Geomechanics and Engineering A

Volume 43, Number 3, 2025, pages 155-166

DOI: 10.12989/gae.2025.43.3.155

Application of stacking regressor to predict rock fracture toughness mode-I

Ibrahim Albaijan, Arsalan Mahmoodzadeh, Mokhtar Mohammadi and Hussein Alrobei

Abstract

Predicting the fracture toughness of rocks, particularly under Mode-I loading conditions, is essential for various geotechnical and civil engineering applications. Traditional methods for determining rock fracture toughness (RFT) are often labor-intensive, time-consuming, and prone to inaccuracies due to the inherent variability in rock properties. This study investigates the efficacy of using a stacking regressor, an advanced ensemble learning technique, to predict the Mode-I RFT. In the proposed model, the strengths of multiple base regressors were combined. 400 experimental data points were utilized, obtained using the cracked Chevron notched Brazilian disc (CCNBD) test and comprising six input parameters affecting the Mode-I RFT. The dataset was partitioned into training and validation sets, ensuring rigorous model evaluation. The stacking regressor's meta-model was trained on the outputs of the base models, effectively learning to integrate their predictions to yield a more accurate final prediction. The performance of the stacking regressor was assessed through several statistical metrics. The results demonstrated that the stacking regressor significantly outperforms individual base models, achieving higher predictive accuracy and reliability. A sensitivity analysis using the mutual information test (MIT) method revealed that the uniaxial tensile strength (UCS) exerts the most significant influence on the Mode-I RFT, underscoring its importance in predictive modeling. Furthermore, developing a machine learning-based graphical user interface (GUI) enhanced the practical applicability of the proposed model, making it accessible to engineers and researchers without extensive expertise in machine learning.

Key Words

cracked Chevron notched Brazilian disc test; fracture toughness Mode-I; machine learning; sensitivity analysis

Address

Ibrahim Albaijan and Hussein Alrobei: Mechanical Engineering Department, College of Engineering at Al-Kharj, Prince Sattam Bin Abdulaziz University, Al Kharj 16273, Saudi Arabia Arsalan Mahmoodzadeh: Center of Research and Strategic Studies, Lebanese French University, Erbil, Iraq Mokhtar Mohammadi: Department of Information Technology, College of Engineering and Computer Science, Lebanese French University, Kurdistan Region, Iraq