Abstract
The shearing behaviour of reproduced flat LBS grains artificially bonded with ordinary Portland cement (OPC) and plaster of Paris (PP) was examined using micromechanical experiments. Monotonic shearing tests showed a distinct variation in the load–displacement relationship at low, medium and high normal loads, and a nonlinear shear strength envelope was proposed. For OPC-bonded sand grains, a brittle–ductile transition at 20–30 N normal load was observed and three breakage mechanisms in shearing (chipping, shear cracks and crushing) were distinguished in accordance with the changes in the load–displacement curves. OPC-bonded sands showed a predominant dilation at lower normal loads, whereas PP-bonded sands were highly compressive. Based on previously published works using element-scale tests, a new mechanism for dilation under micromechanical testing was proposed in the study. Cyclic shearing tests were conducted on OPC-bonded sands, and the effects of increased displacement amplitude and normal load were highlighted.
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Abbreviations
- LBS:
-
Leighton Buzzard sand
- PP:
-
Plaster of Paris
- LBPP:
-
LBS bonded with PP
- NCDT:
-
Non-contact displacement transducer
- OPC:
-
Ordinary Portland cement
- LBOC:
-
LBS bonded with OPC
- F N :
-
Normal load
- F T,PK :
-
Peak tangential load
- D T :
-
Tangential displacement
- K T,0 :
-
Tangnetial stiffness at small displacements
- D cyc :
-
Displacement amplitude for cyclic shearing
- S q :
-
Surface roughness
- F T :
-
Tangential load
- F T,SS :
-
Steady-state tangential load
- K T :
-
Tangential stiffness
- φ :
-
Friction angle
- c :
-
Cohesion
- DN :
-
Normal displacement
References
Acar YB, El-Tahir AE (1986) Low strain dynamic properties of artificially sands. J Geotech Eng ASCE 112(11):1001–1015
Alvarado G, Lui N, Coop MR (2012) Effect of fabric on the behaviour of reservoir sandstones. Can Geotech J 49(9):1036–1051
Anagnostopoulos AG, Kalteziotis N, Tsiambaos GK, Kavvadas M (1991) Geotechnical properties of the Cornith Canal marls. Geotech Geol Eng 9(1):1–26
Atkinson J (1993) An introduction to the mechanics of soils and foundations. McGraw-Hill international series in civil engineering. McGraw-Hill, New York
Barton N (1976) The shear strength of rock and rock joints. Int J Rock Mech Min Sci Geomech Abstr 13(9):255–279
Barton N (2016) Non-linear shear strength for rock, rock joints, rockfill and interfaces. Innov Infrastruct Solut 1:30
Been K, Jefferies M (2004) Stress-dilatancy in very loose sand. Can Geotech J 41:972–989
Bolton MD (1986) The strength and dilatancy of sands. Geotechnique 20(1):65–78
Byerlee JD (1968) Brittle–ductile transition in rocks. J Geophys Res 73:4741–4750
Chang CS, Kabir MG (1994) Mechanics for brittle and ductile behavior of cemented sands. In: Proceedings of XIII ICSMFE, New Delhi, pp 369–372
Cheung LYG, O’Sullivan C, Coop MR (2013) Discrete element method simulations of analogue reservoir sandstones. Int J Rock Mech Min Sci 63:93–103
Chiu CC, Weng MC, Huang TH (2015) Biconcave bond model for cemented granular material. J GeoEng 10(3):91–103
Clough GW, Iwabuchi J, Rad NS, Kuppusamy T (1979) Silicate-stabilized sands. J Geotech Eng ASCE 105(1):65–82
Clough GW, Sitar N, Bachus RC (1981) Cemented sand under static loading. J Geotech Eng Div ASCE 107(6):799–817
Consoli NC, Foppa D, Festugato L, Heineck KS (2007) Key parameters for strength control of artificially cemented soils. J Geotech Geoenviron Eng 133(2):197–205
Coop MR, Atkinson JH (1993) The mechanics of cemented carbonate sands. Géotechnique 43(1):53–67
Coop MR, Wilson SM (2003) Behaviour of hydrocarbon reservoir sands and sandstones. J Geotech Geoenviron Eng 129(11):1010–1019
Cuccovillo T, Coop MR (1999) On the mechanics of structured sands. Geotechnique 49(6):741–760
Cui MJ, Zheng JJ, Zhang RJ, Lai HJ, Zhang J (2017) Influence of cementation level on the strength behaviour of bio-cemented sand. Acta Geotech 12:971–986
Das A, Tengattini A, Nguyen G, Einav I (2013) A micromechanics based model for cemented granular materials. In: Yang Q et al (eds) Constitutive modeling of geomaterials, Springer Serier in Geomechanics Geoengineering pp. Springer, Berlin, Heidelberg, pp 527–534. https://doi.org/10.1007/978-3-642-32814-5_71
de Bono J, McDowell G, Wanatowski D (2015) Investigating the micro mechanics of cemented sand using DEM. Int J Numer Anal Methods Geomech 39(6):655–675
Duan K, Kwok CY, Ma X (2017) DEM simulations of sandstone under true triaxial compressive tests. Acta Geotech 12:495–510
Haeri SM, Hamidi A, Hosseini SM, Asghari E, Toll DG (2006) Effect of cement type on the mechanical behaviour of a gravely sand. Geotech Geol Eng J 24(2):335–360
Haeri SM, Hosseini SM, Toll DG, Yasrebi SS (2005) The behaviour of an artificially cemented sandy gravel. Geotech Geol Eng J 23(5):537–560
Hamidi A, Haeri SM (2008) Stiffness and deformation characteristics of a cemented gravely sand. Int J Civ Eng 6(3):159–173
Hoek E, Brown ET (1980) Empirical strength criterion for rock masses. J Geotech Eng Div ASCE 106(9):1013–1025
Hoek E, Brown ET (1988) The Hoek–Brown failure criterion—a 1988 update. In: Proceedings of the 15th Canadian rock mechanics symposium, pp 31–38
Jiang MJ, Jin SL, Shen ZF, Liu W, Coop MR (2015) Preliminary experimental study on three-dimensional contact behavior of bonded granules. IOP Conf Ser Earth Environ Sci 26(1):012007
Jiang MJ, Sun YG, Li LQ, Zhu HH (2012) Contact behaviour of idealized granules bonded in two different interparticle distances: an experimental investigation. Mech Mater 55:1–15
Lade PV, Overton DD (1989) Cementation effects in frictional material. J Geotech Eng ASCE 115:1373–1387
Lade PV, Yamamuro JA (1996) Undrained sand behaviour in axisymmetric tests at high pressures. J Geotech Eng ASCE 122(4):309–316
Lambe TW (1960) A mechanical picture of shear strength in clay. In: Research conference on shear strength of cohesive soils. University Colorado Press, Boulder, CO, pp 555–580
Leroueil S, Vaughan PR (1990) The general and congruent effects of structure in natural soils and weak rocks. Geotechnique 40(3):467–488
Li Z, Wang YH, Ma CH, Mok CMB (2017) Experimental characterization and 3D DEM simulation of bond breakages in artificially cemented sands with different bond strengths when subjected to triaxial shearing. Acta Geotech 12:987–1002
Lo SCR, Lade PV, Wardani SPR (2003) An experimental study of the mechanics of two weakly cemented soils. Geotech Test J 26(3):328–341
Menendez B, Zhu W, Wong TF (1996) Micromechanics of brittle faulting and cataclastic flow in Brea sandstone. J Struct Geol 18(1):1–16
Mitchell J, Soga K (2005) Fundamentals of soil behaviour, 3rd edn. Wiley, New York
Mogi K (1966) On the pressure dependence of strength of rocks and the Coulomb fracture criterion. Tectonophysics 21(3):273–285
Muir Wood D (2007) Soil behaviour and critical state soil mechanics. Cambridge University Press, Cambridge
Nardelli V, Coop MR (2019) The experimental contact behaviour of natural sands: normal and tangential loading. Geotechnique 69(8):672–686
Rios S, da Fonseca AV, Baudet BA (2014) On the shearing behaviour of an artificially cemented soil. Acta Geotech 9:215–226
Rowe PW (1962) The stress-dilatancy relation for static equilibrium of an assembly of particles in contact. Proc R Soc Lond A 269:500–527
Rowe PW, Oates DB, Skermer NA (1964) The stress-dilatancy performance of two clays. In: STP361-EB Laboratory shear testing of soils pp 134–146. ASTM International. https://doi.org/10.1520/STP29990S
Sandeep CS, Senetakis K (2018) Grain-scale mechanics of quartz sand under normal and tangential loading. Tribol Int 117:261–271
Santamarina JC, Klein A, Fam MA (2001) Soils and waves: particulate material behaviour, characterization and process monitoring. J Soils Sedim 1(2):196
Saxena SK, Lastrico RM (1978) Static properties of lightly cemented sand. J Geotech Eng Div ASCE 4(12):1449–1464
Schnaid F, Prietto PDM, Consoli NC (2001) Characterization of cemented sand in triaxial compression. J Geotech Geoenviron Eng 127(10):857–868
Senetakis K, Coop MR, Todisco MC (2013) Tangential load-deflection behaviour at the contact of soil particles. Geotech Lett 3(2):59–66
Shen B, Shi J, Barton N (2018) An approximate nonlinear modified Mohr–Coulomb shear strength criterion with critical state for intact rocks. J Rock Mech Geotech Eng 10:645–652
Shi Z, Jiang T, Jiang M, Liu F, Zhang N (2015) DEM investigation of weathered rocks using a novel bond contact model. J Rock Mech Geotech Eng 7:327–336
Taylor DW (1948) Fundamentals of soil mechanics. Wiley, New York
Terzis D, Laloui L (2019) Cell-free soil bio-cementation with strength, dilatancy and fabric characterization. Acta Geotech 14:639–656
Tian Y, Liu Q, Ma H, Liu Q, Deng P (2018) New peak shear strength model for cement filled rock joints. Eng Geol 233:269–280
Trivedi A (2010) Strength and dilatancy of jointed rocks with granular fill. Acta Geotech 5:15–31
Wang W, Coop MR (2016) An investigation of breakage behaviour of single sand particles using a high-speed microscope camera. Geotechnique 66(12):984–998
Wang W, Coop MR, Senetakis K (2019) The development of a micromechanical apparatus applying combined normal–shear–bending forces to natural sand grains with artificial bonds. Geotech Test J 42(4):1090–1099. https://doi.org/10.1520/GTJ20170453
Wang W, Nardelli V, Coop MR (2017) Micro-mechanical behaviour of artificially cemented sands under compression and shear. Geotech Lett 7:218–224
Wang YH, Leung SC (2008) A particulate-scale investigation of cemented sand behaviour. Can Geotech J 45(1):29–44
Wang YH, Leung SC (2008) Characterization of cemented sand by experimental and numerical investigations. J Geotech Geoenviron Eng 134(7):992–1004
Wong TF, Baud P (2012) The brittle–ductile transition in porous rock: a review. J Struct Geol 44:25–53
Wu S, Zhang S, Guo C, Xiong L (2017) A generalized nonlinear failure criterion for frictional materials. Acta Geotech 12:1353–1371
Yu HS, Tan SM, Schnaid F (2007) A critical state framework for modelling bonded geomaterials. Geomech Geoeng Int J 2(1):61–74
Acknowledgements
The work described in this article was fully supported by the Grants from the Research Grants Council of the Hong Kong Special Administrative Region, China, Project No. “CityU11210419” and Project No. “CityU 11214218”. The mechanical modification of the apparatus was supported by the technical staff of Engineering Workshop, Mr. Wong and Mr. Thomas, from Architecture and Civil Engineering Department at City University of Hong Kong.
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Appendix
Appendix
1.1 A Crushing load tests
Crushing tests were conducted on both LBOC and LBPP specimens using a modified CBR apparatus available at City University of Hong Kong. This apparatus was used for single-particle crushing tests on various natural geological materials like LBS and CDG [55]. A representative set of 15 samples of each LBOC and LBPP specimens were tested for crushing load. From the method of specimen preparation, it is expected that the LBOC specimens have strong and hard bond, while the LBPP specimens have weak and soft bond, and this distinct bond nature influences their crushing loads and behaviour.
Figure S2 shows the comparison of load–displacement curves between LBOC and LBPP specimens. The crushing phenomenon was straightforward for LBOC specimens where they showed brittle mode of crushing, and there was a sudden drop in the normal load after the first crack was observed, whereas the LBPP particles showed ductile behaviour with hardening to be observed even after the formation of cracks. A squeezing phenomenon was observed in the plaster as the specimen was compressed, and in both the bonding types, it was the bonding material that failed the specimen but not the LBS grains. Wang et al. [56] also observed a similar phenomenon in crushing artificially bonded LBS gains. The normal load at which the first crack occurred on the OPC-bonded particles (FN = 220 N) is almost two times that of PP-bonded particles (FN = 114 N), but for a given normal load below the crushing load, the displacement is always higher for LBPP than LBOC. The higher strength and stiffness for OPC-bonded particles qualifies them to be “strong and hard cementation”, while the lower strength and stiffness for PP-bonded particles qualifies them to be “weak and soft cementation”.
1.2 B Tensile load tests
Tensile load tests were conducted on the new micromechanical loading apparatus (Sect. 3). The top and bottom grains of the specimen were glued to the respective mounts on the apparatus with a minimum normal load applied (around 0.1 N) to ensure firm contact between the specimen and the mounts. After the preparation of the cemented samples, the extension tests were conducted to measure the tensile strength of the specimens. In general, these tests showed a brittle behaviour with a sudden drop of the load after reaching a peak value. The average tensile load at which the bond breakage occurred for LBOC specimens was 1.71 N, and the breakage occurred at a very low extension of around 1.25 μm indicating the brittle nature of the bond. The normal load–extension curve for a representative specimen is shown in Figure S3, while the LBPP particles did not show any recordable tensile load during the separation of the bonding.
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Kasyap, S.S., Senetakis, K., Coop, M.R. et al. Micromechanical behaviour in shearing of reproduced flat LBS grains with strong and weak artificial bonds. Acta Geotech. 16, 1355–1376 (2021). https://doi.org/10.1007/s11440-020-01101-9
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DOI: https://doi.org/10.1007/s11440-020-01101-9