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Fatigue of granite subjected to cyclic loading at various temperatures: experimental insights from deformation and energy conversion

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Abstract

Rocks in many high-temperature underground engineering applications experience complex stress disturbances, which greatly affect their performance. However, the influence of combining the temperature and fatigue loading on the deformation characteristics of granite has rarely been investigated. In this study, multi-level multi cyclic loading tests were carried out on granite samples over the temperature range of 25–600 °C, revealing the influence of temperature, stress level and number of cycles on the deformation characteristics and energy conversion characteristics. The results show that the deformation behavior of granite under fatigue loading at high temperature is different from that at room temperature. It can be divided into three stages, hardening stage (Stage I), transition stage (Stage II) and softening stage (Stage III), which may be applicable to evaluate the deformation of deep rocks under complex geological conditions. A linear energy storage law that is independent of temperature and loading history was observed. A new calculation method for elastic energy at the peak stress was introduced to modify the traditional method based on the assumption of equivalent elastic modulus at the loading and unloading stage, which can provide a more reasonable and reliable estimate of rock brittleness. The experimental results of this study have important theoretical significance and engineering value for long-term stability evaluation and disaster prediction.

Article Highlights

  • Influence of temperature and damage-controlled cyclic loading on the deformation of rocks are experimentally studied.

  • A conceptual model of rock deformation is proposed, which may be more suitable for the evaluation of rock deformation under complex geological conditions.

  • A new method for accurately calculating the pre-peak brittleness index is introduced, which can provide a more reliable estimate of rock brittleness.

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References

  • Amann F, Button EA, Evans KF, Gischig VS, Blümel M (2011) Experimental study of the brittle behavior of clay shale in rapid unconfined compression. Rock Mech Rock Eng 44:415–430

    Article  Google Scholar 

  • Bai, Pengxiang, Lei, Dong, Zhang, Pei, Jintao, Zhu, Feipeng (2019) Fatigue life prediction method of concrete based on energy dissipation. Construction Build Mater.

  • Cerfontaine B, Collin F (2017) Cyclic and fatigue behaviour of rock materials: review, interpretation and research perspectives. Rock Mech Rock Eng 51:1–24

    Google Scholar 

  • Chen Y, Watanabe K, Kusuda H, Kusaka E, Mabuchi M (2011) Crack growth in Westerly granite during a cyclic loading test. Eng Geol 117:189–197

    Article  Google Scholar 

  • Diaz MB, Kim KY, Jung Sg (2020) Effect of frequency during cyclic hydraulic fracturing and the process of fracture development in laboratory experiments. Int J Rock Mech Mining Sci 134:104474.

  • Duan H, Yang Y (2017) Deformation and dissipated energy of sandstone under uniaxial cyclic loading. Geotech Geol Eng.

  • Feng XT, Gao Y, Zhang X, Wang Z, Han Q (2020) Evolution of the mechanical and strength parameters of hard rocks in the true triaxial cyclic loading and unloading tests. Int J Rock Mech Mining Sci 131:104349.

  • Faradonbeh RS, Taheri A, Karakus M (2020) Post-peak behaviour of rocks under cyclic loading using a double-criteria damage-controlled test method. Bull Eng Geol Environ, p 80.

  • Gan Feng, Xiaochuan Wang, Yong Kang, Zetian Zhang* (2020) Effect of thermal cycling-dependent cracks on physical and mechanical properties of granite for enhanced geothermal system. Int J Rock Mech Mining Sci 134:104476.

  • Gan Feng, Xiaochuan Wang*, Man Wang, Yong Kang (2020) Experimental investigation of thermal cycling on fracture characteristics of granite in a geothermal-energy reservoir. Eng Fracture Mech 235:107180.

  • Gong FQ, Song L, Yan JY (2018) Energy storage and dissipation evolution process and characteristics of marble in three tension-type failure tests. Rock Mech Rock Eng 51:3613–3624

    Article  Google Scholar 

  • Ge X, Jiang Y, Lu Y, Ren J (2003) Testing study on fatigue deformation law of rock under cyclic loading. Chin J Rock Mech Eng 10:1581–1585 (in Chinese)

    Google Scholar 

  • He M, Li N, Zhu C, Chen Y, Wu H (2019) Experimental investigation and damage modeling of salt rock subjected to fatigue loading. Int J Rock Mech Min Sci 114:17–23

    Article  Google Scholar 

  • Jia C, Xu W, Wang R, Wei W, Yu J (2018) Characterization of the deformation behavior of fine-grained sandstone by triaxial cyclic loading. Constr Build Mater 162:113–123

    Article  Google Scholar 

  • Jung SG, Diaz MB, Kim KY, Hofmann H, Zimmermann G (2021) Fatigue behavior of granite subjected to cyclic hydraulic fracturing and observations on pressure for fracture growth. Rock Mech Rock Eng, pp 1–14.

  • ISRM, Ulusay R, Hudson JA (2007) The complete ISRM suggested methods for rock characterization, testing and monitoring: 1974–2006. ISRM Commission on Testing Methods. Environ Eng Geosci 15:47–48

  • Maqsood Z, Koseki J, Miyashita Y, Xie J, Kyokawa H (2020) Experimental study on the mechanical behaviour of bounded geomaterials under creep and cyclic loading considering effects of instantaneous strain rates. Eng Geol 276:105774.

  • Meng QB, Liu JF, Ren L, Pu H, Chen YL (2021) Experimental study on rock strength and deformation characteristics under triaxial cyclic loading and unloading conditions. Rock Mech Rock Eng, pp 1–21

  • Momeni A, Karakus M, Khanlari GR, Heidari M (2015) Effects of cyclic loading on the mechanical properties of a granite. Int J Rock Mech Min Sci 77:89–96

    Article  Google Scholar 

  • Munoz H, Taheri A, Chanda EK (2016a) Rock drilling performance evaluation by an energy dissipation based rock brittleness index. Rock Mech Rock Eng 49:3343–3355

    Article  Google Scholar 

  • Munoz H, Taheri A, Chanda EK (2016b) Fracture energy-based brittleness index development and brittleness quantification by pre-peak strength parameters in rock uniaxial compression. Rock Mech Rock Eng 49:4587–4606

    Article  Google Scholar 

  • Mingzhong Gao, Jing Xie, Jun Guo, Yiqiang Lu, Zhiqiang He, Cong Li (2021) Fractal evolution and connectivity characteristics of mining-induced crack networks in coal masses at different depths. Geomech Geophys Geo-Energy Geo-Resour 1(7):9.

  • Li TT, Pei XJ, Wang DP, Huang RQ, Tang H (2019a) Nonlinear behavior and damage model for fractured rock under cyclic loading based on energy dissipation principle. Eng Fract Mech 206:330–341

    Article  Google Scholar 

  • Li Y, Long M, Zuo L, Li W, Zhao W (2019b) Brittleness evaluation of coal based on statistical damage and energy evolution theory. J Petrol Sci Eng 172:753–763

    Article  Google Scholar 

  • Li N, Zou Y, Zhang S, Ma X, Cao T (2019c) Rock brittleness evaluation based on energy dissipation under triaxial compression. J Petrol Sci Eng 183: 106349.

  • Lin Q, Cao P, Mao S, Ou C, Cao RH (2020) Fatigue behaviour and constitutive model of yellow sandstone containing pre-existing surface crack under uniaxial cyclic loading. Theor Appl Fracture Mech.

  • Liu M, Liu E (2017) Dynamic mechanical properties of artificial jointed rock samples subjected to cyclic triaxial loading. Int J Rock Mech Mining Sci.

  • Liu Y, Dai F, Dong L, Xu N, Feng P (2018) Experimental investigation on the fatigue mechanical properties of intermittently jointed rock models under cyclic uniaxial compression with different loading parameters. Rock Mech Rock Eng.

  • Liu SX, Ning GJ, Tan LY, Gu HQ (2016) Damage constitutive model based on energy dissipation for intact rock subjected to cyclic loading. Int J Rock Mech Min Sci 85:27–32

    Article  Google Scholar 

  • Lei D, Zhang P, He J, Bai P, Zhu F (2017) Fatigue life prediction method of concrete based on energy dissipation. Constr Build Mater 145:419–425

    Article  Google Scholar 

  • Pan XH, Sun HY, Wu ZJ, Lü Q (2016) Study of the failure mechanism and progressive failure process of intact rock patches of rock slope with weak surfaces. Rock Mech Rock Eng, p 50.

  • Peng K, Zhou J, Zou Q, Zhang J, Wu F (2019a) Effects of stress lower limit during cyclic loading and unloading on deformation characteristics of sandstones. Constr Build Mater 217:202–215

    Article  Google Scholar 

  • Peng K, Zhou J, Zou Q, Yan F (2019b) Deformation characteristics of sandstones during cyclic loading and unloading with varying lower limits of stress under different confining pressures. Int J Fatigue 127:82–100

    Article  Google Scholar 

  • Peng K, Zhou J, Zou Q, Song X (2020a) Effect of loading frequency on the deformation behaviours of sandstones subjected to cyclic loads and its underlying mechanism. Int J Fatigue 131:105341–105349, 105312.

  • Peng K, Zhou J, Zou Q, Zhang Y, Tan G (2020b) Deformation characteristics and failure modes of sandstones under discontinuous multi-level cyclic loads. Powder Technol.

  • Sheng-Qi Y, Ranjith PG, Yan-Hua H, Peng-Fei Y, Hong-Wen J, Yi-Lin G, Qing-Lei Y (2015) Experimental investigation on mechanical damage characteristics of sandstone under triaxial cyclic loading. Geophys J Int, p 2.

  • Sheng-Qi, Yang, Wen-Ling, Tian P, Ranjith G (2017) Experimental investigation on deformation failure characteristics of crystalline marble under triaxial cyclic loading. Rock Mech Rock Eng.

  • Sun B, Zhu ZD, Shi C, Liu ZH (2017) Dynamic mechanical behavior and fatigue damage evolution of sandstone under cyclic loading. Int J Rock Mech Min Sci 94:82–89

    Article  Google Scholar 

  • Song Z, Frühwirt T, Konietzky H (2018) Characteristics of dissipated energy of concrete subjected to cyclic loading. Constr Build Mater 168:47–60

    Article  Google Scholar 

  • Taheri A, Royle A, Yang Z, Zhao Y (2016) Study on variations of peak strength of a sandstone during cyclic loading. Geomech Geophys Geoenergy Georesour 2:1–10

    Article  Google Scholar 

  • Wang Z, Li S, Qiao L, Zhao J (2013) Fatigue behavior of granite subjected to cyclic loading under triaxial compression condition. Rock Mech Rock Eng 46:1603–1615

    Article  Google Scholar 

  • Wang Y, Gao SH, Li CH, Han JQ (2020a) Energy dissipation and damage evolution for dynamic fracture of marble subjected to freeze-thaw and multiple level compressive fatigue loading. Int J Fatigue, p 142.

  • Wang L, Guo Y, Yang C, Xiao J, Song Y (2020b) Mechanical characterization of continental shale in Sichuan Basin of China and its potential impact on reservoir stimulation. J Natural Gas Sci Eng 79:103346.

  • Wang J, Zhang Q, Song Z, Zhang Y (2021) Experimental study on creep properties of salt rock under long-period cyclic loading. Int J Fatigue 143: 106009.

  • Wen T, Tang HM, Huang L, Wang YK, Ma JW (2019) Energy evolution: a new perspective on the failure mechanism of purplish-red mudstones from the Three Gorges Reservoir area, China. Eng Geol, p 264

  • Wen T, Tang H, Wang Y (2020) Brittleness evaluation based on the energy evolution throughout the failure process of rocks. J Petrol Sci Eng 194: 107361.

  • Xia CC, Zhou SW, Hu Y (2015) Damage modeling of basaltic rock subjected to cyclic temperature and uniaxial stress. Int J Rock Mech Mining Sci.

  • Xiao F, Jiang DY, Wu F, Zou QL, Chen J, Chen B, Sun ZG (2020) Effects of prior cyclic loading damage on failure characteristics of sandstone under true-triaxial unloading conditions. Int J Rock Mech Mining Sci, p 132

  • Xie H, Peng R, Ju Y (2005a) On energy analysis of rock failure. Chin J Rock Mech Eng 15:2603–2608 (in Chinese)

    Google Scholar 

  • Xie H, Ju Y, Li L (2005b) Criteria for strength and structural failure of rocks based on energy dissipation and energy release principles. Chin J Rock Mech Eng 17:3003–3010 (in Chinese)

    Google Scholar 

  • Yang SQ, Huang YH, Tang JZ (2020) Mechanical, acoustic, and fracture behaviors of yellow sandstone specimens under triaxial monotonic and cyclic loading. Int J Rock Mech Mining Sci 130:104268.

  • Zhao YR, Yang HQ, Huang LP, Chen R, Chen XS, Liu SY (2019a) Mechanical behavior of intact completely decomposed granite soils along multi-stage loading–unloading path. Eng Geol, p 260

  • Zhao GK, Hu YQ, Jin PH, Hu YF, Li C (2019b) Experimental study on mechanical properties of granite subjected to cyclic loads under real time high temperature. Chin J Rock Mech Eng 38:927–937 (in Chinese)

    Google Scholar 

  • Zhao GK, Guo YT, Chang X, Jin PH, Hu YQ (2022) Effects of temperature and increasing-amplitude cyclic loading on the mechanical properties and energy characteristics of granite. Bull Eng Geol Environ (Accepted)

  • Zhang M, Dou L, Konietzky H, Song Z, Huang S (2020a) Cyclic fatigue characteristics of strong burst-prone coal: Experimental insights from energy dissipation, hysteresis and micro-seismicity. Int J Fatigue 133:105421–105429, 105414.

  • Zhang Y, Zhao GF, Li Q (2020b) Acoustic emission uncovers thermal damage evolution of rock. Int J Rock Mech Mining Sci 132:104388.

  • Zhang Z, Ma B, Ranjith PG, Yang S, Zhou L (2020c), Indications of risks in geothermal systems caused by changes in pore structure and mechanical properties of granite: an experimental study. Bull Eng Geol Environ, pp 1–16.

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Acknowledgements

This work was funded by National Natural Science Foundation of China (Grants No. 51574173). The authors are sincerely grateful to Professor J. J. K. Daemen (University of Nevada, USA) for his language help of this article.

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Authors and Affiliations

  1. State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing, 400044, China

    Guokai Zhao & Hanzhi Yang

  2. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, 430071, Hubei, China

    Xin Chang, Yintong Guo & Wuhao Guo

  3. Key Laboratory of In-Situ Property Improving Mining of Ministry of Education, Taiyuan University of Technology, Taiyuan, 030024, Shanxi, China

    Yaoqing Hu

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  1. Guokai Zhao
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  2. Xin Chang
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  5. Wuhao Guo
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Correspondence to Xin Chang or Yintong Guo.

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Zhao, G., Chang, X., Guo, Y. et al. Fatigue of granite subjected to cyclic loading at various temperatures: experimental insights from deformation and energy conversion. Geomech. Geophys. Geo-energ. Geo-resour. 8, 64 (2022). https://doi.org/10.1007/s40948-022-00369-3

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