Previous Article in Journal
Quantitative Assessment of Seismic Retrofit Strategies for RC School Buildings Using Steel Exoskeletons and Localized Strengthening
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Evaluating Factors Influencing Dynamic Modulus Prediction: GRA-MLR Compared with Sigmoidal Modelling for Asphalt Mixtures with Reclaimed Asphalt

1
Faculty of Civil Engineering, Czech Technical University of Prague, 16629 Prague, Czech Republic
2
Polytechnic Department of Engineering and Architecture, University of Udine, 33100 Udine, Italy
3
Faculty of Civil Engineering, Warsaw University of Technology, 00-637 Warsaw, Poland
*
Author to whom correspondence should be addressed.
Infrastructures 2025, 10(10), 269; https://doi.org/10.3390/infrastructures10100269
Submission received: 8 September 2025 / Revised: 25 September 2025 / Accepted: 3 October 2025 / Published: 9 October 2025

Abstract

The dynamic modulus of asphalt mixtures (|E*|) is a key mechanical parameter in the design of road pavements, yet direct laboratory testing is time- and resource-intensive. This study evaluates two predictive models for estimating |E*| using data from 62 asphalt mixtures containing reclaimed asphalt: a grey relational analysis–multiple linear regression (GRA-MLR) hybrid model and a mechanistic sigmoidal model. The results showed that the GRA-MLR model effectively identifies influential variables but achieved moderate predictive accuracy (R2 values varying from 0.4743 to 0.6547). In contrast, the sigmoidal model outperformed across all temperature conditions (R2 > 0.96) and produced predictions deviating by less than ±20% from measured values. Temperature-dependent shifts in factor influence were observed, with stiffness and gradation dominating at low temperatures and reclaimed asphalt (RA) content becoming more significant at higher temperatures. While the GRA-MLR model is advantageous, offering rapid assessments and early-stage evaluations, the sigmoidal model offers the precision suited for detailed design. Integrating both models can balance computational efficiency and provide a balanced strategy, with strong predictive reliability to advance mechanistic–empirical pavement design.
Keywords: dynamic modulus; asphalt mixtures; GRA-MLR; grey relational analysis; multiple linear regression; sigmoidal model dynamic modulus; asphalt mixtures; GRA-MLR; grey relational analysis; multiple linear regression; sigmoidal model

Share and Cite

MDPI and ACS Style

Belhaj, M.; Valentin, J.; Baldo, N.; Król, J.B. Evaluating Factors Influencing Dynamic Modulus Prediction: GRA-MLR Compared with Sigmoidal Modelling for Asphalt Mixtures with Reclaimed Asphalt. Infrastructures 2025, 10, 269. https://doi.org/10.3390/infrastructures10100269

AMA Style

Belhaj M, Valentin J, Baldo N, Król JB. Evaluating Factors Influencing Dynamic Modulus Prediction: GRA-MLR Compared with Sigmoidal Modelling for Asphalt Mixtures with Reclaimed Asphalt. Infrastructures. 2025; 10(10):269. https://doi.org/10.3390/infrastructures10100269

Chicago/Turabian Style

Belhaj, Majda, Jan Valentin, Nicola Baldo, and Jan B. Król. 2025. "Evaluating Factors Influencing Dynamic Modulus Prediction: GRA-MLR Compared with Sigmoidal Modelling for Asphalt Mixtures with Reclaimed Asphalt" Infrastructures 10, no. 10: 269. https://doi.org/10.3390/infrastructures10100269

APA Style

Belhaj, M., Valentin, J., Baldo, N., & Król, J. B. (2025). Evaluating Factors Influencing Dynamic Modulus Prediction: GRA-MLR Compared with Sigmoidal Modelling for Asphalt Mixtures with Reclaimed Asphalt. Infrastructures, 10(10), 269. https://doi.org/10.3390/infrastructures10100269

Article Metrics

Back to TopTop