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Method to Address Brittle Rock Strength Scatter Through Fracture Density

  • Jie WangEmail author
  • Fengshan Ma
Technical Note
First Online:
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Introduction

Rock strength is an important criterion for the classification of rocks to optimize construction usage and surface or subsurface structure designs (Yilmaz 2009). Strength criteria include peak strength criteria, residual strength criteria, and yield strength criteria. The criteria are usually mathematical relations between various stress or strain components that belong to one point in the stress or strain field. However, the relation could be confused by many factors, which often make it inconceivable. These factors can be divided into three groups: (1) composition of the specimen, such as mineral composition, and arrangement of the mineral grains and cracks (Hattiangadi and Bandyopadhyay 2000) and formation conditions (Rajabzadeh et al. 2012); (2) geometrical conditions, such as size (Darlington et al. 2011) and shape (Malaikah 2005; del Viso et al. 2008); (3) external damage conditions, such as load path (Yang et al. 2011; Erarslan and Williams 2012), load rate...

Keywords

Fracture density Size effect New strength index Peak load 
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Notes

Acknowledgements

This research was supported by the State Key National Program of Natural Science of China (Grant no. 41602317), the Project of Training and Subsidizing of Talented Young Backbone of Beijing (Grant no. 2015000020124G021), and the Young Talent Training Scheme of North China University of Technology. We would like to express our deep appreciation for their support.

References

  1. Akin ID, Likos WJ (2014) Specific surface area of clay using water vapor and EGME sorption methods. Geotech Test J 37:1016–1027CrossRefGoogle Scholar
  2. Carpinteri A, Corrado M, Lacidogna G (2013) Heterogeneous materials in compression: correlations between absorbed, released and acoustic emission energies. Eng Fail Anal 33:236–250CrossRefGoogle Scholar
  3. Chattopadhyay L, Jain PK (2016) Energy release rate for constrained and unconstrained modes in a delaminated beam-plate subjected to compressive load. Arch Appl Mech 86:907–919CrossRefGoogle Scholar
  4. Cheng J-L, Yang S-Q, Chen K, Ma D, Li F-Y, Wang L-M (2017) Uniaxial experimental study of the acoustic emission and deformation behavior of composite rock based on 3D digital image correlation (DIC). Acta Mech Sin 33:999–1021CrossRefGoogle Scholar
  5. Dang F, Lei G, Wei N, Li Q (2014) CT tests for dynamic behavior of concrete with mesoscopic structure. J Vib Shock 33(24):58–63Google Scholar
  6. Darlington W, Ranjith P, Choi SK (2011) The effect of specimen size on strength and other properties in laboratory testing of rock and rock-like cementitious brittle materials. Rock Mech Rock Eng 44:513–529CrossRefGoogle Scholar
  7. Davidson P, Waas AM, Yerramalli CS (2012) Experimental determination of validated, critical interfacial modes I and II energy release rates in a composite sandwich panel. Compos Struct 94:477–483CrossRefGoogle Scholar
  8. del Viso JR, Carmona JR, Ruiz G (2008) Shape and size effects on the compressive strength of high-strength concrete. Cem Concr Res 38:386–395CrossRefGoogle Scholar
  9. Erarslan N, Williams DJ (2012) Investigating the effect of cyclic loading on the indirect tensile strength of rocks. Rock Mech Rock Eng 45:327–340CrossRefGoogle Scholar
  10. Funatsu T, Kuruppu M, Matsui K (2014) Effects of temperature and confining pressure on mixed-mode (I–II) and mode II fracture toughness of Kimachi sandstone. Int J Rock Mech Min Sci 67:1–8CrossRefGoogle Scholar
  11. Hattiangadi A, Bandyopadhyay A (2000) Strength degradation of nonrandom porous ceramic structures under uniaxial compressive loading. J Am Ceram Soc 83:2730–2736CrossRefGoogle Scholar
  12. Heister K (2014) The measurement of the specific surface area of soils by gas and polar liquid adsorption methods-Limitations and potentials. Geoderma 216:75–87CrossRefGoogle Scholar
  13. Li Y, Li J (2015) Relationship between fracture area and tensile strength of cement paste with supplementary cementitious materials. Constr Build Mater 79:223–228CrossRefGoogle Scholar
  14. Li H, Li J, Liu B, Li J, Li S, Xia X (2013) Direct tension test for rock material under different strain rates at quasi-static loads. Rock Mech Rock Eng 46:1247–1254CrossRefGoogle Scholar
  15. Li X, Feng F, Li D, Du K, Ranjith PG, Rostami J (2018) Failure characteristics of granite influenced by sample height-to-width ratios and intermediate principal stress under true-triaxial unloading conditions. Rock Mech Rock Eng 51:1321–1345CrossRefGoogle Scholar
  16. Liang WG, Xu SG, Zhao YS (2006) Experimental study of temperature effects on physical and mechanical characteristics of salt rock. Rock Mech Rock Eng 39:469–482CrossRefGoogle Scholar
  17. Liu N, Hong JW, Pidaparti R, Wang XQ (2016) Fracture patterns and the energy release rate of phosphorene. Nanoscale 8:5728–5736CrossRefGoogle Scholar
  18. Mahanta B, Tripathy A, Vishal V, Singh TN, Ranjith PG (2017) Effects of strain rate on fracture toughness and energy release rate of gas shales. Eng Geol 218:39–49CrossRefGoogle Scholar
  19. Maizel IV, Sokolov IB (1994) Strength of brittle materials of the concrete and rock type under triaxial compression. Hydrotech Constr 28:329–332CrossRefGoogle Scholar
  20. Malaikah AS (2005) Effect of specimen size and shape on the compressive strength of high strength concrete. Pertanika J Sci Technol 13:87–96Google Scholar
  21. Marzi S (2012) Measuring the critical energy release rate in mode II of tough, structural adhesive joints using the tapered end-notched flexure (TENF) test. Eur Phys J Spec Top 206:35–40CrossRefGoogle Scholar
  22. Matzl M, Schneebeli M (2010) Stereological measurement of the specific surface area of seasonal snow types: comparison to other methods, and implications for mm-scale vertical profiling.Cold Reg Sci Technol 64:1–8CrossRefGoogle Scholar
  23. Michel F, Courard L (2014) Particle size distribution of limestone fillers: granulometry and specific surface area investigations. Part Sci Technol 32:334–340CrossRefGoogle Scholar
  24. Mokhnachev MP, Gromova NV (1970) Laws of variation of tensile strength indices and deformation properties of rocks with rate and duration of loading. Sov Min Sci 6:609–612CrossRefGoogle Scholar
  25. Nielsen S, Spagnuolo E, Violay M, Smith S, Di Toro G, Bistacchi A (2016) G: fracture energy, friction and dissipation in earthquakes. J Seismol 20:1187–1205CrossRefGoogle Scholar
  26. Nikitin YI, Petasyuk GA (2008) Specific surface area determination methods, devices, and results for diamond powders. J Superhard Mater 30:58–70CrossRefGoogle Scholar
  27. Rajabzadeh MA, Moosavinasab Z, Rakhshandehroo G (2012) Effects of rock classes and porosity on the relation between uniaxial compressive strength and some rock properties for carbonate rocks. Rock Mech Rock Eng 45:113–122CrossRefGoogle Scholar
  28. Steffensen S, Jensen HM (2014) Energy release rate for circular crack due to indentation in a brittle film on a ductile substrate. Eur J Mech A Solids 43:133–141CrossRefGoogle Scholar
  29. Torabi A, Zarifi Z (2014) Energy release rate of propagating deformation bands and their hosted cracks. Int J Rock Mech Min Sci 67:184–190CrossRefGoogle Scholar
  30. Valvo PS (2016) On the calculation of energy release rate and mode mixity in delaminated laminated beams. Eng Fract Mech 165:114–139CrossRefGoogle Scholar
  31. Wang Q, Chen J, Guo J, Luo Y, Wang H, Liu Q (2017) Acoustic emission characteristics and energy mechanism in karst limestone failure under uniaxial and triaxial compression. Bull Eng Geol Environ 3:1–16Google Scholar
  32. Welsh E, Anderson P, Rea P (2014) A novel method of anatomical data acquisition using the Perceptron ScanWorks V5 scanner. Int J Recent Innov Trends Comput Commun 2:2265–2276Google Scholar
  33. Wu J, Wang E, Ren X, Zhang M (2017) Size effect of concrete specimens on the acoustic emission characteristics under uniaxial compression conditions. Adv Mater Sci Eng 2017:1–12Google Scholar
  34. Yang SQ, Jing HW, Li YS, Han LJ (2011) Experimental investigation on mechanical behavior of coarse marble under six different loading. Paths Exp Mech 51:315–334CrossRefGoogle Scholar
  35. Yilmaz I (2009) A new testing method for indirect determination of the unconfined compressive strength of rocks. Int J Rock Mech Min Sci 46:1349–1357CrossRefGoogle Scholar
  36. Zhang Z, Zhang R, Xie H, Liu J, Were P (2015) Differences in the acoustic emission characteristics of rock salt compared with granite and marble during the damage evolution process. Environ Earth Sci 73:6987–6999CrossRefGoogle Scholar
  37. Zhang J, Ai C, Li Y-w, Che M-g, Gao R, Zeng J (2018) Energy-based brittleness index and acoustic emission characteristics of anisotropic coal under triaxial stress condition. Rock Mech Rock Eng 51:3343–3360CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Civil EngineeringNorth China University of TechnologyBeijingChina
  2. 2.Key Laboratory of Shale Gas and Geoengineering, Institute of Geology and GeophysicsChinese Academy of SciencesBeijingChina

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