Rock Mechanics and Rock Engineering

, Volume 52, Issue 4, pp 991–1010 | Cite as

Dynamic Properties of Thermally Treated Granite Subjected to Cyclic Impact Loading

  • Pin Wang
  • Tubing YinEmail author
  • Xibing Li
  • Shuaishuai Zhang
  • Lv Bai
Original Paper


The Earth’s deep rock mass is subjected to various complex temperature and stress perturbations. To study the effect of temperature and dynamic disturbance on the damage mechanical properties of these rocks, a series of laboratory tests was carried out by means of a modified split Hopkinson pressure bar system. Specimens were heat treated from room temperature up to a maximum of 800 °C and then cooled to room temperature. During repeated loading tests, the dynamic incident energy was kept constant in each cycle. For samples under the same treated temperature, the dynamic strength and deformation capacity degraded gradually with increasing impact number. Furthermore, rock strength decreased with increasing treated temperature, with the number of impacts before failure reduced accordingly. Since damage can be initiated by thermal treatment and then aggravated by dynamic disturbance, according to the observed decrease in rock strength and increase in strain rate under the different temperature conditions, a temperature of 400 °C was found be a significant failure threshold. The maximum strain was employed to describe damage evolution during cyclic impact loading, indicating that fatigue damage is gradually accumulated and maintains a three-segment growth with an increase in repeated impacts. Under the coupled effect of temperature and cyclic impact loading, specimens exhibited two different failure modes: split tensile failure and unloading failure. The micro-properties of fracture morphology in granite after different temperature and repeated impact were also discussed in detail.


Rock dynamics Thermal treatment Cyclical load Impact fatigue Damage evolution 

List of Symbols


Split Hopkinson pressure bar


Reactive powder concrete


Brazilian disc


Semi-circular bend


Short rod


X-ray diffraction


International Society for Rock Mechanics


Scanning electron microscope


Material test system


The dynamic strain rate increase factor

\({\nu _{\text{v}}}\)

Volume increase rate


Volume of specimen before thermal treatment (cm3)


Volume of specimen after thermal treatment (cm3)

\({\varepsilon _{\text{I}}}\)

Signal on the incident bar

\({\varepsilon _{\text{R}}}\)

Signal on the reflected bar

\({\varepsilon _{\text{T}}}\)

Signal on the transmitted bar


Diameter of the specimen (mm)


Length of the specimen (mm)


Cross-sectional area of elastic bars (mm2)


Cross-sectional area of the specimen (mm2)


Wave propagation velocity in the elastic bars (km/s)


Young’s modulus of elastic bars (GPa)


Length of initial crack of specimen (mm)


Critical crack length of specimen failure (mm)

\({\sigma _{\text{r}}}\)

Critical stress for fatigue propagation (MPa)

\({\sigma _{\text{c}}}\)

Critical failure stress (MPa)


The stress intensity factor


The quasi-static fracture toughness


Force between the specimen and input bar (kN)


Force between the specimen and output bar (kN)


The dynamic elastic modulus of the specimen (GPa)

\({\sigma _{\text{I}}}\)

The incident stress during cyclic impact (MPa)

\({\sigma _{\text{d}}}\)

The failure strength during cyclic impact (MPa)

\({\dot {\varepsilon }_{\text{f}}}\)

Strain rate during the last impact (m/s)


Density (g/cm3)


Coefficient of correlation


Cycle impact number


Damage value of specimen

\(\varepsilon _{{\hbox{max} }}^{1}\)

The first impact maximum strain of specimen

\(\varepsilon _{{\hbox{max} }}^{n}\)

Instantaneous maximum strain after n cycles

\(\varepsilon _{{\hbox{max} }}^{N}\)

Ultimate maximum strain under cyclic impact



The research presented in this paper was carried out under the jointly financial support of the National Natural Science Foundation of China (no. 51774325), State Key Research Development Program of China (no. 2016YFC0600706), the State Key Program of National Natural Science Foundation of China (no. 41630642) and Innovation-Driven Project of Central South University (no. 2017CX006). The authors would like to thank their colleagues of the Rock Mechanics and Blasting Engineering research group at the Central South University for technical discussion and comments. Also, the authors express their acknowledgements to the anonymous reviewers for their precious comments.


  1. Ackermann RJ, Sorrell CA (2010) Thermal expansion and the highlow transformation in quartz. I. High-temperature X-ray studies. J Appl Crystallogr 7(5):461–467CrossRefGoogle Scholar
  2. Bagde MN, Petros V (2009) Fatigue and dynamic energy behavior of rock subjected to cyclical loading. Int J Rock Mech Min Sci 46:200–209CrossRefGoogle Scholar
  3. Bagde MN, Petroš V (2005) Waveform effect on fatigue properties of intact sandstone in uniaxial cyclical loading. Rock Mech Rock Eng 38(3):169–196CrossRefGoogle Scholar
  4. Behrmann JH, Mainprice D (1987) Deformation mechanisms in a high-temperature quartz-feldspar mylonite: evidence for superplastic flow in the lower continental crust. Tectonophysics 140(2):297–305CrossRefGoogle Scholar
  5. Carroll J, Daly S (2015) Fracture, fatigue, failure, and damage evolution, vol 5. Springer, DordrechtGoogle Scholar
  6. Chen R, Xia K, Dai F et al (2009) Determination of dynamic fracture parameters using a semi-circular bend technique in split Hopkinson pressure bar testing. Eng Fract Mech 76(9):1268–1276CrossRefGoogle Scholar
  7. Das R, Sirdesai N, Singh T (2017) Analysis of deformational behavior of circular underground opening in soft ground using three-dimensional physical model. In: 51st US rock mechanics/geomechanics symposium, San Francisco, California, USA. American Rock Mechanics AssociationGoogle Scholar
  8. Dwivedi RD, Goel RK, Prasad VVR et al (2008) Thermo-mechanical properties of Indian and other granites. Int J Rock Mech Min Sci 45(3):303–315CrossRefGoogle Scholar
  9. Fan LF, Wu ZJ, Wan Z et al (2017) Experimental investigation of thermal effects on dynamic behavior of granite. Appl Therm Eng 125:94–103CrossRefGoogle Scholar
  10. Franklin JA, Vogler UW, Szlavin J, Edmond JM, Bieniawski ZT (1979) Suggested methods for determining water content, porosity, density, absorption and related properties and swelling and slake-durability index properties: Part 1: suggested methods for determining water content, porosity, density, absorption and related properties. Int J Rock Mech Min Sci Geomech Abstr 16(2):143–151CrossRefGoogle Scholar
  11. Ge X, Jiang Y, Lu Y et al (2003) Experimental study on fatigue deformation law of rock under cyclic loading. J Rock Mech Eng 22(10):1581–1581Google Scholar
  12. Grim RE, Kulbicki G (1961) Montmorillonite: high temperature reactions and classification. Am Miner 46:1329–1369Google Scholar
  13. Hajpál M, Török Á. (2004) Mineralogical and colour changes of quartz sandstones by heat. Environ Geol 46(3–4):311–322Google Scholar
  14. Heuze FE (1983) High-temperature mechanical, physical and thermal properties of granitic rocks—a review. Int J Rock Mech Min Sci Geomech Abstr 20(1):3–10CrossRefGoogle Scholar
  15. Homand-Etienne F, Houpert R (1989) Thermally induced microcracking in granites: characterization and analysis. Int J Rock Mech Min Sci Geomech Abstr 26(2):125–134CrossRefGoogle Scholar
  16. ISRM (1978) Commission on standardization of laboratory and field tests of the international society for rock mechanics: “suggested methods for the quantitative description of discontinuities”. Int J Rock Mech Min Sci 15(6):320–368Google Scholar
  17. Jin J, Li X, Wang G, Yin Z (2012) Failure modes and mechanisms of sandstone under cyclic impact loadings. J Cent South Univ 43(4):1453–1461Google Scholar
  18. Karfakis MG, Akram M (1993) Effects of chemical solutions on rock fracturing. Int J Rock Mech Min Sci Geomech Abst 30(7):1253–1259CrossRefGoogle Scholar
  19. Lai JZ, Sun W (2010) Dynamic damage and stress–strain relations of ultra-high performance cementitious composites subjected to repeated impact. Sci China Technol Sci 53(6):1520–1525CrossRefGoogle Scholar
  20. Lajtai EZ (1971) A theoretical and experimental evaluation of the Griffith theory of brittle fracture. Tectonophysics 11(2):129–156CrossRefGoogle Scholar
  21. Li T, Wang L (1993) An experimental study on the deformation and failure features of a blast under unloading condition. J Rock Mech Eng 12(4):321–327Google Scholar
  22. Li XB, Lok TS, Zhao J et al (2000) Oscillation elimination in the Hopkinson bar apparatus and resultant complete dynamic stress–strain curves for rocks. Int J Rock Mech Min Sci 37(7):1055–1060CrossRefGoogle Scholar
  23. Li N, Zhang P, Chen YS, Swoboda G (2003) Fatigue properties of cracked, saturated and frozen sandstone samples under cyclic loading. Int J Rock Mech Min Sci 40(1):145–150CrossRefGoogle Scholar
  24. Li XB, Lok TS, Zhao J (2005) Dynamic characteristics of granite subjected to intermediate loading rate. Rock Mech Rock Eng 38(1):21–39CrossRefGoogle Scholar
  25. Li X, Zou Y, Zhou Z (2014) Numerical simulation of the rock SHPB test with a special shape striker based on the discrete element method. Rock Mech Rock Eng 47(5):1693–1709CrossRefGoogle Scholar
  26. Li X, Gong F, Tao M et al (2017) Failure mechanism and coupled static–dynamic loading theory in deep hard rock mining: a review. J Rock Mech Geotech Eng 9:767–782CrossRefGoogle Scholar
  27. Lima JJDC, Paraguassú AB (2004) Linear thermal expansion of granitic rocks: influence of apparent porosity, grain size and quartz content. Bull Eng Geol Environ 63(3):215–220Google Scholar
  28. Liu E, He S (2012) Effects of cyclic dynamic loading on the mechanical properties of intact rock samples under confining pressure conditions. Eng Geol 125(1):81–91CrossRefGoogle Scholar
  29. Liu S, Xu J (2013) Study on dynamic characteristics of marble under impact loading and high temperature. Int J Rock Mech Min Sci 62(5):51–58CrossRefGoogle Scholar
  30. Liu S, Xu J (2015) An experimental study on the physico-mechanical properties of two post-high-temperature rocks. Eng Geol 185(4):63–70CrossRefGoogle Scholar
  31. Liu J, Xie H, Hou Z et al (2014) Damage evolution of rock salt under cyclic loading in unixial tests. Acta Geotech 9(1):153–160CrossRefGoogle Scholar
  32. Luo X, Jiang N, Wang M et al (2015) Response of leptynite subjected to repeated impact loading. Rock Mech Rock Eng 49:1–5Google Scholar
  33. Nasseri MHB, Schubnel A, Young RP (2007) Coupled evolutions of fracture toughness and elastic wave velocities at high crack density in thermally treated Westerly granite. Int J Rock Mech Min Sci 44(4):601–616CrossRefGoogle Scholar
  34. Peng Z, Redfern SAT (2013) Mechanical properties of quartz at the α–β phase transition: implications for tectonic and seismic anomalies. Geochem Geophys Geosyst 14(1):18–28CrossRefGoogle Scholar
  35. Ranjith PG, Viete DR, Chen BJ et al (2012) Transformation plasticity and the effect of temperature on the mechanical behaviour of Hawkesbury sandstone at atmospheric pressure. Eng Geol 151(151):120–127Google Scholar
  36. Ray SK, Sarkar M, Singh TN (1999) Effect of cyclic loading and strain rate on the mechanical behaviour of sandstone. Int J Rock Mech Min Sci 36(4):543–549CrossRefGoogle Scholar
  37. Roddy DJ, Younger PL (2010) Underground coal gasification with CCS: a pathway to decarbonising industry. Energy Environ Sci 3(4):400–407CrossRefGoogle Scholar
  38. Schaefer L, Kendrick J, Lavallée Y et al (2015) Geomechanical rock properties of a basaltic volcano. Front Earth Sci 3(29):29Google Scholar
  39. Shan R, Zhu Z (1998) A study on the impact failure pattern of marble and granite. J Rock Mech Eng 17(Suppl.):774–779Google Scholar
  40. Shan R, Jiang Y, Li B (2000) Obtaining dynamic complete stress–strain curves for rock using the Split Hopkinson Pressure Bar technique. Int J Rock Mech Min Sci 37(6):983–992CrossRefGoogle Scholar
  41. Sun B, Zhu Z, Shi C et al (2017) Dynamic mechanical behavior and fatigue damage evolution of sandstone under cyclic loading. Int J Rock Mech Min Sci 94:82–89CrossRefGoogle Scholar
  42. Tao J, Zhang F et al (2003) An experimental method for studying dynamic unloading property of material. Explos Shock 23(5):436–441Google Scholar
  43. Tian H, Ziegler M, Kempka T (2014) Physical and mechanical behavior of claystone exposed to temperatures up to 1000 °C. Int J Rock Mech Min Sci 70:144–153CrossRefGoogle Scholar
  44. Tian H, Mei G, Jiang GS et al (2017) High-temperature influence on mechanical properties of diorite. Rock Mech Rock Eng 50(6):1–6CrossRefGoogle Scholar
  45. Wang ZL, Zhu HH, Wang JG (2013) Repeated-impact response of ultrashort steel fiber reinforced concrete. Exp Tech 37(4):6–13CrossRefGoogle Scholar
  46. Wu B, Kanopoulos P, Luo X et al (2014) An experimental method to quantify the impact fatigue behavior of rocks[J]. Meas Sci Technol 25(7):075002CrossRefGoogle Scholar
  47. Xiao JQ, Ding DX, Xu G et al (2009) Inverted S-shaped model for nonlinear fatigue damage of rock. Int J Rock Mech Min Sci 46(3):643–648CrossRefGoogle Scholar
  48. Xiao JQ, Ding DX, Jiang FL et al (2010) Fatigue damage variable and evolution of rock subjected to cyclic loading. Int J Rock Mech Min Sci 47(3):461–468CrossRefGoogle Scholar
  49. Yao W, Xu Y, Wang W et al (2016) Dependence of dynamic tensile strength of Longyou sandstone on heat-treatment temperature and loading rate. Rock Mech Rock Eng 49(10):1–17CrossRefGoogle Scholar
  50. Yin T, Li X, Xia K et al (2012) Effect of thermal treatment on the dynamic fracture toughness of Laurentian Granite. Rock Mech Rock Eng 45(6):1087–1094CrossRefGoogle Scholar
  51. Yin T, Li X, Cao W et al (2015) Effects of thermal treatment on tensile strength of Laurentian Granite using Brazilian test. Rock Mech Rock Eng 48(6):2213–2223CrossRefGoogle Scholar
  52. Yin T, Wang P, Li X et al (2016) Determination of dynamic flexural tensile strength of thermally treated Laurentian Granite using semi-circular specimens. Rock Mech Rock Eng 49:3887–3898CrossRefGoogle Scholar
  53. Yin T, Bai L, Li X et al (2018) Effect of thermal treatment on the mode I fracture toughness of granite under dynamic and static coupling load. Eng Fract Mech 199:143–158CrossRefGoogle Scholar
  54. Zhang QB, Zhao J (2014) A review of dynamic experimental techniques and mechanical behaviour of rock materials. Rock Mech Rock Eng 47(4):1411–1478CrossRefGoogle Scholar
  55. Zhang ZX, Yu J, Kou SQ et al (2001) Effects of high temperatures on dynamic rock fracture. Int J Rock Mech Min Sci 38(2):211–225CrossRefGoogle Scholar
  56. Zhao Z (2016) Thermal influence on mechanical properties of granite: a microcracking perspective. Rock Mech Rock Eng 49(3):747–762CrossRefGoogle Scholar
  57. Zhao J, Li HB (2000) Experimental determination of dynamic tensile properties of a granite. Int J Rock Mech Min Sci 37(5):861–866CrossRefGoogle Scholar
  58. Zhou Z, Li X, Liu A et al (2011) Stress uniformity of split Hopkinson pressure bar under half-sine wave loads. Int J Rock Mech Min Sci 48(4):697–701CrossRefGoogle Scholar
  59. Zhou YX, Xia K, Li XB et al (2012) Suggested methods for determining the dynamic strength parameters and mode-I fracture toughness of rock materials. Int J Rock Mech Min Sci 49(1):105–112CrossRefGoogle Scholar
  60. Zhou Z, Jiang Y, Zou Y et al (2014) Degradation mechanism of rock under impact loadings by integrated investigation on crack and damage development. J Cent South Univ 21(12):4646–4652CrossRefGoogle Scholar
  61. Zhou Z, Cai X, Chen L et al (2017a) Influence of cyclic wetting and drying on physical and dynamic compressive properties of sandstone. Eng Geol 220:1–12CrossRefGoogle Scholar
  62. Zhou Z, Zhao Y, Jiang Y et al (2017b) Dynamic behavior of rock during its post failure stage in SHPB tests. Trans Nonferr Metals Soc China 27(1):184–196CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2018

Authors and Affiliations

  • Pin Wang
    • 1
  • Tubing Yin
    • 1
    Email author
  • Xibing Li
    • 1
  • Shuaishuai Zhang
    • 1
  • Lv Bai
    • 1
  1. 1.School of Resources and Safety EngineeringCentral South UniversityChangshaChina

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