Microdamage study of granite under thermomechanical coupling based on the particle flow code

Chong SHI , Yiping ZHANG , Yulong ZHANG , Xiao CHEN , Junxiong YANG

Front. Struct. Civ. Eng. ›› 2023, Vol. 17 ›› Issue (9) : 1413 -1427.

PDF (10821KB)
Front. Struct. Civ. Eng. ›› 2023, Vol. 17 ›› Issue (9) : 1413 -1427. DOI: 10.1007/s11709-023-0953-2
RESEARCH ARTICLE
RESEARCH ARTICLE

Microdamage study of granite under thermomechanical coupling based on the particle flow code

Author information +
History +
PDF (10821KB)

Abstract

The thermomechanical coupling of rocks refers to the interaction between the mechanical and thermodynamic behaviors of rocks induced by temperature changes. The study of this coupling interaction is essential for understanding the mechanical and thermodynamic properties of the surrounding rocks in underground engineering. In this study, an improved temperature-dependent linear parallel bond model is introduced under the framework of a particle flow simulation. A series of numerical thermomechanical coupling tests are then conducted to calibrate the micro-parameters of the proposed model by considering the mechanical behavior of the rock under different thermomechanical loadings. Good agreement between the numerical results and experimental data are obtained, particularly in terms of the compression, tension, and elastic responses of granite. With this improved model, the thermodynamic response and underlying cracking behavior of a deep-buried tunnel under different thermal loading conditions are investigated and discussed in detail.

Graphical abstract

Keywords

thermomechanical coupling effect / granite / improved linear parallel bond model / thermal property / particle flow code

Cite this article

Download citation ▾
Chong SHI, Yiping ZHANG, Yulong ZHANG, Xiao CHEN, Junxiong YANG. Microdamage study of granite under thermomechanical coupling based on the particle flow code. Front. Struct. Civ. Eng., 2023, 17(9): 1413-1427 DOI:10.1007/s11709-023-0953-2

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Chaki S, Takarli M, Agbodjan W P. Influence of thermal damage on physical properties of a granite rock: Porosity, permeability and ultrasonic wave evolutions. Construction & Building Materials, 2008, 22(7): 1456–1461

[2]

Cai Y Y, Luo C H, Yu J, Zhang L M. Experimental study on mechanical properties of thermal-damage granite rock under triaxial unloading confining pressure. Journal of Geotechnical Engineering, 2015, 37: 1173–1180

[3]

Zhao F, Shi Z M, Sun Q. Fracture mechanics behavior of jointed granite exposed to high temperatures. Rock Mechanics and Rock Engineering, 2021, 54(5): 2183–2196

[4]

Li D Y, Su X L, Gao F H, Liu Z D. Experimental studies on physical and mechanical behaviors of heated rocks with pre-fabricated hole exposed to different cooling rates. Geomechanics and Geophysics for Geo-Energy and Geo-Resources, 2022, 8(4): 125

[5]

Huang Y H, Yang S Q, Tian W L, Zhao J, Ma D, Zhang C S. Physical and mechanical behavior of granite containing pre-existing holes after high temperature treatment. Archives of Civil and Mechanical Engineering, 2017, 17(4): 912–925

[6]

Sun Q, Zhang W Q, Zhu Y M, Huang Z. Effect of high temperatures on the thermal properties of granite. Rock Mechanics and Rock Engineering, 2019, 52(8): 2691–2699

[7]

Fan L F, Gao J W, Wu Z J, Yang S Q, Ma G W. An investigation of thermal effects on micro-properties of granite by X-ray CT technique. Applied Thermal Engineering, 2018, 140: 505–519

[8]

Chen Y L, Ni J, Shao W, Azzam R. Experimental study on the influence of temperature on the mechanical properties of granite under uni-axial compression and fatigue loading. International Journal of Rock Mechanics and Mining Sciences, 2012, 56: 62–66

[9]

Sun Q, Zhang W Q, Xue L, Zhang Z Z, Su T M. Thermal damage pattern and thresholds of granite. Environmental Earth Sciences, 2015, 74(3): 2341–2349

[10]

XuX LKang Z XJiMGeW XChenJ. Research of microcosmic mechanism of brittle-plastic transition for granite under high temperature. Procedia Earth and Planetary Science. 2009, 1(1): 432–437

[11]

Yin T B, Li X B, Cao W Z, Xia K W. Effects of thermal treatment on tensile strength of Laurentian granite using Brazilian test. Rock Mechanics and Rock Engineering, 2015, 48(6): 2213–2223

[12]

Yang S Q, Ranjith P G, Jing H W, Tian W L, Ju Y. An experimental investigation on thermal damage and failure mechanical behavior of granite after exposure to different high temperature treatments. Geothermics, 2017, 65: 180–197

[13]

Glover P W J, Baud P, Darot M, Meredith P G, Boon S A, Leravalec M, Zoussi S, Reuschlé T. α/β phase transition in quartz monitored using acoustic emissions. Geophysical Journal International, 1995, 120(3): 775–782

[14]

Zhao Z H. Thermal influence on mechanical properties of granite: A microcracking perspective. Rock Mechanics and Rock Engineering, 2016, 49(3): 747–762

[15]

Van der Molen I. The shift of the α−β transition temperature of quartz associated with the thermal expansion of granite at high pressure. Tectonophysics, 1981, 73(4): 323–342

[16]

Branlund J M, Hofmeister A M. Thermal diffusivity of quartz to 1000 °C: Effects of impurities and the α−β phase transition. Physics and Chemistry of Minerals, 2007, 34(8): 581–595

[17]

Staněk M, Geraud Y. Granite microporosity changes due to fracturing and alteration: Secondary mineral phases as proxies for porosity and permeability estimation. Solid Earth, 2019, 10(1): 251–274

[18]

Ghasemi S, Khamehchiyan M, Taheri A, Nikudel M R, Zalooli A. Crack evolution in damage stress thresholds in different minerals of granite rock. Rock Mechanics and Rock Engineering, 2020, 53(3): 1163–1178

[19]

ZhangYZhao Y S. Thermal cracking meso-characteristic of LuHui granite. In: Proceedings of the International Conference on Mechanical Engineering and Green Manufacturing (MEGM) 2010. Xiangtan: Mechanical Engineering and Green Manufacturing, 2010

[20]

ZhaoY SMeng Q RKangT HZhangNXiB P. Micro-CT experimental technology and meso-investigation on thermal fracturing characteristics of granite. Journal of Geotechnical Engineering, 2008, 27: 28−34 (in Chinese)

[21]

Chen S W, Yang C H, Wang G B. Evolution of thermal damage and permeability of Beishan granite. Applied Thermal Engineering, 2017, 110: 1533–1542

[22]

Lin W R. Permanent strain of thermal expansion and thermally induced microcracking in Inada granite. Journal of Geophysical Research. Solid Earth, 2002, 107(B10): 107

[23]

Wang H F, Bonner B P, Carlson S R, Kowallis B J, Heard H C. Thermal stress cracking in granite. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1989, 26(5): 234

[24]

Hu X D, Song X Z, Liu Y, Li G S, Shen Z H, Lyu Z H, Liu Q L. Lowest required surface temperature for thermal spallation in granite and sandstone specimens: Experiments and simulations. Rock Mechanics and Rock Engineering, 2019, 52(6): 1689–1703

[25]

Liu H, Zhang K, Liu T, Cao H, Wang Y. Experimental and numerical investigations on tensile mechanical properties and fracture mechanism of granite after cyclic thermal shock. Geomechanics and Geophysics for Geo-Energy and Geo-Resources, 2022, 8(1): 18

[26]

Wang F, Konietzky H, Frühwirt T, Dai Y J. Laboratory testing and numerical simulation of properties and thermal-induced cracking of Eibenstock granite at elevated temperatures. Acta Geotechnica, 2020, 15(8): 2259–2275

[27]

Zhang Y M, Mang H A. Global cracking elements: A novel tool for Galerkin-based approaches simulating quasi-brittle fracture. International Journal for Numerical Methods in Engineering, 2020, 121(11): 2462–2480

[28]

Jang M, Yang H S. Experiment and numerical analysis for thermo-mechanical behavior of granite block. Geosystem Engineering, 2005, 8(1): 9–14

[29]

SchrankCFusseis FKarrechARevetsSRegenauer Lieb KJieL. Thermal cracking of Westerly granite: From physical to numerical experiment. In: Proceedings of the EGU General Assembly Conference Abstracts. Vienna: EGU General Assembly, 2010

[30]

Yu Q L, Ranjith P G, Liu H Y, Yang T H, Tang S B, Tang C A, Yang S Q. A mesostructure-based damage model for thermal cracking analysis and application in granite at elevated temperatures. Rock Mechanics and Rock Engineering, 2015, 48(6): 2263–2282

[31]

Wang F, Konietzky H. Thermal damage evolution of granite under slow and high-speed heating conditions. Computers and Geotechnics, 2020, 123: 103590

[32]

Zhang Y M, Zhuang X Y. Cracking elements: A self-propagating strong discontinuity embedded approach for quasi-brittle fracture. Finite Elements in Analysis and Design, 2018, 144: 84–100

[33]

Zhang Y M, Zhuang X Y. Cracking elements method for dynamic brittle fracture. Theoretical and Applied Fracture Mechanics, 2019, 102: 1–9

[34]

Zhang Y M, Huang J U, Yuan Y, Mang H A. Cracking elements method with a dissipation-based arc-length approach. Finite Elements in Analysis and Design, 2021, 195: 103573

[35]

Zhang Y M, Gao Z R, Li Y Y, Zhuang X Y. On the crack opening and energy dissipation in a continuum based disconnected crack model. Finite Elements in Analysis and Design, 2020, 170: 103333

[36]

Rabczuk T, Zi G, Bordas S, Nguyen Xuan H. A simple and robust three-dimensional cracking-particle method without enrichment. Computer Methods in Applied Mechanics and Engineering, 2010, 199(37–40): 2437–2455

[37]

Rabczuk T, Belytschko T. Cracking particles: A simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering, 2004, 61(13): 2316–2343

[38]

Yu S Y, Ren X H, Zhang J X, Wang H J, Sun Z H. An improved form of smoothed particle hydrodynamics method for crack propagation simulation applied in rock mechanics. International Journal of Mining Science and Technology, 2021, 31(3): 421–428

[39]

Zhang Y M, Yang X Q, Wang X Y, Zhuang X Y. A micropolar peridynamic model with non-uniform horizon for static damage of solids considering different nonlocal enhancements. Theoretical and Applied Fracture Mechanics, 2021, 113: 102930

[40]

Zhang Y M, Lackner R, Zeiml M, Mang H A. Strong discontinuity embedded approach with standard SOS formulation: Element formulation, energy-based crack-tracking strategy, and validations. Computer Methods in Applied Mechanics and Engineering, 2015, 287: 335–366

[41]

Cundall P A, Strack O D L. A discrete numerical model for granular assembilies. Geotechnique, 1979, 29(1): 47–65

[42]

Zhang Y L, Shao J F, Liu Z B, Shi C, de Saxce G. Effects of confining pressure and loading path on deformation and strength of cohesive granular materials: A three-dimensional DEM analysis. Acta Geotechnica, 2019, 14(2): 443–460

[43]

Zhang Y L, Shao J F, de Saxce G, Shi C, Liu Z B. Study of deformation and failure in an anisotropic rock with a three-dimensional discrete element model. International Journal of Rock Mechanics and Mining Sciences, 2019, 120: 17–28

[44]

Cundall P A, Hart R D. Numerical modelling of discontinua. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1993, 30: 101–113

[45]

Zhang Y L, Liu Z B, Han B, Zhu S, Zhang X. Numerical study of hydraulic fracture propagation in inherently laminated rocks accounting for bedding plane properties. Journal of Petroleum Science Engineering, 2022, 210: 109798

[46]

Zhang Y L, Zhang Y P, Han B, Zhang X, Jia Y. Parameter studies on hydraulic fracturing in brittle rocks based on a modified hydromechanical coupling model. Energies, 2022, 15(7): 2687

[47]

Zhang Y L, Shao J F, Zhu S, Liu Z B, Shi C. Effect of rock anisotropy on initiation and propagation of fractures due to fluid pressurization. Acta Geotechnica, 2022, 18(4): 2039–2058

[48]

ItascaConsulting Group. User’s Manual: PFC2D-particle Flow Code in 2 Dimensions. Minneapolis: Itasca Consulting Group, 2004

[49]

Wanne T S, Young R P. Bonded-particle modeling of thermally fractured granite. International Journal of Rock Mechanics and Mining Sciences, 2008, 45(5): 789–799

[50]

Xia M, Zhao C B, Hobbs B E. Particle simulation of thermally-induced rock damage with consideration of temperature-dependent elastic modulus and strength. Computers and Geotechnics, 2014, 55: 461–473

[51]

Potyondy D O, Cundall P A. A bonded-particle model for rock. International Journal of Rock Mechanics and Mining Sciences, 2004, 41(8): 1329–1364

[52]

Zhang Y L, Liu Z B, Shi C, Shao J F. Three-dimensional reconstruction of block shape irregularity and its effects on block impacts using an energy-based approach. Rock Mechanics and Rock Engineering, 2018, 51(4): 1173–1191

[53]

Zhang Y P, Shi C, Zhang Y L, Yang J X, Chen X. Numerical analysis of the brittle-ductile transition of deeply buried marble using a discrete approach. Computational Particle Mechanics, 2021, 8(4): 893–904

[54]

Sun Q, Chen S E, Gao Q, Zhang W Q, Geng J S, Zhang Y L. Analyses of the factors influencing sandstone thermal conductivity. Acta Geodynamica et Geomaterialia, 2017, 14: 173–180

[55]

Zhang Y L, Shao J F, Liu Z B, Shi C. An improved hydromechanical model for particle flow simulation of fractures in fluid-saturated rocks. International Journal of Rock Mechanics and Mining Sciences, 2021, 147: 104870

[56]

ZhangY LHan BZhangXJiaYZhuC. Study of interactions between induced and natural fracture effects on hydraulic fracture propagation using a discrete approach. Lithosphere, 2021: 5810181

[57]

HuS HZhang GZhangMJiangX LChenY F. Deformation characteristics tests and damage mechanics analysis of Beishan granite after thermal treatment. Rock and Soil Mechanics, 2016, 37: 3427–3436 (in Chinese)

[58]

Zhang Y M, Gao Z R, Wang X Y, Liu Q. Image representations of numerical simulations for training neural networks. Computer Modeling in Engineering & Sciences, 2023, 134(2): 821–833

[59]

Zhang Y M, Gao Z R, Wang X Y, Liu Q. Predicting the pore-pressure and temperature of fire-loaded concrete by a hybrid neural network. International Journal of Computational Methods, 2021, 19(8): 2142011

[60]

Shi C, Yang W K, Yang J X, Chen X. Calibration of micro-scaled mechanical parameters of granite based on a bonded-particle model with 2D particle flow code. Granular Matter, 2019, 21(2): 38

[61]

HanZZhangL ZhouJYuan GWangP. Uniaxial compression test and numerical studies of grain size effect on mechanical properties of granite. Journal of Engineering Geology, 2019, 27: 497−504 (in Chinese)

[62]

Zhang X P, Wong L N Y. Choosing a proper loading rate for bonded-particle model of intact rock. International Journal of Fracture, 2014, 189(2): 163–179

[63]

BonettoFLebowitz J LBelletL R. Fourier’s Law: A Challenge to Theorists, in Mathematical Physics 2000. London: Imperial College, 2000

[64]

Plevova E, Vaculikova L, Kozusnikova A, Ritz M, Martynkova G S. Thermal expansion behaviour of granites. Journal of Thermal Analysis and Calorimetry, 2016, 123(2): 1555–1561

[65]

Zhu Z N, Yang S Q, Wang R, Tian H, Jiang G S, Dou B. Effects of high temperature on the linear thermal expansion coefficient of Nanan granite. Acta Geodaetica et Geophysica, 2022, 57(2): 231–243

[66]

Xiang P, Xu H C, Ji H G, Li Q, Wang H. Thermal property of granite in deep strata and its effect on thermal zone of surrounding rock. Shock and Vibration, 2022, 2022: 1–9

[67]

Yurtseven H, Desticioglu M. Critical behaviour of the heat capacity near the α−β phase transition in quartz. High-Temperature Materials and Processes, 2013, 32(2): 189–194

[68]

Saxena S K. Earth mineralogical model: Gibbs free energy minimization computation in the system MgO-FeO-SiO2. Geochimica et Cosmochimica Acta, 1996, 60(13): 2379–2395

[69]

Miao S Q, Li H P, Chen G. Temperature dependence of thermal diffusivity, specific heat capacity, and thermal conductivity for several types of rocks. Journal of Thermal Analysis and Calorimetry, 2014, 115(2): 1057–1063

[70]

Pereira A H A, Miyaji D Y, Cabrelon M D, Medeiros J, Rodrigues J A. A study about the contribution of the α−β phase transition of quartz to thermal cycle damage of a refractory used in fluidized catalytic cracking units. Cerâmica, 2014, 60(355): 449–456

[71]

Sun Q, Lu C, Cao L W, Li W C, Geng J S, Zhang W Q. Thermal properties of sandstone after treatment at high temperature. International Journal of Rock Mechanics and Mining Sciences, 2016, 85: 60–66

[72]

Zhao X G, Zhao Z, Guo Z, Cai M, Li X, Li P F, Chen L, Wang J. Influence of thermal treatment on the thermal conductivity of Beishan granite. Rock Mechanics and Rock Engineering, 2018, 51(7): 2055–2074

[73]

Zhao X G, Xu H R, Zhao Z, Guo Z, Cai M, Wang J. Thermal conductivity of thermally damaged Beishan granite under uniaxial compression. International Journal of Rock Mechanics and Mining Sciences, 2019, 115: 121–136

[74]

Wang Y H, Leung S C. A particulate-scale investigation of cemented sand behavior. Canadian Geotechnical Journal, 2008, 45(1): 29–44

[75]

Wang F, Konietzky H, Fruhwirt T, Li Y W, Dai Y J. Impact of cooling on fracturing process of granite after high-speed heating. International Journal of Rock Mechanics and Mining Sciences, 2020, 125: 104155

RIGHTS & PERMISSIONS

Higher Education Press

AI Summary AI Mindmap
PDF (10821KB)

3343

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/