayan, J. G., B. Nematollahi, M. Xia, and T. Marchment. 2018. “Effect of surface moisture on inter-layer strength of 3D printed concrete.” Constr. Build. Mater. 172 (May): 468–475. https://doi.org/10.1016/j.conbuildmat.2018.03.232.
Schreier, H. W., and M. A. Sutton. 2002. “Systematic errors in digital image correlation due to undermatched subset shape functions.” Exp. Mech. 42 (Sep): 303. https://doi.org/10.1007/BF02410987.
Sundaram, B. M., and H. V. Tippur. 2016. “Dynamics of crack penetration vs. branching at a weak interface: An experimental study.” J. Mech. Phys. Solids 96 (Nov): 312–332. https://doi.org/10.1016/j.jmps.2016.07.020.
Suo, Y., Y.-J. Zhao, X.-F. Fu, W.-Y. He, and Z.-J. Pan. 2023. “Research on the mixed-mode fracture damage characteristics of shale soaked in different drilling fluids.” Geomech. Geophys. Geo-Energy Geo-Resour. 9 (1): 156. https://doi.org/10.1007/s40948-023-00692-3.
Tripathi, A., S. A. Nair, H. Chauhan, and N. Neithalath. 2024. “Print geometry alterations and layer staggering to enhance mechanical properties of plain and fiber-reinforced three-dimensional-printed concrete.” ACI Mater. J. 121 (Mar): 17–30. https://doi.org/10.14359/51740262.
Van Der Putten, J., M. Deprez, V. Cnudde, G. De Schutter, and K. Van Tittelboom. 2019. “Microstructural characterization of 3D printed cementitious materials.” Materials 12 (18): 2993. https://doi.org/10.3390/ma12182993.
van Overmeir, A. L., B. Šavija, F. P. Bos, and E. Schlangen. 2023. “Effects of 3D concrete printing phases on the mechanical performance of printable strain-hardening cementitious composites.” Buildings 13 (10): 2483. https://doi.org/10.3390/buildings13102483.
Wangler, T., et al. 2016. “Digital concrete: Opportunities and challenges.” RILEM Tech. Lett. 1 (1): 67–75. https://doi.org/10.21809/rilemtechlett.2016.16.
Weng, Y., M. Li, D. Zhang, M. J. Tan, and S. Qian. 2021. “Investigation of interlayer adhesion of 3D printable cementitious material from the aspect of printing process.” Cem. Concr. Res. 143 (May): 106386. https://doi.org/10.1016/j.cemconres.2021.106386.
Wolfs, R. J. M., F. P. Bos, and T. A. M. Salet. 2019. “Hardened properties of 3D printed concrete: The influence of process parameters on interlayer adhesion.” Cem. Concr. Res. 119 (May): 132–140. https://doi.org/10.1016/j.cemconres.2019.02.017.
Yang, S., T. Lan, Z. Sun, M. Xu, M. Wang, and Y. Feng. 2022. “A predictive model to determine tensile strength and fracture toughness of 3D printed fiber reinforced concrete loaded in different directions.” Theor. Appl. Fract. Mech. 119 (Jun): 103309. https://doi.org/10.1016/j.tafmec.2022.103309.
Yao, H., Z. Xie, Z. Li, C. Huang, Q. Yuan, and X. Zheng. 2022. “The relationship between the rheological behavior and interlayer bonding properties of 3D printing cementitious materials with the addition of attapulgite.” Constr. Build. Mater. 316 (Jan): 125809. https://doi.org/10.1016/j.conbuildmat.2021.125809.
Ye, J., M. Yang, J. Yu, Y. Dai, B. B. Yin, and Y. Weng. 2024. “Size effect on flexural and fracture behaviors of 3D printed engineered cementitious composites: Experimental and numerical studies.” Eng. Struct. 298 (Jan): 117062. https://doi.org/10.1016/j.engstruct.2023.117062.
Zhao, Y., Y. Liu, and B. Xu. 2021. “Effect of coarse aggregate size distribution on fracture toughness of concrete based on boundary effect model.” Theor. Appl. Fract. Mech. 113 (Jun): 102970. https://doi.org/10.1016/j.tafmec.2021.102970.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 150Issue 12December 2024

History

Received: Feb 7, 2024
Accepted: Jul 29, 2024
Published online: Sep 27, 2024
Published in print: Dec 1, 2024
Discussion open until: Feb 27, 2025

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Professor, Dept. of Civil Engineering, Indian Institute of Technology Hyderabad, Room 502, Kandi, Sangareddy, Hyderabad, Telangana 502285, India (corresponding author). ORCID: https://orcid.org/0000-0002-5995-0911. Email: [email protected]
Research Scholar, Dept. of Civil Engineering, Indian Institute of Technology Hyderabad, Kandi, Sangareddy, Hyderabad, Telangana 502285, India. ORCID: https://orcid.org/0000-0001-7487-3013
Omkar Kulkarni
Research Assistant, Dept. of Civil Engineering, Indian Institute of Technology Hyderabad, Kandi, Sangareddy, Hyderabad, Telangana 502285, India.
Manideep S. Thakur
Research Assistant, Dept. of Civil Engineering, Indian Institute of Technology Hyderabad, Kandi, Sangareddy, Hyderabad, Telangana 502285, India.

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