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Bond strength prediction of timber-FRP under standard and acidic/alkaline environmental conditions based on gene expression programming

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Abstract

Timber is widely used as a construction material; however, the environmental deterioration of timber is a crucial problem for the construction industry. Fiber-reinforced polymer (FRP) has been considered appropriate and beneficial for the repair and rehabilitation of timber. This study proposes three empirical models using a supervised machine learning method called gene expression programming (GEP) to predict the bond strength between timber and FRP under various environmental conditions. The first empirical model is used to predict bond strength under standard conditions. The two other models are proposed to predict the strength reduction in acidic and alkali solutions. The formulation variables include duration, pH level, mechanical properties of FRP, types of timber and adhesive, and geometry of the specimens. In this regard, the database consisting of 251 test data is collected from previous studies. Eighty percent of the data is used for training the models, and the rest is applied to validation. Both training and validation data pass statistical criteria for all three models. The mean relative error is smaller than 12%, and the minimum R coefficient is 0.9 besides the appropriated root mean squared error (RMSE) and mean absolute error (MAE) values.

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References

  • Abdalla JA, Hawileh R, Al-Tamimi A (2011) Prediction of FRP-concrete ultimate bond strength using artificial neural network. In: 2011 fourth international conference on modeling, simulation and applied optimization. IEEE, pp 1–4. https://doi.org/10.1109/ICMSAO.2011.5775518

  • Alavi AH, Gandomi AH (2011a) A robust data mining approach for formulation of geotechnical engineering systems. Eng Comput 28(3):242–274. https://doi.org/10.1108/02644401111118132

    Article  Google Scholar 

  • Alavi AH, Gandomi AH (2011b) Prediction of principal ground-motion parameters using a hybrid method coupling artificial neural networks and simulated annealing. Comput Struct 89(23–24):2176–2194

    Article  Google Scholar 

  • Aval SB, Ketabdari H, Gharebaghi SA (2017) Estimating shear strength of short rectangular reinforced concrete columns using nonlinear regression and gene expression programming. Structures 12:13–23

    Article  Google Scholar 

  • Babatunde SA (2017) Review of strengthening techniques for masonry using fiber reinforced polymers. Compos Struct 161:246–255

    Article  Google Scholar 

  • Banzhaf W, Nordin P, Keller RE, Francone FD (1998) Genetic programming—an introduction: on the automatic evolution of computer programs and its applications, dpunkt. verlag and Morgan Kaufmann Publishers. Inc., San Francisco, California

  • Bolandi H, Banzhaf W, Lajnef N, Barri K, Alavi AH (2019) An intelligent model for the prediction of bond strength of FRP bars in concrete: a soft computing approach. Technologies 7(2):42

    Article  Google Scholar 

  • Carney P, Myers JJ (2003) Shear and flexural strengthening of masonry infill walls with FRP for extreme out-of-plane loading. In: Architectural engineering 2003: building integration solutions, pp 1–5

  • Daryan AS, Palizi S, Farhoudi N (2019) Optimization of plastic analysis of moment frames using modified dolphin echolocation algorithm. Adv Struct Eng 22(11):2504–2516

    Article  Google Scholar 

  • Daryan AS, Salari M, Farhoudi N, Palizi S (2021) Seismic design optimization of steel frames with steel shear wall system using modified Dolphin algorithm. Int J Steel Struct 21(3):771–786

    Article  Google Scholar 

  • Diab HM, Farghal OA (2014) Bond strength and effective bond length of FRP sheets/plates bonded to concrete considering the type of adhesive layer. Compos B Eng 58:618–624

    Article  CAS  Google Scholar 

  • Ferreira C (2001) Gene expression programming: a new adaptive algorithm for solving problems. arXiv:cs/0102027

  • Frketic J, Dickens T, Ramakrishnan S (2017) Automated manufacturing and processing of fiber-reinforced polymer (FRP) composites: an additive review of contemporary and modern techniques for advanced materials manufacturing. Addit Manuf 14:69–86

    CAS  Google Scholar 

  • Galati N, Tumialan G, Nanni A (2006) Strengthening with FRP bars of URM walls subject to out-of-plane loads. Constr Build Mater 20(1–2):101–110

    Article  Google Scholar 

  • Gandomi AH, Roke DA (2015) Assessment of artificial neural network and genetic programming as predictive tools. Adv Eng Softw 88:63–72

    Article  Google Scholar 

  • Gandomi AH, Alavi AH, Arjmandi P, Aghaeifar A, Seyednour R (2010a) Genetic programming and orthogonal least squares: a hybrid approach to modeling the compressive strength of CFRP-confined concrete cylinders. J Mech Mater Struct 5(5):735–753

    Article  Google Scholar 

  • Gandomi AH, Alavi AH, Sahab MG (2010b) New formulation for compressive strength of CFRP confined concrete cylinders using linear genetic programming. Mater Struct 43(7):963–983

    Article  CAS  Google Scholar 

  • Garg A, Shankhwar K, Jiang D, Vijayaraghavan V, Panda BN, Panda SS (2018) An evolutionary framework in modelling of multi-output characteristics of the bone drilling process. Neural Comput Appl 29(11):1233–1241

    Article  Google Scholar 

  • Golbraikh A, Tropsha A (2002) Beware of q2! J Mol Graph Model 20(4):269–276

    Article  CAS  PubMed  Google Scholar 

  • Kara IF (2011) Prediction of shear strength of FRP-reinforced concrete beams without stirrups based on genetic programming. Adv Eng Softw 42(6):295–304

    Article  Google Scholar 

  • Ketabdari H, Daryan AS, Hassani N (2019) Predicting post-fire mechanical properties of grade 8.8 and 10.9 steel bolts. J Constr Steel Res 162:105735

    Article  Google Scholar 

  • Köroğlu MA (2019) Artificial neural network for predicting the flexural bond strength of FRP bars in concrete. Sci Eng Compos Mater 26(1):12–29

    Article  Google Scholar 

  • Koza JR (1993) Hierarchical automatic function definition in genetic programming. Found Genet Algor 2:297–318

    Google Scholar 

  • Lary DJ, Alavi AH, Gandomi AH, Walker AL (2016) Machine learning in geosciences and remote sensing. Geosci Front 7(1):3–10

    Article  Google Scholar 

  • Lim JC, Karakus M, Ozbakkaloglu T (2016) Evaluation of ultimate conditions of FRP-confined concrete columns using genetic programming. Comput Struct 162:28–37

    Article  Google Scholar 

  • Mashrei MA, Seracino R, Rahman MS (2013) Application of artificial neural networks to predict the bond strength of FRP-to-concrete joints. Constr Build Mater 40:812–821

    Article  Google Scholar 

  • Mitchell TM (1997) Does machine learning really work? AI Mag 18(3):11–11

    Google Scholar 

  • Palizi S, Daryan AS (2021) Critical temperature evaluation of moment frames by means of plastic analysis theory and genetic algorithm. Iran J Sci Technol Trans Civ Eng 1–14

  • Palizi S, Daryan AS (2020) Plastic analysis of braced frames by application of metaheuristic optimization algorithms. Int J Steel Struct 20:1135–1150

    Article  Google Scholar 

  • Raftery GM, Harte AM, Rodd PD (2009) Bond quality at the FRP–wood interface using wood-laminating adhesives. Int J Adhes Adhes 29(2):101–110

    Article  CAS  Google Scholar 

  • Roy PP, Roy K (2008) On some aspects of variable selection for partial least squares regression models. QSAR Comb Sci 27(3):302–313

    Article  CAS  Google Scholar 

  • Saedi Daryan A, Palizi S (2020) New plastic analysis procedure for collapse prediction of braced frames by means of genetic algorithm. J Struct Eng 146(1):04019168

    Article  Google Scholar 

  • Toufigh V, Toufigh V, Saadatmanesh H, Ahmari S (2013) Strength evaluation and energy-dissipation behavior of fiber-reinforced polymer concrete. Adv Civ Eng Mater 2(1):622–636

    Google Scholar 

  • Toufigh V, Yarigarravesh M, Mofid M (2017) Environmental effects on the bond at the interface of fiber-reinforced polymer and masonry brick. J Reinf Plast Compos 36(18):1355–1368

    Article  CAS  Google Scholar 

  • Toufigh V, Yarigarravesh M, Mofid M (2018) The long-term evaluation of FRPs bonded to timber. Eur J Wood Prod 76(6):1623–1636

    Article  CAS  Google Scholar 

  • Wan J, Smith ST, Qiao P, Chen F (2014) Experimental investigation on FRP-to-timber bonded interfaces. J Compos Constr 18(3):A4013006

    Article  Google Scholar 

  • Yarigarravesh M, Toufigh V, Mofid M (2018a) Environmental effects on the bond at the interface between FRP and wood. Eur J Wood Prod 76(1):163–174

    Article  CAS  Google Scholar 

  • Yarigarravesh M, Toufigh V, Mofid M (2018b) Experimental and analytical evaluation of FRPs bonded to masonry-long term. Surf Coat Technol 344:729–741

    Article  CAS  Google Scholar 

  • Yu QL, Glas DJ, Brouwers HJH (2020) Effects of hydrophobic expanded silicate aggregates on properties of structural lightweight aggregate concrete. J Mater Civ Eng 32(6):06020006

    Article  CAS  Google Scholar 

  • Zhang D (ed) (2006) Advances in machine learning applications in software engineering. Igi Global

  • Zoalfakar SH, Elsissy MA, Shaheen YB, Hamada AA (2016) Multiresponse optimization of postfire residual properties of fiber-reinforced high-performance concrete. J Mater Civ Eng 28(10):04016111

    Article  Google Scholar 

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Correspondence to Vahab Toufigh.

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Palizi, S., Toufigh, V. Bond strength prediction of timber-FRP under standard and acidic/alkaline environmental conditions based on gene expression programming. Eur. J. Wood Prod. 80, 1457–1471 (2022). https://doi.org/10.1007/s00107-022-01838-y

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  • DOI: https://doi.org/10.1007/s00107-022-01838-y

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