Cai Xin, Wang Yunmin, Zhao Yihan, Chen Liye, Yuan Jifeng
Sinosteel Maanshan General Institute of Mining Research Co., Ltd., Maanshan 243000, China.
School of Resources and Safety Engineering, Central South University, Changsha 410083, China.
Materials (Basel). 2025 Sep 1;18(17):4097. doi: 10.3390/ma18174097.
Owing to its excellent crack resistance and durability, High-Performance Fiber-Reinforced Concrete (HPFRC) has been extensively applied in engineering structures exposed to extreme loading conditions. The Mode I dynamic fracture strength of HPFRC under high-strain-rate conditions exhibits significant strain-rate sensitivity and nonlinear response characteristics. However, existing experimental methods for strength measurement are limited by high costs and the absence of standardized testing protocols. Meanwhile, conventional data-driven models for strength prediction struggle to achieve both high-precision prediction and physical interpretability. To address this, this study introduces a dynamic fracture strength prediction method based on a feature-weighted linear ensemble (FWL) mechanism. A comprehensive database comprising 161 sets of high-strain-rate test data on HPFRC fracture strength was first constructed. Key modeling variables were then identified through correlation analysis and an error-driven feature selection approach. Subsequently, six representative machine learning models (KNN, RF, SVR, LGBM, XGBoost, MLPNN) were employed as base learners to construct two types of ensemble models, FWL and Voting, enabling a systematic comparison of their performance. Finally, the predictive mechanisms of the models were analyzed for interpretability at both global and local scales using SHAP (SHapley Additive exPlanations) and LIME (Local Interpretable Model-agnostic Explanations) methods. The results demonstrate that the FWL model achieved optimal predictive performance on the test set (R = 0.908, RMSE = 2.632), significantly outperforming both individual models and the conventional ensemble method. Interpretability analysis revealed that strain rate and fiber volume fraction are the primary factors influencing dynamic fracture strength, with strain rate demonstrating a highly nonlinear response mechanism across different ranges. The integrated prediction framework developed in this study offers the combined advantages of high accuracy, robustness, and interpretability, providing a novel and effective approach for predicting the fracture behavior of HPFRC under high-strain-rate conditions.
由于其出色的抗裂性和耐久性,高性能纤维增强混凝土(HPFRC)已广泛应用于承受极端荷载条件的工程结构中。HPFRC在高应变率条件下的I型动态断裂强度表现出显著的应变率敏感性和非线性响应特性。然而,现有的强度测量实验方法受到高成本和缺乏标准化测试协议的限制。同时,传统的数据驱动强度预测模型难以同时实现高精度预测和物理可解释性。为了解决这个问题,本研究引入了一种基于特征加权线性集成(FWL)机制的动态断裂强度预测方法。首先构建了一个包含161组HPFRC断裂强度高应变率测试数据的综合数据库。然后通过相关性分析和误差驱动的特征选择方法确定关键建模变量。随后,采用六个代表性的机器学习模型(KNN、RF、SVR、LGBM、XGBoost、MLPNN)作为基学习器来构建两种类型的集成模型,FWL和投票,以便系统地比较它们的性能。最后,使用SHAP(SHapley Additive exPlanations)和LIME(Local Interpretable Model-agnostic Explanations)方法在全局和局部尺度上分析模型的预测机制以实现可解释性。结果表明,FWL模型在测试集上实现了最佳预测性能(R = 0.908,RMSE = 2.632),显著优于单个模型和传统集成方法。可解释性分析表明,应变率和纤维体积分数是影响动态断裂强度的主要因素,应变率在不同范围内表现出高度非线性的响应机制。本研究开发的集成预测框架具有高精度、鲁棒性和可解释性的综合优势,为预测HPFRC在高应变率条件下的断裂行为提供了一种新颖有效的方法。