Abstract
The growing volume of industrial and electronic waste has intensified the need for sustainable material management strategies. Among these waste streams, cathode-ray-tube (CRT) glass is of particular concern due to its high density and lead-bearing composition, which typically contains about 20–25 wt.% lead oxide. Using recycled CRT glass (RCRT) as a fine aggregate in cementitious mixtures offers a practical means of reducing landfill disposal while enhancing mortar performance. However, the mechanical behavior of RCRT-containing mortars has not been sufficiently modeled, thereby constraining the optimized design of such sustainable mixtures. In this study, two white-box, soft-computing techniques, the Group Method of Data Handling (GMDH) and Gene Expression Programming (GEP), were developed to predict the compressive strength of mortars incorporating RCRT. The database consisted of 139 laboratory specimens, and the machine-learning models were trained using the following input variables: water-to-binder ratio (w/b), water content, cement content (CC), fly ash, sand content, RCRT content, and curing time (CT). The GMDH model demonstrated superior predictive performance, achieving an R2 of 0.942 with RMSE and MAE values of 2.97 and 2.59, respectively. In contrast, the GEP model produced higher error levels (RMSE = 6.94 and MAE = 5.28). These findings indicate that transparent, data-driven modeling can capture the nonlinear interactions governing strength development in RCRT-modified mortars and provides a reliable basis for designing sustainable, dense, and mechanically efficient mixtures suitable for both conventional and radiation-shielding applications.
Data availability
The datasets generated and/or analyzed during the current study are available from the corresponding author on reasonable request.
References
Miraldo, S., Lopes, S., Lopes, A. V. & Pacheco-Torgal, F. Design of fly ash-based alkali-activated mortars, containing waste glass and recycled CDW aggregates, for compressive strength optimization. Materials 15(3), 1204 (2022).
Liu, T., Wei, H., Zou, D., Zhou, A. & Jian, H. Utilization of waste cathode ray tube funnel glass for ultra-high performance concrete. J. Clean. Prod. 249, 119333 (2020).
Anwar, M. K., Zhu, X., Gilabert, F. A. & Siddiq, M. U. Recycling and optimum utilization of CRT glass as building materials: An application of low CO₂ based circular economy for sustainable construction. Constr. Build. Mater. 453, 138798 (2024).
Zhao, H. & Poon, C. S. A comparative study on the properties of the mortar with the cathode ray tube funnel glass sand at different treatment methods. Constr. Build. Mater. 148, 900–909 (2017).
Ling, T. C. & Poon, C. S. Utilization of recycled glass derived from cathode ray tube glass as fine aggregate in cement mortar. J. Hazard. Mater. 192(2), 451–456 (2011).
Ling, T. C. & Poon, C. S. A comparative study on the feasible use of recycled beverage and CRT funnel glass as fine aggregate in cement mortar. J. clean. Prod. 29, 46–52 (2012).
Ling, T. C. & Poon, C. S. Effects of particle size of treated CRT funnel glass on properties of cement mortar. Mater. Struct. 46, 25–34 (2013).
Mahmoud, A. A., El-Sayed, A. A., Aboraya, A. M., N. Fathy, I., & Nabil, I. M. Enhancing predictive accuracy of nano-additive concrete gamma ray attenuation at high temperatures using AI-based models. Neural Comput. Appl. 1-34 (2025).
Mahmoud, A. A., El‐Sayed, A. A., Aboraya, A. M., Fathy, I. N., Zygouris, N., Sadollah, A., & Asteris, P. G. Synergizing machine learning and experimental analysis to predict post‐heating compressive strength in waste concrete. Struct. Concr. (2025).
Abouelnour, M. A. et al. Valorization of nano additives effects on the physical, mechanical and radiation shielding properties of high strength concrete. Sci. Rep. 15(1), 14440 (2025).
Mahmoud, A. A. et al. Evaluation of rice husk biochar influence as a partial cement replacement material on the physical, mechanical, microstructural, and radiation shielding properties of ordinary concrete. Sci Rep. 15(1), 27229 (2025).
Fattouh, M. S. et al. Impact of modified aggregate gradation on the workability, mechanical, microstructural and radiation shielding properties of recycled aggregate concrete. Sci. Rep. 15(1), 18428 (2025).
Choi, S. Y., Choi, Y. S. & Yang, E. I. Effects of heavy weight waste glass recycled as fine aggregate on the mechanical properties of mortar specimens. Annal. Nucl. Energy 99, 372–382 (2017).
Ling, T. C., Poon, C. S., Lam, W. S., Chan, T. P. & Fung, K. K. L. Utilization of recycled cathode ray tubes glass in cement mortar for X-ray radiation-shielding applications. J. Hazard. Mater. 199, 321–327 (2012).
Bentegri, H. et al. Assessment of compressive strength of eco-concrete reinforced using machine learning tools. Sci. Rep. 15(1), 5017 (2025).
Ghazavi, M. & Afrakoti, M. T. P. Unconfined compressive strength prediction of soils improved with biopolymers: Machine learning approach. Transp. Infrastruct. Geotechnol. 12(1), 1–32 (2025).
Dong, Y., Tang, J., Xu, X., Li, W., Feng, X., Lu, C. & Liu, J. A new method to evaluate features importance in machine-learning based prediction of concrete compressive strength. J. Build. Eng. 111874 (2025).
Liu, Y. et al. Intelligent prediction of compressive strength of concrete based on CNN-BiLSTM-MA. Case Stud. Constr. Mater. 22, e04486 (2025).
Lu, C., Zhou, C., Yuan, S., Zhang, H., Qian, H. & Fang, Y. Data-driven compressive strength prediction of basalt fiber reinforced rubberized concrete using neural network-based models. Mater. Today Commun. 111706 (2025).
de Prado Gil, J., Palencia, C., Jagadesh, P. & Martínez-García, R. A study on the prediction of compressive strength of self-compacting recycled aggregate concrete utilizing novel computational approaches. Materials 15(15), 5232 (2022).
de Prado-Gil, J. et al. To determine the compressive strength of self-compacting recycled aggregate concrete using artificial neural network (ANN). Ain. Sham. Eng. J. 15(2), 102548 (2024).
Jagadesh, P., de Prado-Gil, J., Silva-Monteiro, N. & Martinez-Garcia, R. Assessing the compressive strength of self-compacting concrete with recycled aggregates from mix ratio using machine learning approach. J. Mater. Res. Technol. 24, 1483–1498 (2023).
de Prado-Gil, J., Palencia, C., Jagadesh, P. & Martínez-García, R. A comparison of machine learning tools that model the splitting tensile strength of self-compacting recycled aggregate concrete. Materials 15(12), 4164 (2022).
Ghazavi, M., Rouhani, M. & Khoshghalb, A. Analytical method for estimating the bearing capacity of stone column groups. Int. J. Geomech. 25(8), 04025164 (2025).
Ghazavi, M., Rouhani, M. & Khoshghalb, A. Evaluation of the methods used for estimating the bearing capacity of stone columns. Transport. Geotech. 49, 101405 (2024).
Anyaoha, U., Zaji, A. & Liu, Z. Soft computing in estimating the compressive strength for high-performance concrete via concrete composition appraisal. Constr. Build. Mater. 257, 119472 (2020).
Asteris, P. G., Skentou, A. D., Bardhan, A., Samui, P. & Lourenço, P. B. Soft computing techniques for the prediction of concrete compressive strength using Non-Destructive tests. Constr. Build. Mater. 303, 124450 (2021).
Yang, Y., Tao, Y., Jiang, T. & Zhao, W. Prediction of bent corner strength of FRP reinforcement based on genetic algorithm. Constr. Build. Mater. 449, 138357 (2024).
Alotaibi, K. S. & Almohammed, F. Forecasting interfacial bond strength in FRP-reinforced concrete using soft computing techniques. Constr. Build. Mater. 473, 140827 (2025).
Ahmad, S. A. et al. Exploring the influence of waste glass granular replacement on compressive strength in concrete mixtures: A normalization and modeling study. J. Build. Pathol. Rehabil. 9(1), 52 (2024).
Feridoni, P., Seyedkazemi, A., Kutanaei, S. S. & Davoudi-Kia, A. Modeling and sensitivity analysis of the compressive strength of recycled brick aggregates concrete using GMDH, GEP and RSM methods. Result. Eng. 104891 (2025).
Hoseini, S., Seyedkazemi, A., Davoudi-Kia, A. & Kutanaei, S. S. A data mining approach for proposing a relationship to predict self-compaction concrete crack width after the self-healing period. Result. Eng. 104980 (2025).
Zhang, Y. et al. Predicting the compressive strength of high-performance concrete using an interpretable machine learning model. Sci. Rep. 14(1), 28346 (2024).
Aksu, G., Güzeller, C. O. & Eser, M. T. The effect of the normalization method used in different sample sizes on the success of artificial neural network model. Int. J. Assess. Tool. Educ. 6(2), 170–192 (2019).
Safieh, H. et al. Using multiple machine learning models to predict the strength of uhpc mixes with various fa percentages. Infrastructures 9(6), 92 (2024).
Raju, M. R. et al. A comparative analysis of machine learning approaches for evaluating the compressive strength of pozzolanic concrete. IUBAT Rev. 7(1), 90–122 (2024).
Ivakhnenko, A. G. Polynomial theory of complex systems. IEEE Transac. Syst. Man. Cybern. 4, 364–378 (2007).
Farlow, S. J. The GMDH algorithm. In Self-organizing methods in modeling 1-24 CrC Press (2020).
Ivakhnenko, A. G. & Ivakhnenko, G. A. The review of problems solvable by algorithms of the group method of data handling (GMDH). Pattern. Recognit. Image Anal. c/c Raspozn. Obrazov. I Analiz. Izobr. 5, 527–535 (1995).
Babin, A. S., Baryshnikov, M. I. & Gapanyuk, Y. E. Group Method of Data Handling (GMDH) in Forecasting Electric Power Consumption. In 2025 7th International Youth Conference on Radio Electronics, Electrical and Power Engineering (REEPE) 1-6 (IEEE, 2025).
Dahish, H. A. et al. Predicting the compressive strength of waste powder concrete using response surface methodology and neural network algorithm. Building 15(21), 3934 (2025).
Fathy, I. N., Dahish, H. A., Alkharisi, M. K., Mahmoud, A. A. & Fouad, H. E. E. Predicting the compressive strength of concrete incorporating waste powders exposed to elevated temperatures utilizing machine learning. Sci. Rep. 15(1), 25275 (2025).
Zeyad, A. M. et al. Compressive strength of nano concrete materials under elevated temperatures using machine learning. Sci. Rep. 14(1), 24246 (2024).
Fereidouni, P., Seyedkazemi, A., Kutanaei, S. S. & Davoudi-Kia, A. Modeling and sensitivity analysis of the compressive strength of recycled brick aggregates concrete using GMDH, GEP and RSM methods. Result. Eng. 26, 104891 (2025).
Hosseini, S., Seyedkazemi, A., Davoudi-Kia, A. & Kutanaei, S. S. A data mining approach for proposing a relationship to predict self-compaction concrete crack width after the self-healing period. Result. Eng. 26, 104980 (2025).
Akossou, A. Y. J. & Palm, R. Impact of data structure on the estimators R-square and adjusted R-square in linear regression. Int. J. Math. Comput. 20(3) (2013).
Fallahi, S., Shaverdi, M. & Bashiri, V. GMDH-Type Neural Network and Genetic Algorithm. May 2, 2013 14: 6 BC: 8831-Probability and Statistical Theory PSTws, 267 (2015).
Ferreira, C. Gene expression programming: a new adaptive algorithm for solving problems. arXiv preprint cs/0102027 (2001).
Ghanizadeh, A. R., Safi Jahanshahi, F. & Naser Alavi, S. Application of gene expression programming for modeling bearing capacity of aggregate pier reinforced clay. Int. J. Min. Geo-Eng. 58(1), 113–119 (2024).
Ferreira, C. Gene expression programming: mathematical modeling by an artificial intelligence 21 (Springer, 2006).
Ferreira, C. Gene expression programming and the evolution of computer programs. In Medical Informatics: Concepts, Methodologies, Tools, and Applications 2154-2173 (IGI Global Scientific Publishing, 2009).
Faraz, M. I., Arifeen, S. U., Amin, M. N., Nafees, A., Althoey, F. & Niaz, A. A comprehensive GEP and MEP analysis of a cement-based concrete containing metakaolin. In Structures 53 937 948 (Elsevier, 2023).
Alabduljabbar, H. et al. Predicting ultra-high-performance concrete compressive strength using gene expression programming method. Case Stud. Constr. Mater. 18, e02074 (2023).
Amar, M. N. & Ghahfarokhi, A. J. Prediction of CO2 diffusivity in brine using white-box machine learning. J. Pet. Sci. Eng. 190, 107037 (2020).
MolaAbasi, H., Khajeh, A. & Jamshidi Chenari, R. Use of GMDH-type neural network to model the mechanical behavior of a cement-treated sand. Neural Comput. Appl. 33(22), 15305–15318 (2021).
Ashrafian, A., Gandomi, A. H., Rezaie-Balf, M. & Emadi, M. An evolutionary approach to formulate the compressive strength of roller compacted concrete pavement. Measurement 152, 107309 (2020).
Pham, V. N. Practical formulation for estimating the compressive strength of self-compacting fly ash concrete using gene-expression programming. J. Sci. Technol. Civil Eng. (JSTCE)-HUCE 19(3), 98–109 (2025).
Ahmad, A. et al. Compressive strength prediction via gene expression programming (GEP) and artificial neural network (ANN) for concrete containing RCA. Buildings 11(8), 324 (2021).
Kontoni, D. P. N. et al. Gene expression programming (GEP) modelling of sustainable building materials including mineral admixtures for novel solutions. Mining 2(4), 629–653 (2022).
Aslam, F. et al. Applications of gene expression programming for estimating compressive strength of high-strength concrete. Adv. Civil. Eng. 2020(1), 8850535 (2020).
Elshaarawy, M. K., Alsaadawi, M. M. & Hamed, A. K. Machine learning and interactive GUI for concrete compressive strength prediction. Sci. Rep. 14(1), 16694 (2024).
Wan, Z., Xu, Y. & Šavija, B. On the use of machine learning models for prediction of compressive strength of concrete: Influence of dimensionality reduction on the model performance. Materials 14(4), 713 (2021).
Meng, S., Shi, Z., Xia, C., Zhou, C. & Zhao, Y. Exploring LightGBM-SHAP: Interpretable predictive modeling for concrete strength under high temperature conditions. In Structures 71 108134 (Elsevier 2025).
Shuai, J., Zhang, J., Cui, Z., Yu, D., Libing, J. & Bingquan, S. Compressive strength prediction of machine-made sand concrete based on a bayesian optimization-stacking model. Case Stud. Constr. Mater. e05516 (2025).
Ashraf, M. W. et al. Predicting mechanical properties of sustainable green concrete using novel machine learning: Stacking and gene expression programming. Rev. Adv. Mater. Sci. 63(1), 20240050 (2024).
Shanthi Vengadeshwari, R. et al. SHAP-based prediction and optimization of compressive strength in M30 concrete with dry sewage sludge as fine aggregate replacement. Discov. Mater. 5(1), 183 (2025).
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Vahid Ghorbani, Ali Seyedkazemi (corresponding author) and Saman Soleimani Kutanaei contributed to the preparation of all parts of the article.
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Ghorbani, V., Seyedkazemi, A. & Kutanaei, S.S. Predicting compressive strength of mortars containing recycled CRT glass using GMDH and GEP methods. Sci Rep (2026). https://doi.org/10.1038/s41598-026-36553-8
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DOI: https://doi.org/10.1038/s41598-026-36553-8