Estimation of mode I fracture toughness of rocks exposed to different environmental conditions using simple and linear multiple regression

IF 2.1 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Mechanics of Time-Dependent Materials Pub Date : 2024-08-05 DOI:10.1007/s11043-024-09731-2
Engin Özdemir, Didem Eren Sarici
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Abstract

Mode I fracture toughness (Kıc) is a critical parameter in rock mechanics that is essential for understanding how rocks behave under tensile loading and crucial for applications ranging from safety assessments to structural design in geotechnical engineering. This study comprehensively investigates the influence of various environmental conditions (dry, saturated, frozen, thermal shock and thermal aging) on the physico-mechanical properties and Kıc of rocks. The primary novelty of this study lies in its comprehensive modeling approach under diverse environmental conditions, providing a nuanced understanding of factors influencing rock fracture toughness. By extending analysis to less-studied conditions such as freezing and thermal shock cycles, the study enhances the predictive capacity of fracture toughness models in practical geotechnical applications. Physico-mechanical properties, including uniaxial compressive strength, point load strength, Brazilian tensile strength (BT), Schmidt hardness, and ultrasonic wave velocity were evaluated across different environmental scenarios. Simple and linear multiple regression models were developed using these properties to predict Kıc. Notably, BT emerged as a significant predictor in the simple regression analyzes. Ten linear multiple regression models were formulated using SPSS 20, combining mechanical tests (UCS, BT, PL) with non-destructive testing methods (Vp, Vs, SH), demonstrating robust predictive capabilities with R2 values exceeding 0.95. Performance metrics (mean absolute error, mean absolute percentage error, root mean square error) were used to verify the accuracy of the model.

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利用简单回归和线性多元回归估算暴露于不同环境条件下的岩石的 I 型断裂韧性
I 型断裂韧性(Kıc)是岩石力学中的一个关键参数,对于了解岩石在拉伸荷载作用下的行为至关重要,对于岩土工程中的安全评估和结构设计等应用也至关重要。本研究全面探讨了各种环境条件(干燥、饱和、冷冻、热冲击和热老化)对岩石物理力学性质和 Kıc 的影响。这项研究的主要创新点在于其在不同环境条件下的综合建模方法,从而对影响岩石断裂韧性的因素有了细致入微的了解。通过将分析扩展到冷冻和热冲击循环等研究较少的条件,该研究增强了岩土工程实际应用中断裂韧性模型的预测能力。研究评估了不同环境条件下的物理力学性能,包括单轴抗压强度、点荷载强度、巴西抗拉强度(BT)、施密特硬度和超声波速度。利用这些特性建立了简单和线性多元回归模型来预测 Kıc。值得注意的是,在简单回归分析中,BT 是一个重要的预测因子。结合机械测试(UCS、BT、PL)和非破坏性测试方法(Vp、Vs、SH),使用 SPSS 20 建立了 10 个线性多元回归模型,显示出强大的预测能力,R2 值超过 0.95。性能指标(平均绝对误差、平均绝对百分比误差、均方根误差)用于验证模型的准确性。
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来源期刊
Mechanics of Time-Dependent Materials
Mechanics of Time-Dependent Materials 工程技术-材料科学:表征与测试
CiteScore
4.90
自引率
8.00%
发文量
47
审稿时长
>12 weeks
期刊介绍: Mechanics of Time-Dependent Materials accepts contributions dealing with the time-dependent mechanical properties of solid polymers, metals, ceramics, concrete, wood, or their composites. It is recognized that certain materials can be in the melt state as function of temperature and/or pressure. Contributions concerned with fundamental issues relating to processing and melt-to-solid transition behaviour are welcome, as are contributions addressing time-dependent failure and fracture phenomena. Manuscripts addressing environmental issues will be considered if they relate to time-dependent mechanical properties. The journal promotes the transfer of knowledge between various disciplines that deal with the properties of time-dependent solid materials but approach these from different angles. Among these disciplines are: Mechanical Engineering, Aerospace Engineering, Chemical Engineering, Rheology, Materials Science, Polymer Physics, Design, and others.
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