Advertisement

Modeling Grain Size Heterogeneity Effects on Mechanical Behavior of Crystalline Rocks Under Compressive Loading

  • Jun Peng
  • Louis Ngai Yuen WongEmail author
  • Cee Ing Teh
Conference paper

Abstract

Strength and deformation behavior of intact rocks is influenced by a large number of factors, notably mineralogical content. If the constituent minerals are strong, the overall rock strength will be high, and vice versa. The prediction of rock properties of those composed of different types and amounts of minerals will be difficult. This paper presents a numerical approach to study the influence of material heterogeneity associated with the variation of grain size distribution and shape on the strength and deformation behavior of a felsic crystalline rock. By taking advantage of a grain-based modeling approach in two-dimensional Particle Flow Code, a heterogeneity index is defined and explicitly incorporated into the numerical models quantitatively. The numerical results reveal that the peak strength increases as the numerical model gradually changes the character of the rock from heterogeneous to homogeneous. The number of grain boundary tensile cracks gradually decreases and the number of intra-grain cracks increases at the moment of failure. The orientation of grain boundary micro-cracks is mainly controlled by the geometry of assembled grain structure of the numerical model, while the orientation of intra-grain micro-cracks is to a large degree influenced by the confinement. In addition, the development of intra-grain cracks (both tensile and shear) is much more favored in quartz than in other minerals. The findings of this study provide insights to the interpretation of rock properties, particularly those which are strongly influenced by the heterogeneous mineralogical composition.

Keywords

Material heterogeneity Grain-based model Grain boundary micro-crack Intra-grain micro-crack Orientation 

Notes

Acknowledgements

The authors acknowledge the support from the HKU Start-up Fund, Seed Funding Program for Basic Research for New Staff at the University of Hong Kong, the General Research Fund 2017/18 (Grant no. 17303917) of the Research Grants Council (Hong Kong), and the National Natural Science Foundation of China (Grant no. 51609178).

References

  1. Bahrani, N., Kaiser, P.K., Valley, B.: Distinct element method simulation of an analogue for a highly interlocked, non-persistently jointed rockmass. Int. J. Rock Mech. Min. 71, 117–130 (2014)CrossRefGoogle Scholar
  2. Bewick, R.P., Kaiser, P.K., Bawden, W.F.: DEM simulation of direct shear: 2. grain boundary and mineral grain strength component influence on shear rupture. Rock Mech. Rock Eng. 47(5), 1673–1692 (2014)CrossRefGoogle Scholar
  3. Blair, S.C., Cook, N.G.W.: Analysis of compressive fracture in rock using statistical techniques: part I. A non-linear rule-based model. Int. J. Rock Mech. Min. 35(7), 837–848 (1998)Google Scholar
  4. Brace, W.F., Paulding, B.W., Scholz, C.: Dilatancy in the fracture of crystalline rocks. J. Geophys. Res. 71(16), 3939–3953 (1966)CrossRefGoogle Scholar
  5. Eberhardt, E., Stead, D., Stimpson, B., Read, R.: Identifying crack initiation and propagation thresholds in brittle rock. Can. Geotech. J. 35(2), 222–233 (1998)CrossRefGoogle Scholar
  6. Fredrich, J.T., Evans, B., Wong, T.F.: Effect of grain size on brittle and semibrittle strength: implications for micromechanical modelling of failure in compression. J. Geophys. Res. Solid Earth 95(B7), 10907–10920 (1990)CrossRefGoogle Scholar
  7. Güneş Yılmaz, N., Mete Goktan, R., Kibici, Y.: Relations between some quantitative petrographic characteristics and mechanical strength properties of granitic building stones. Int. J. Rock Mech. Min. 48(3), 506–513 (2011)CrossRefGoogle Scholar
  8. Hofmann, H., Babadagli, T., Yoon, J.S., Zang, A., Zimmermann, G.: A grain based modeling study of mineralogical factors affecting strength, elastic behavior and micro fracture development during compression tests in granites. Eng. Fract. Mech. 147, 261–275 (2015)CrossRefGoogle Scholar
  9. Lan, H.X., Martin, C.D., Hu, B.: Effect of heterogeneity of brittle rock on micromechanical extensile behavior during compression loading. J. Geophys. Res. Solid Earth 115(B01202), 1–14 (2010)Google Scholar
  10. Mahabadi, O.K., Tatone, B.S.A., Grasselli, G.: Influence of microscale heterogeneity and microstructure on the tensile behavior of crystalline rocks. J. Geophys. Res. Solid Earth 119(7), 5324–5341 (2014)CrossRefGoogle Scholar
  11. Manouchehrian, A., Cai, M.: Influence of material heterogeneity on failure intensity in unstable rock failure. Comput. Geotech. 71, 237–246 (2016)CrossRefGoogle Scholar
  12. Martin, C.D., Chandler, N.A.: The progressive fracture of Lac du Bonnet granite. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 31(6), 643–659 (1994)Google Scholar
  13. Moore, D.E., Lockner, D.A.: The role of microcracking in shear-fracture propagation in granite. J. Struct. Geol. 17(1), 95–114 (1995)CrossRefGoogle Scholar
  14. Peng, J., Wong, L.N.Y., Teh, C.I., Li, Z.: Modeling micro-cracking behavior of Bukit Timah granite using grain-based model. Rock Mech. Rock Eng. 51(1), 135–154 (2018)CrossRefGoogle Scholar
  15. Potyondy, D.O., Cundall, P.A.: A bonded-particle model for rock. Int. J. Rock Mech. Min. 41(8), 1329–1364 (2004)CrossRefGoogle Scholar
  16. Potyondy, D.O.: A grain-based model for rock: approaching the true microstructure. In: Li, C.C. (eds.) Proceedings of the rock mechanics in the Nordic countries, pp. 225–234. Norwegian Group for Rock Mechanics, Kongsberg, Norway (2010)Google Scholar
  17. Sajid, M., Coggan, J., Arif, M., Andersen, J., Rollinson, G.: Petrographic features as an effective indicator for the variation in strength of granites. Eng. Geol. 202, 44–54 (2016)CrossRefGoogle Scholar
  18. Schlangen, E., Garboczi, E.J.: Fracture simulations of concrete using lattice models: computational aspects. Eng. Fract. Mech. 57(2–3), 319–332 (1997).  https://doi.org/10.1016/S0013-7944(97)00010-6CrossRefGoogle Scholar
  19. Tang, C.A., Liu, H., Lee, P.K.K., Tsui, Y., Tham, L.G.: Numerical studies of the influence of microstructure on rock failure in uniaxial compression—part I: effect of heterogeneity. Int. J. Rock Mech. Min. 37(4), 555–569 (2000)CrossRefGoogle Scholar
  20. Tullis, J., Yund, R.A.: Experimental deformation of dry westerly granite. J. Geophys. Res. 82(36), 5705–5718 (1977)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Jun Peng
    • 1
  • Louis Ngai Yuen Wong
    • 2
    Email author
  • Cee Ing Teh
    • 3
  1. 1.Wuhan UniversityWuhanChina
  2. 2.The University of Hong KongHong KongChina
  3. 3.Nanyang Technological UniversitySingaporeSingapore

Personalised recommendations