Heating rate effect of thermal expansion in granite and implications for rock breaking

Yubo Li , Lei He , Yueyang Li , Weiqiang Zhu , Huaiguang Xiao , Tienan Wang

Int J Min Sci Technol ›› 2026, Vol. 36 ›› Issue (4) : 773 -791.

PDF (7441KB)
Int J Min Sci Technol ›› 2026, Vol. 36 ›› Issue (4) :773 -791. DOI: 10.1016/j.ijmst.2026.02.004
Research article
research-article
Heating rate effect of thermal expansion in granite and implications for rock breaking
Author information +
History +
PDF (7441KB)

Abstract

The influence of the heating rate on the thermo-mechanical response and damage evolution of rock is a critical factor limiting the safety and efficiency of engineering applications. Conventional models are limited, however, as they assume a static coefficient of thermal expansion (CTE) and ignore its dynamic nature under rapid thermal loading. This study confronts this knowledge gap using a synergistic experimental–numerical approach. A custom system combining induction heating and Digital Image Correlation was employed to measure the rate-dependent CTE of both bulk granite and its constituent minerals over various heating rates. These dynamic coefficients were then integrated into a high-fidelity numerical model to simulate microwave-assisted rock breaking. Results definitively show the CTE is strongly rate-dependent. While the quartz phase transition at ~573 °C triggers critical damage, faster heating significantly amplifies strain localization and damage accumulation. Crucially, simulations revealed that under identical microwave loading, the model using dynamic CTE (530 °C/min) reached a 1000 mm2 failure area 11 times faster than the model using quasi-static CTE (5 °C/min). This study fundamentally establishes rock’s CTE as a dynamic, rate-dependent property, providing a key scientific basis for advancing such thermal fracturing technologies.

Keywords

Heating rate / Granite / Coefficient of thermal expansion / Thermal damage / Digital image correlation / Microwave rock breaking

Cite this article

Download citation ▾
Yubo Li, Lei He, Yueyang Li, Weiqiang Zhu, Huaiguang Xiao, Tienan Wang. Heating rate effect of thermal expansion in granite and implications for rock breaking. Int J Min Sci Technol, 2026, 36 (4) : 773-791 DOI:10.1016/j.ijmst.2026.02.004

登录浏览全文

4963

注册一个新账户 忘记密码

CRediT authorship contribution statement

Yubo Li: Writing – review & editing, Writing – original draft, Methodology, Investigation, Conceptualization. Lei He: Resources, Formal analysis, Conceptualization. Yueyang Li: Visualization, Supervision, Software. Weiqiang Zhu: Visualization, Validation. Huaiguang Xiao: Funding acquisition. Tienan Wang: Supervision, Methodology.

Declaration of competing interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Acknowledgment

This work was financially supported by the National Natural Science Foundation of China (Nos. 42572348 and 42307226), the Natural Science Foundation of Jiangsu Province (No. BK20230857).

References

[1]

Chen YF, Zhou CB, Jing LR. Numerical modeling of coupled thermo—mechanical response of a rock pillar. J Rock Mech Geotech Eng 2010; 2(3):262-73.

[2]

Dickson MH, Fanelli M. What is geothermal energy? In: Renewable Energy. London: Routledge; 2018. p. 302—28.

[3]

Zheng DW, Xu HC, Wang JM, Sun JC, Zhao K, Li C, et al. Key evaluation techniques in the process of gas reservoir being converted into underground gas storage. Petrol Explor Dev 2017; 44(5):840-9.

[4]

Chen HB, Liu T, You XH, Yuan DJ, Ping Y, Zhang QL. Experimental investigation on fire damage to staggered segmental lining of shield tunnel. Tunn Undergr Space Technol 2023; 141:105359.

[5]

Peng J, Cai M, Wu ZJ, Liu QS, Xu CH. Crack initiation stress of thermally damaged rock under uniaxial compression. Eng Geol 2023; 326:107317.

[6]

Liu LY, Ji HG, Elsworth D, Zhi S, Lv XF, Wang T. Dual—damage constitutive model to define thermal damage in rock. Int J Rock Mech Min Sci 2020; 126:104185.

[7]

Chen SW, Yang CH, Wang GB. Evolution of thermal damage and permeability of Beishan granite. Appl Therm Eng 2017; 110:1533—42.

[8]

Sasaki T, Rutqvist J. Effects of time—dependent deformation of shale on the integrity of a geological nuclear waste repository. Int J Rock Mech Min Sci 2022; 158:105206.

[9]

Dou XY, Shi HB, Qing YB, Guo JQ, Cheng LP. Stability analysis of the surrounding rock of deep underground engineering under the action of thermal—solid coupling. Buildings 2025; 15(9):1500.

[10]

Li YY, He L, Xiao HG, Wang TN, Su YQ, Zhu WQ, et al. 2D orthogonal simulation method for multi—physics field evolution in material—structure heterogeneous rocks under microwave irradiation. Comput Geotech 2025; 184:107237.

[11]

Siegesmund S, Sousa L, Knell C. Thermal expansion of granitoids. Environ Earth Sci 2018; 77(2):41.

[12]

Yang Z, Tao M, Ranjith PG, Zhuang DD, Memon MB, Luo H. Multiscale damage and thermal—stress evolution characteristics of rocks with thermal storage potential under thermal shocks. J Energy Storage 2024; 83:110631.

[13]

Griffiths L, Heap MJ, Lengliné O, Baud P, Schmittbuhl J, Gilg HA. Thermal stressing of volcanic rock: microcracking and crack closure monitored through acoustic emission, ultrasonic velocity, and thermal expansion. J Geophys Res Solid Earth 2024; 129(3):e2023JB027766.

[14]

Tribaudino M, Angel RJ, Cámara F, Nestola F, Pasqual D, Margiolaki I. Thermal expansion of plagioclase feldspars. Contrib Miner Petrol 2010; 160(6):899-908.

[15]

Zhao YX, Gao YR, Sun Z, Gao S, Sun CC. Dielectric anisotropy effects on the microwave—induced thermodynamic response of coal: Numerical simulations and experiments. Fuel 2022; 326:125038.

[16]

Xu JJ, Zhang YH, Rutqvist J, Hu MS, Wang ZZ, Tang XH. Thermally induced microcracks in granite and their effect on the macroscale mechanical behavior. J Geophys Res Solid Earth 2023; 128(1):e2022JB024920.

[17]

Braun P, Ghabezloo S, Delage P, Sulem J, Conil N. Thermo—poro—elastic behaviour of a transversely isotropic shale: thermal expansion and pressurization. Rock Mech Rock Eng 2021; 54(1):359-75.

[18]

Wang TN, Zhai Y, Gao H, Li YB, Zhao RF. A novel binary effective medium model to describe the prepeak stress—strain relationship of combined bodies of rock—like material and rock. Int J Min Sci Technol 2023; 33(5):601—16.

[19]

Yao W, Wang S, Wu BB, Xu Y, Xia KW. Comparison of microwave— and thermal—assisted rock fragmentation methods at different temperatures and loading rates. Int J Min Sci Technol 2024; 34(6):799-819.

[20]

Wang F, Frühwirt T, Konietzky H, Zhu QY. Thermo—mechanical behaviour of granite during high—speed heating. Eng Geol 2019; 260:105258.

[21]

Li JH, Li GC, Zhang L, Miao KJ, Wo XF, Yuan YQ, et al. Experimental study on stress—permeability evolution of rocks under complex mining—induced loading: insights into water inrush risk in floor strata. Int J Min Sci Technol 2025.

[22]

Somani A, Nandi TK, Pal SK, Majumder AK. Pre—treatment of rocks prior to comminution — a critical review of present practices. Int J Min Sci Technol 2017; 27(2):339-48.

[23]

Zhao YS, Wan ZJ, Feng ZJ, Yang D, Zhang Y, Qu F. Triaxial compression system for rock testing under high temperature and high pressure. Int J Rock Mech Min Sci 2012; 52:132—8.

[24]

Zuo JP, Xie HP, Zhou HW. Investigation of meso—failure behavior of rock under thermal—mechanical coupled effects based on high temperature SEM. Sci China Phys Mech Astron 2012; 55(10):1855-62.

[25]

Popov Y, Parshin A, Abashkin V, Miklashevskiy D. Instrument for measurements of linear thermal expansion coefficient of rocks. 46th US rock mechanics/geomechanics symposium. Chicago: ARMA; 2012.

[26]

Tang SB, Wang JX, Chen PZ. Theoretical and numerical studies of cryogenic fracturing induced by thermal shock for reservoir stimulation. Int J Rock Mech Min Sci 2020; 125:104160.

[27]

Liu JQ, Han LH, Zhao XL. Performance of concrete—filled steel tubular column—wall structure subjected to ISO—834 standard fire: analytical behaviour. Thin Walled Struct 2018; 129:28-44.

[28]

Pressacco M, Saksala T. Numerical modelling of heat shock—assisted rock fracture. Int J Numer Anal Meth Geomech 2020; 44(1):40-68.

[29]

Schrank CE, Fusseis F, Karrech A, Regenauer—Lieb K. Thermal—elastic stresses and the criticality of the continental crust. Geochem Geophys Geosyst 2012; 13(9):2012GC004085.

[30]

Nasseri M, Schubnel A, Young R. Coupled evolutions of fracture toughness and elastic wave velocities at high crack density in thermally treated Westerly granite. Int J Rock Mech Min Sci 2007; 44(4):601—16.

[31]

Han LH, Yang YF, Yang H, Huo JS. Residual strength of concrete—filled RHS columns after exposure to the ISO—834 standard fire. Thin Walled Struct 2002; 40(12):991-1012.

[32]

Li Q, Li XB, Yin TB. Effect of microwave heating on fracture behavior of granite: an experimental investigation. Eng Fract Mech 2021; 250:107758.

[33]

Pressacco M, Kangas JJJ, Saksala T. Numerical modelling of microwave irradiated rock fracture. Miner Eng 2023; 203:108318.

[34]

Wang F, Konietzky H. Thermal damage evolution of granite under slow and high—speed heating conditions. Comput Geotech 2020; 123:103590.

[35]

Li M, Mao XB, Cao LL, Pu H, Lu AH. Influence of heating rate on the dynamic mechanical performance of coal measure rocks. Int J Geomech 2017; 17(8):04017020.

[36]

Feng ZJ, Zhao YS, Liu DN. Permeability evolution of thermally cracked granite with different grain sizes. Rock Mech Rock Eng 2021; 54(4):1953—67.

PDF (7441KB)

14

Accesses

0

Citation

Detail

Sections
Recommended

/