Open Access

ARTICLE

Explainable Data-Driven Modeling for Optimized Mix Design of 3D-Printed Concrete: Interpreting Nonlinear Synergies among Binder Components and Proportions

Yassir M. Abbas^*, Abdulaziz Alsaif^*

Department of Civil Engineering, College of Engineering, King Saud University, Riyadh, 12372, Saudi Arabia

* Corresponding Authors: Yassir M. Abbas. Email: ; Abdulaziz Alsaif. Email:

(This article belongs to the Special Issue: Frontiers in Computational Modeling and Simulation of Concrete)

Computer Modeling in Engineering & Sciences 2025, 145(2), 1789-1819. https://doi.org/10.32604/cmes.2025.073088

Received 10 September 2025; Accepted 28 October 2025; Issue published 26 November 2025

Abstract

The rapid advancement of three-dimensional printed concrete (3DPC) requires intelligent and interpretable frameworks to optimize mixture design for strength, printability, and sustainability. While machine learning (ML) models have improved predictive accuracy, their limited transparency has hindered their widespread adoption in materials engineering. To overcome this barrier, this study introduces a Random Forests ensemble learning model integrated with SHapley Additive exPlanations (SHAP) and Partial Dependence Plots (PDPs) to model and explain the compressive strength behavior of 3DPC mixtures. Unlike conventional “black-box” models, SHAP quantifies each variable’s contribution to predictions based on cooperative game theory, which enables causal interpretability, whereas PDP visualizes nonlinear and interactive effects between features that offer practical mix design insights. A systematically optimized random forest model achieved strong generalization (R² = 0.978 for training, 0.834 for validation, and 0.868 for testing). The analysis identified curing age, Portland cement, silica fume, and the water-to-binder ratio as dominant predictors, with curing age exerting the highest positive influence on strength development. The integrated SHAP-PDP framework revealed synergistic interactions among binder constituents and curing parameters, which established transparent, data-driven guidelines for performance optimization. Theoretically, the study advances explainable artificial intelligence in cementitious material science by linking microstructural mechanisms to model-based reasoning, thereby enhancing both the interpretability and applicability of ML-driven mix design for next-generation 3DPC systems.

---

Keywords

---