Abstract
The addition of polymer modifiers to bitumen has been discovered to effectively improve the rutting performance of asphalt mixtures. However, the understanding of the mechanism underlying its rutting resistance is of crucial importance. This study utilized an impressive machine learning approach based on Gaussian process regression (GPR) to predict the rutting potential of asphalt mixtures modified with polyethylene waste dust. To design the experimental setup, a Taguchi orthogonal array was utilized, incorporating three factors with three levels, to predict indirect tensile strength (ITS) and Marshall quotient (MQ) which simulate rutting potential. The results obtained from the performance evaluation of the GPR model indicated coefficient of determination (R2) and root mean square error values of 0.96 and 1.826 for MQ while ITS indicated 0.969 and 0.027 for testing sets. Moreover, the sensitivity analysis of the model showed that bitumen content is the most significant factor for predicting rutting performance of modified mixtures using MQ, while mixture type is the most sensitive variable when the ITS method is deployed to evaluate rutting.
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References
Abtahi S, Sheikhzadeh M, Hejazi S (2010) Fibre-reinforced asphalt concrete—a review. Constr Build Mater 24(16):871–877
Abu Abdo A, Jung S (2016) Effects of asphalt mix design properties on pavement performance: a mechanistic approach. Adv Civ Eng. https://doi.org/10.1155/2016/9354058,1-7
Alatas T, Yilmaz M (2013) Effects of different polymers on mechanical properties of bituminous binders and hot mixtures. Constr Build Mater 42(16):1–7
ASTM C1252 (2017) American society for testing and materials, Standard test method for uncompacted void content of fine aggregate. Pennsylvania
ASTM C127 (2016) American society for testing and materials, Standard test method for relative density and absorption of coarse aggregate. Pennsylvania, USA
ASTM C128 (2016) Americn society for testing and materials, Standard test method for density, relative density and absorption of fine aggregate. Pennsylvania, USA
ASTM C131 (2010) American society for testing and materials, Standard test method for resistance to degradation of small-size coarse aggregate by abrasion and impact in the Los Angeles machine. Pennsylvania, USA
ASTM C142 (2017) American society for testing and materials, Standard test method for clay lumps and friable particles. Pennsylvania
ASTM C88 (2018) American society for testing and materials, Standard test method for soundness of aggregates. Pennsylvania, USA
ASTM D1238 (2013) American society for testing and materials, Standard test method for melt flow rates of themoplastic by extrusion plastomer. Pennsylvania, USA
ASTM D2419 (2022) American society for testing and materials, Standard test method for equivalent value soil and fine aggregates. Pennsylvania
ASTM D3418 (2021) American society for testing and materials, Standard test methof for transition temperatures and enthalpies and fusion crystallization of polymers by differential scanning calorimetry. Pennsylvania, USA
ASTM D3515 (2021) American Society for Testing and Materials, Standard Test Method for Hot- Mixed, Bituminous Paving Mixtures. Pennsylvania, USA
ASTM D36 (2006) American Society for Testing and Materials, Standard test methods for softening point of bitumen (Fing and ball apparatus). Pennsylvania USA
ASTM D4402 (2022) American society for testing and materials, Standard test method for viscosity determination of asphalt at elevated temperatures using rotational viscometer. Pennsylvania
ASTM D4791 (2010) American society for testing and materials, Standard test method for flat particles, elongated particles. Pennsylvania, USA
ASTM D4883 (2018) American society for testing and materials, Standard test method for density of polyethylene by the ultrasound technique. Pennsylvania, USA
ASTM D5 (2006) American Society for Testing and Materials, Standard test methods for penetration of bituminous materials. Pennsylvania USA
ASTM D5581 (2021) American Society for Testing and Materials, Standard Test Method for Resistance to Plastic Flow of Bituminous Mixtures Using Marshall Apparatus. Pennsylvania, USA
ASTM D5821 (2017) American society for testing and materials, Standard test method for determing the percentage of fractured particles in coarse aggregate. Pennsylvania, USA
ASTM D6927 (2017) American Society for Testing and Materials, Standard Test Method for Marshall Stability and Flow of Bituminous Mixtures. West Conshohocken, USA
ASTM D70 (2003) American society for testing and materials, Standard test method for density of semi solid bituminous materials (Pycnometer method). Pennsylvania, USA
ASTM D92 (2020) American society for testing and materials, Standard test method for determination of flash point using a Prensky-martens closed-up apparatus. Pennsylvania, USA
Azarhoosh A, Hamedi G, Abandansan H (2018) Providing laboratory rutting models for modified asphalt mixes with different waste materials. Periodica Polytech Civ Engineering 62(2):308–317
Baghaee T, Karian M, Abdelaziz M (2011) A review on fatigue and rutting performance of asphalt mixtures. Sci Res Essays 6(4):670–682
Baize A, Ahmadi H, Shariatmadari F, Karimi torshizi M (2020) A Gaussian process regression model to predict energy contents of corn for poultry. Poultry Sci. https://doi.org/10.1016/j.psj.2020.07.004
Behnood A, Ameri M (2012) Experimental investigation of stone matrix asphalt mixtures containing steel slag. Sci Iran 19:1214–1219. https://doi.org/10.1016/j.scient.2012.07.007
Behnood A, Gharehwaran M (2009) Morphology, rheology, and physical properties of polymer-modified asphalt binder. Eur Polym J 766–791
Chen Y, Yang H, Wang X, Zhang S, Chen H (2012) Biomass-base pyrolytic polygeneration system on cotton stalk pyrolysis : Influence of temperature. Bioresur Technol 107:411–418
Christensen D, Bonaquist R, Jack D (2000a) Evaluation of triaxial strength as a simple test for asphalt concrete rut resistance. Transportation Research Board, Pennsylvania
Christensen D, Bonaquist R, Jack D (2000b) Evaluation of triaxial strenth as a simple test for asphalt concrete rut resistance.Transportation Research Board, Pennsylvania
Esmaeil A, Majid Z, Mohamed R, Mahrez A, Payam S (2011) Using Waste Plastic bottles as additive for ston mastic asphalt. Mater Des 32(10):4844–4849
Fontes L, Triches G, Pais J, Pereira P (2010) Evaluating permanent deformation in asphalt rubber mixtures. Construc Build Mater 12: 1193–1200. https://doi.org/10.1016/j.combuildmat.2009.12.021
Gorkem C, Sengoz B (2009) Predicting strip** and moisture induced damage of asphalt concrete prepared with polymer modified bitumen and hydrated lime. Construct Build Mater 23(6):2227–2236
Isabona J, Ojuh D (2021) Machine learning based on kernel function controlled GAUSSIAN process regression method for in-depth extrapolative analysis of covid-19 daily cases drift rates. Int J Math Sci Comput 7(2):14–23
Isacsson U, Zeng H (1998) Low-temperature cracking of polymer-modified asphalt. Mater Struct 31(1):58–63
Ismael M, Joni H, Fattah M (2022) Neural network modeling of rutting performance for sustainable asphalt mixtures modified by industrial waste alumina. Ain Shams Eng J. https://doi.org/10.1016/j.asej.2022.101972,101972
Jakel F, Scholkopf B, Wichmann F (2007) Atutorial on kernel methods for categorization. J Math Psychol 51(6):343–358
Khattak M, Baladi G (2001) Paving asphalt polymer blends: relationships between composition, structure and properties. Transportation Research Board Annual Meeting, Washington D.C
Kumar-Karna S, Sahai R (2012) An overview on Taguchi method. Int J Math Eng Manag Sci 1–7
Liang M, **n X, Fan W, Jiang H, Yao Z (2009) Comparison of rheological properties of compactibility of asphalt modified with various polyethylene. Int J Pavement Eng 22(2):1–10
Liang M, **n X, Fan W, Jiang H, Yao Z (2019) Comparison of rheological properties of compactability of asphalt modified with various polyethylene. Int J Pavement Eng 22(2):1–10
Lidia Sarah C, Palamara R, Leonardi GNM (2017) 3D-FEM analysis of geogrid reinforced flexible pavement roads. IOP Conf Ser Earth Environ Sci 95(2):022024
Majidifard H, Jahangiri B, Rath P, Urra L, Buttlar W, Alavi A (2020) Develo** a prediction model for rutting depth of asphalt mixtures using gene expression programming. Construct Build Mater. https://doi.org/10.1016/j.conbuildmat.2020.120543
Mehta A, Siddique R, Pratap B, Aggoun S, Łagód G, Barnat-hunek D (2017) Influence of various parameters on strength and absorption properties of fly ash based geopolymer concrete designed by Taguchi method. Construct Build Mater 150:817–824
Nallamothu S (2003) Evaluation of binders grades on rutting performance. Morgantowm. Masters thesis Submitted to the Department of Civil Engineering, West Virginia University
Nandiyanto A, Oktiani R, Ragadhita R (2019) How to read and interpret FTIR spectroscope of organic material. Indones J Sci Technol 4:97–118
Ponniah J, Kennepohl G (1996) Polymer-modified asphalt pavements in Ontario: performance and cost-effectiveness. Transp Res Rec J Transp Res Board 1545(1):51–60
Prasad V, Prakash E, Abishek M, Dev K, Kiran C (2018) study on concrete containing waste foundry sand, fly ash and polypropylene fibre using Taguchi method. Mater Today Proc 23964–23973
Rafiqul A (2003a) Laboratory and model prediction of rutting in asphalt concrete. Oklahoma, Ph.d. thesis of University of Oklahoma Graduate College
Rafiqul AT (2003b) Laboratory and model prediction of rutting in asphalt concrete. Norman, Ph.d. thesis of University of Oklahoma Graduate College
Rasmussen P, Madsen K, Lund T, Hansen L (2011) Visualization of nonlinear kernel models in neuroimaging by sensitivity maps. Neuroimage 55:1120–1131
Roberts F, Kandhal P, Browm E (1996a) Hot mix asphalt materials, mixture design, and construction. NAPA Education Foundation, Maryland
Roberts F, Kandhal P, Brown E (1996b) Hot mix asphalt materials, mixture design, and construction. NAPA Education Foundation, Lanhamn
Shafabakhsh G, Ani O, Talebsafa M (2015) Artificial neural network modelling (Ann) for predicting rutting performance of nano-modified hot-mix asphalt mixtures containing steel slag aggregates. Construct Build Mater. https://doi.org/10.1016/j.conbuildmat.2015.03.060
Siti SL ( 2011) Styrofoam waste as bitumen modifier in hot mix asphaltic concrete. Petronas, Malaysia, Bachelor thesis, Universiti Teknologi Petronas, Malaysia
Speight J (2015) Asphalt materials science and technology. Elsevier, Chicago
Stephanie F, Mike O, Ben T, John Z (2021) Design of experiments via taguchi methods-orthogonal arrays. University of Michigan, Michigan
Sultan S, Guo Z (2017) Evaluating the performance of sustainable perpetual pavements using recycled asphalt pavement in China. Int J Transp Sci Technol 5(3):200–209
Taherkhani H (2006) Experimental characterisation of the compressive permanent deformation behaviour in asphaltic mixtures. Nottingham, Doctoral dissertation submitted to the Department of Civil Engineering, University of Nottingham
Tapkin S, Cevik A, Ozcan S (2012a) Utilizing neural networks and closed form solutions to determine Static creep behaviour and optimal polypropylene amount in Bituminious mixtures. Mater Res 15(6):865–883
Tapkin S, Cevik A, Usar U (2012b) Prediction of rutting potential of dense bituminous mixtures with polypropylene fibre via repeated creep test by using neuro-fuzzy. Periodica Polytech Civ Eng 56(2):253–266
Tapkin S, Cevik A, Usar U, Gulsan E (2013) Rutting prediction of asphalt mixtures modified by polyproylene fibres via repeated creep testing by utilising genetic programming. Mater Res 16(2):277–292
Usman G (2020) How to use Residual Plots for regression model validation. Towards Data Science
Uwanuakwa I, Ali S, Hasan M, Akpinar P, Sani A, Shariff K (2020) Artificial intelligence prediction of rutting and fatigue parameters in modified asphalt binders. Appl Sci. https://doi.org/10.3390/app10217764
Von Quintus H, Mallela J, Buncher M (2007) Quantification of effect of polymer-modified asphalt on flexible Pavement performance. Transp Res Rec J Transp Res Board 2001(1):41–54
**ongwei D, Yanshun J, Shaoquan W, Ying G (2020a) Evaluation of rutting performance of field specimen using the hamburg wheel-tracking test and dynamic modulus test. Adv Civ Eng Article ID 9525179
**ongwei D, Yanshun J, Shaoquan W, Ying G (2020b) Evaluation of rutting performance of field specimen using the hamburg wheel-tracking test and dynamic modulus test. Adv Civ Eng. https://doi.org/10.1155/2020/9525179
**-zhao W, Qing-Yan S, Qing M, Jun-hai Z (2013) Arhitectural Selection for networks trained with extreme learning machine using localized generalization error model. Neurocomputing 102:3–9. https://doi.org/10.1016/j.neucom.2011.12.053
Zieliński P (2019) Indirect tensile test as a simple method for rut resistance evaluation of asphalt concrete. Arch Civ Eng 65:31–44. https://doi.org/10.2478/ace-2019-0032
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The authors acknowledge support from Cafmeg Laboratory, Shelter Afrique, Nigeria through the use of their laboratory in conducting this research.
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Usanga, I.N., Ikeagwuani, C.C., Etim, R.K. et al. Predictive Modeling of Modified Asphalt Mixture Rutting Potentials: Machine Learning Approach. Iran J Sci Technol Trans Civ Eng 47, 4087–4101 (2023). https://doi.org/10.1007/s40996-023-01192-w
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DOI: https://doi.org/10.1007/s40996-023-01192-w