Abstract
Accurate prediction of tensile stresses in repair mortars is vital for the long-term durability of rehabilitated concrete structures. Existing analytical models are based on the material property theory and often struggle to capture the intricate and non-linear behavior exhibited by different mix types used in concrete. To address the limitation of existing models, neural networks were employed as a modelling approach for more robust and versatile predictions. The data used in developing the models was obtained from laboratory experiments. The input variables to the ANN model included: water content, cement, silica fume, superplasticizer, admixture, and age. Three distinct ANN-based models were developed based on: ordinary Portland cement, 10% silica fume as a partial replacement of cement and a combination of the two binder types. These models were evaluated using four performance metrics: coefficient of determination (R2), root mean square error (RMSE), mean absolute error (MAE), and mean absolute percentage error (MAPE). When mortars with ordinary Portland cement was used as a binder, the R2, MAE, MAPE, and RMSE were 99.74%, 0.0808, 0.0397, and 0.0138, respectively. For mortars with 10% silica fume, the ANN model predicted restrained shrinkage stresses in mortars with R2, MAE, MAPE, and RMSE values of 99.25%, 0.0090, 0.0731, and 0.3161, respectively. When both binders were used, the R2, MAE, MAPE, and RMSE were 99.77%, 0.0093, 0.0804, and 0.1775, respectively. The application of neural networks for predicting restrained shrinkage stresses in repair mortars outperforms conventional models with enhanced accuracy and reliability. The developed ANN models serve as powerful tools for assessing and optimizing the performance of repair mortars, enabling more efficient and precise design strategies in concrete repair.
Keywords
Artificial Neural Networks, Restrained Shrinkage Stresses, Concrete Repair, Elastic modulus, Drying shrinkage,Downloads
References
- Z. Li, (2011) Advanced Concrete Technology. Wiley Online Library. https://doi.org/10.1002/9780470950067
- H. Beushausen, M. Chilwesa, Assessment and prediction of drying shrinkage cracking in bonded mortar overlays. Cement and Concrete Research, 53 (2013) 256–266. https://doi.org/10.1016/j.cemconres.2013.07.008
- A.M. Vaysburd, B. Bissonnette, K. F. von Fay, (2014). Compatibility issues in design and implementation of concrete repairs and overlays. US Department of the Interior, Bureau of Reclamation, Technical Service Center, Materials Engineering and Research Laboratory.
- H. Beushausen, M.G. Alexander, Localised strain and stress in bonded concrete overlays subjected to differential shrinkage. Materials and Structures/Materiaux et Constructions, 40(2), 189–199. https://doi.org/10.1617/s11527-006-9130-z
- T. Dittmer, H. Beushausen, The effect of coarse aggregate content and size on the age at cracking of bonded concrete overlays subjected to restrained deformation. Construction and Building Materials, 69 (2014) 73–82. https://doi.org/10.1016/j.conbuildmat.2014.06.056
- D.R. Nayak, R.R. Pattnaik, B. Chandra Panda, Study on relative shrinkage of cement-based micro-concrete for durable concrete repair. Cleaner Engineering and Technology, 8, (2022). https://doi.org/10.1016/j.clet.2022.100444
- D.P. Bentz, W.J. Weiss, Quantifying Stress Development and Remaining Stress Capacity in Restrained, Internally Cured Mortars. ACI Materials Journal, 110(1), 3-11.
- D.A. Lange, H.C. Shin, Early age stresses and debonding in bonded concrete overlays. Transportation research record, 1778(1), (2001) 174-181. https://doi.org/10.3141/1778-21
- S. Sajedi, F. Ghassemzadeh, I. Harsini, M. Shekarchi, B. Mohammadi, Behavior of bonded concrete overlays under restrained shrinkage. First Middle East Conference on Samrt Monitoring Assessment and Rehabilitation of Civil Structures, Dubai.
- A. Bentur, K. Kovler, Evaluation of early age cracking characteristics in cementitious systems. Materials and Structures, 36 (2003) 183–190. https://doi.org/10.1007/BF02479556
- N. Banthia, R. Gupta, Plastic shrinkage cracking in cementitious repairs and overlays. Materials and Structures/Materiaux et Constructions, 42(5), 567–579. https://doi.org/10.1617/s11527-008-9403-9
- W.J. Weiss, W. Yang, S.P. Shah, Shrinkage Cracking of Restrained Concrete Slabs. Journal of Engineering Mechanics, 124(7), (1998) 765–774. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:7(765)
- I. Khan, A. Castel, R.I. Gilbert, Tensile creep and early-age concrete cracking due to restrained shrinkage. Constr Build Mater, 149, (2017) 705–715. https://doi.org/10.1016/j.conbuildmat.2017.05.081
- R.D. Toledo Filho, K. Ghavami, M.A. Sanjuán, G.L. England, Free, restrained and drying shrinkage of cement mortar composites reinforced with vegetable fibres. Cement and Concrete Composites, 27(5), (2005) 537–546. https://doi.org/10.1016/j.cemconcomp.2004.09.005
- P. Lv, G. Long, Y. Xie, J. Peng, S. Guo, Study on the mitigation of drying shrinkage and crack of limestone powder cement paste and its mechanism. Construction and Building Materials, 411, (2024) 134325. https://doi.org/10.1016/j.conbuildmat.2023.134325
- J.E. Rossen, B. Lothenbach, K.L. Scrivener, Composition of C-S-H in pastes with increasing Levels of silicafume addition. Cement and Concrete Research, 75, (2015) 14-22. https://doi.org/10.1016/j.cemconres.2015.04.016
- F. Azarhomayun, M. Haji, M. Kioumarsi, M. Shekarchi, Effect of calcium stearate and aluminum powder on free and restrained drying shrinkage, crack characteristic and mechanical properties of concrete. Cement and Concrete Composites, 125, (2022) 104276. https://doi.org/10.1016/j.cemconcomp.2021.104276
- H. Beushausen, M. Gillmer, The use of superabsorbent polymers to reduce cracking of bonded mortar overlays. Cement and Concrete Composites, 52, (2014) 1–8. https://doi.org/10.1016/j.cemconcomp.2014.03.009
- Y.S. Yuan, Restrained shrinkage in repaired reinforced concrete elements. Materials and Structures, 27, (1994) 375–382. https://doi.org/10.1007/BF02473440
- Y. Yuan, G. Li, and Y. Cai, Modeling for prediction of restrained shrinkage effect in concrete repair. Cement and concrete research, 33(3), (2003) 347-352.
- J. Silfwerbrand, Bonded concrete overlays for repairing concrete structures. in Failure, Distress and Repair of Concrete Structures, Elsevier Ltd, (2009) 208–243. https://doi.org/10.1533/9781845697037.2.208
- M.H. Baluch, M.K. Rahman, A.H. Al-Gadhib, Risks of Cracking and Delamination in Patch Repair. Journal of Materials in Civil Engineering,14(4), 294–302. https://doi.org/10.1061/(ASCE)0899-1561(2002)14:4(294)
- E. Denarie, J. Silfwerbrand, H. Beushausen, (2011) Bonded Cement-Based Material Overlays for the Repair, the Lining or the Strengthening of Slabs or Pavements. RILEM State of the Art Reports, Springer Netherlands.
- J. Carlswärd, (2006) Shrinkage cracking of steel fibre reinforced self-compacting concrete overlays: test methods and theoretical modelling. Dissertation, Lulea University of Technology, Lulea, Sweden,
- S.A. Kristiawan, Performance criteria to assess shrinkage cracking tendency in concrete overlay. Procedia Engineering, Elsevier Ltd, 54, (2013) 82–100. https://doi.org/10.1016/j.proeng.2013.03.008
- H. Beushausen, A parameter study on the age at cracking of bonded concrete overlays subjected to restrained shrinkage. Materials and Structures/Materiaux et Constructions, 49(5),1905–1916. https://doi.org/10.1617/s11527-015-0622-6
- M. Raupach, Forschung auf dem Gebiet des Bauinstandsetzens – Derzeitige Ansätze und zukünftige Aufgaben / Research in the Field of Repair - Actual Approaches and Future Needs. Restoration of Buildings and Monuments, 15(4), 239–254. https://doi.org/10.1515/rbm-2009-6303
- N.R.J. Baldwin, E.S. King, (2003). Field Studies of the Effectiveness of Concrete Repairs: Phase 4 Report: Analysis of the Effectiveness of Concrete Repairs and Project Findings. Health and Safety Executive.
- ASCE, (2009), 2009 Report Card/or America’s Infrastructure. Washington DC.
- K. Kuder, J. Berman, G. Hannesson, and R. Shogren, Mechanical Properties of Self Consolidating Concrete Blended with High Volumes of Fly Ash and Slag. Construction and Building Materials, 34, (2012) 285–295. https://doi.org/10.1016/j.conbuildmat.2012.02.034
- M.A. Megat Johari, J.J. Brooks, S. Kabir, P. Rivard, Influence of supplementary cementitious materials on engineering properties of high strength concrete. Construction and Building Materials, 25(5), 2639–2648. https://doi.org/10.1016/j.conbuildmat.2010.12.013
- P. Chindaprasirt, C. Jaturapitakkul, T. Sinsiri, Effect of lfyash on compressive strength and pore size refinement of blended cement paste. Cement and Concrete Composites, 27(4), (2005) 425–428. https://doi.org/10.1016/j.cemconcomp.2004.07.003
- H.H. Nassif, H. Najm, N. Suksawang, Effect of pozzolanic material and curing methods on the Elastic Modulus of HPC. Cem Concr Compos, 27(6), (2004) 661–670. https://doi.org/10.1016/j.cemconcomp.2004.12.005
- C136 Standard Test Method for Sieve Analysis of Fine and Coarse Aggregates. Accessed: Feb. 12, 2024. [Online]. Available: https://www.astm.org/standards/c136
- BS 8110-1-1997, “Structural use of concrete-Part 1: Code of practice for design and construction ICS 91.080.40,” British Standard (BSI), vol. 2, pp. 1–168, 2005.
- BS 8110-1-1997, Structural use of concrete-Part 1: Code of practice for design and construction British Standard (BSI), 2, (2005) 1–168.
- “C157 Standard Test Method for Length Change Of Hardened Cement Mortar And Concrete.” Accessed: Feb. 14, 2024. [Online]. Available: https://www.astm.org/standards/c157
- K.R. Kordina, G. Mancini, K. Schäfer, A. Schieβl, K. Zilch, fib Bulletin 54. Structural Concrete Textbook on behaviour, design and performance Second edition Volume 4,” Oct. 2010, https://doi.org/10.35789/fib.BULL.0055
- “BS EN 1992 - Eurocode 2. Design of concrete structures.” Accessed: Feb. 12, 2024. [Online].
- W. Wang, J. Gong, New relaxation function and age-adjusted effective modulus expressions for creep analysis of concrete structures. Engineering Structures, 188, (2019) 1-10. https://doi.org/10.1016/j.engstruct.2019.03.009
- Y.Y. Kim, K.M. Lee, J.W. Bang, S. J. Kwon, Effect of W/C ratio on durability and porosity in cement mortar with constant cement amount. Advances in Materials Science and Engineering, 2014, (2014). https://doi.org/10.1155/2014/273460
- S. Shahbazpanahi, M.K. Tajara, R.H. Faraj, A. Mosavi, Studying the C–H crystals and mechanical properties of sustainable concrete containing recycled coarse aggregate with used nano-silica. Crystals (Basel), 11(2), (2021) 122. https://doi.org/10.3390/cryst11020122
- S. Fallah, M. Nematzadeh, Mechanical properties and durability of high strength concrete containing macropolymeric and polypropylen fibres with nnanosilica and silica fume. Construction and Building Materials, 132, (2016) 170–187. https://doi.org/10.1016/j.conbuildmat.2016.11.100
- Y. Li, Y. Liu, R. Wang, Evaluation of the elastic modulus of concrete based on identation test and multi-scale homogenization method. Journal of Building Engineering,43, (2021) 102758. https://doi.org/10.1016/j.jobe.2021.102758
- A.C. Muller, K.L. Scrivener, J. Skibsted, A.M. Gajewicz, P.J. McDonald, influence of silica fume on the microstructure of pastes. Cement and Concrete Research, 74 (2015) 116–125. https://doi.org/10.1016/j.cemconres.2015.04.005
- J.J. Brooks, Shrinkage of Concrete. Concrete and Masonry Movements, (2015)137–185. https://doi.org/10.1016/B978-0-12-801525-4.00006-6
- M. Collepardi, A. Borsoi, J.J. Olagot, R. Troli, Effects of shrinkage compenating concrete unde non-wet curing conditions. Cement and Concrete Composites, (2004), 704–708. https://doi.org/10.1016/j.cemconcomp.2004.09.020
- P. Alidoust, S. Goodarzi, A. Tavana Amlashi, L. Sadowski, Comparative analysis of soft computing techniques in predicting the compressive and tensile strength of seashell containing concrete. European Journal of Environmental and Civil Engineering, 27(5), (2022) 1853-1875. https://doi.org/10.1080/19648189.2022.2102081
- J. Abellán García, J. Fernández Gómez, N. Torres Castellanos, Properties prediction of environmentally friendly ultra-high-performance concrete using artificial neural networks. European Journal of Environmental and Civil Engineering, 26(6), (2022) 2319–2343. https://doi.org/10.1080/19648189.2020.1762749
- P. Chopra, R.K. Sharma, M. Kumar, Prediction of Compressive Strength of Concrete Using Artificial Neural Network and Genetic Programming. Advances in Materials Science and Engineering, 2016, (2016). https://doi.org/10.1155/2016/7648467
- C.T. Leondes, (2003) Intelligent systems: technology and applications. CRC Press.
- S. Kekez, J. Kubica, Application of artificial neural networks for prediction of mechanical properties of cnt/cnf reinforced concrete. Materials, 14(19), (2021). https://doi.org/10.1155/2016/7648467
- A. Ravi Theja, M. Srinivasula Reddy, B.B. Jindal, C. Sashidhar, Predicting the Strength Properties of Self-Healing Concrete Using Artificial Neural Network. Journal of Soft Computing in Civil Engineering, 7(1), (2023) 56–71. https://doi.org/10.1142/5249-vol2
- G. Shmueli, P.C. Bruce, M.L. Stephens, N.R. Patel, (2017) Data mining for business analytics: concepts, techniques, and applications, R. John Wiley & Sons.
- D.P. Kingma, J.L. Ba, (2015) ADAM:A Method for Stochastic Optimization. Cornell University, arxiv. https://doi.org/10.48550/arXiv.1412.6980
- F. Pedregosa, G. Varoquaux, A. Gramfort, V. Michel, B. Thirion, O. Grisel, M. Blondel, P. Prettenhofer, R. Weiss, V. Dubourg, J. Vanderplas, A. Passos, D. Cournapeau, M. Brucher, M. Perrot, E. Duchesnay, Scikit-learn:Machine Learning in Python. Journal of Machine Learning Research, 12, (2011) 2825-2830.
- K.O. Achieng, Modelling of soil moisture retention curve using machine learning techniques: Artificial and deep neural networks vs support vector regression models. Computers & Geosciences, 133, (2019) 104320. https://doi.org/10.1016/j.cageo.2019.104320
- B.B. Sabir, (1995) High-strength condensed silica fume concrete. Magazine of Concrete Research, 47(172), 219-226. https://doi.org/10.1680/macr.1995.47.172.219
- S.H. Alsayed, Influence of Superplasticizer, Plasticizer, And Silica Fume on The Drying Shrinkage of High-Strength Concrete Subjected to Hot-Dry Field Conditions. Cement and Concrete Research, 28(10), (1998) 1405-1415. https://doi.org/10.1016/S0008-8846(98)00102-1
- P. Pipilikaki, M. Katsioti, Study of the hydration process of quaternary blended cements and durability of the produced mortars and concretes. Construction and Building Materials, 23(6), (2009) 2246–2250. https://doi.org/10.1016/j.conbuildmat.2008.11.015
- K. Githachuri, M.G. Alexander, Durability performance potential and strength of blended Portland limestone cement concrete. Cement and Concrete Composites, 39, (2013) 115–121. https://doi.org/10.1016/j.cemconcomp.2013.03.027
- N. Dave, A.K. Misra, A. Srivastava, A.K. Sharma, S.K. Kaushik, Study on quaternary concrete micro-structure, strength, durability considering the influence of multi-factors. Constr Build Mater, 139, (2017) 447–457. https://doi.org/10.1016/j.conbuildmat.2017.02.068
- H. Cheng-Yi, R.F. Feldman, (1985) Hydration reactions in Portland cement-silica fume blends. Cement and Concrete Research, 15(4), 585-592. https://doi.org/10.1016/0008-8846(85)90056-0
- M.C. Garci Juenger, H.M. Jennings, Examining the relationship between the microstructure of calcium silicate hydrate and drying shrinkage of cement pastes. Cement and Concrete Research, 32(2), (2002) 289–296. https://doi.org/10.1016/S0008-8846(01)00673-1
- Z. Wan, T. He, N. Chang, R. Yang, H. Qiu, Effect of silica fume on shrinkage of cement-based materials mixed with alkali accelerator and alkali-free accelerator. Journal of Materials Research and Technology, 22, (2023) 825–837. https://doi.org/10.1016/j.jmrt.2022.11.110
- M. Liska, A. Wilson, J. Bensted, Special Cements, Lea’s Chemistry of Cement and Concrete, (2019) 585–640. https://doi.org/10.1016/B978-0-08-100773-0.00013-7
- S. Nagataki, H. Gem, (1998) Expansive admixtures (mainly ettringite). Cement and Concrete Composites, 20(2-3), 163-170. https://doi.org/10.1016/S0958-9465(97)00064-4
- H. Il Suk, An Introduction to Neural Networks and Deep Learning. Deep Learning for Medical Image Analysis, (2017) 3–24. https://doi.org/10.1016/B978-0-12-810408-8.00002-X
- E. Hassan, M.Y. Shams, N.A. Hikal, S. Elmougy, The effect of choosing optimizer algorithms to improve computer vision tasks: a comparative study. Multimedia Tools and Applications, 82, (2022) 16591–16633. https://doi.org/10.1007/s11042-022-13820-0
- P. Manikandan, V. Vasugi, Potential utilization of waste glass powder as a precursor material in synthesizing ecofriendly ternary blended geopolymer matrix. Journal of Cleaner Production, 355, (2022) 131860. https://doi.org/10.1016/j.jclepro.2022.131860