Abstract
The rate-dependent mechanical properties of a specific geomaterial play a crucial role in engineering design and application. However, there have been very few studies involving rate-dependent mechanical properties of calcareous sand particles. This present investigation aims to study the rate-dependent breakage behavior of calcareous sand particles experimentally and numerically. Experimental tests were conducted under various loading rates. Moreover, the discrete element method was utilized in particle crushing tests to assess the breakage sub-processes. The experimental results reveal that the particle crushing strengths conform to the Weibull distribution. As the loading rates increase, the fragmentation mode changes from primary splitting and successive breaking to severe disintegration, corresponding to the three types of axial force-displacement curves, namely, the quasi-hardening, the slight quasi-softening, and the obvious quasi-softening. The simulation results show that the fractures initiate in the vicinity of contact point between the particle and loading walls, eventually penetrating through the particle along the vertical section of the sample. A higher loading rate may lead to a greater extent of particle breakage. The findings presented in this study may advance the understanding of the rate-dependent mechanical properties of calcareous sands.
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References
Abelev A, Valent P (2013) Strain-rate dependence of strength of the Gulf of Mexico soft sediments. IEEE J Ocean Eng 38(1):25–31
Aghajani HF, Salehzadeh H (2015) Anisotropic behavior of the Bushehr carbonate sand in the Persian Gulf. Arab J Geosci 8(10):8197–8217
Areias P, Rabczuk T (2016) A novel two-stage discrete crack method based on the screened Poisson equation and local mesh refinement. Comput Mech 58(6):1003–1018
Bolton MD, Nakata Y, Cheng YP (2008) Micro- and macro-mechanical behavior of DEM crushable materials. Géotechnique 58(6):471–480
Brandes HG (2011) Simple shear behavior of calcareous and quartz sands. Geotech Geol Eng 29(1):113–126
Carroll MM (1985) Mechanics of geological materials. Appl Mech Rev 38(10):1256
Chang CS, Hicher PY (2005) An elasto-plastic model for granular materials with microstructural consideration. Int J Solids Struct 42(14):4258–4277
Coop MR, Sorensen KK, Freitas TB et al (2004) Particle breakage during shearing of a carbonate sand. Geotechnique 54(3):157–163
Cundall P, Strack O (1979) A discrete numerical model for granular assemblies. Geotechnique 29(1):47–65
Da B, Yu HF, Ma HY, Mi YS, Dou XM (2016) Experimental investigation of whole stress-strain curves of coral concrete. Constr Build Mater 122:81–89
Díazrodríguez JA, Martínezvasquez JJ, Santamarina JC (2009) Strain-rate effects in Mexico City soil. J Geotech Geoenviron Eng 135(2):300–305
Ergenzinger C, Seifried R, Eberhard P (2012) A discrete element model predicting the strength of ballast stones. Comput Struct 108-109:3–13
Florez S, Eduardo IM (2017) Effect of fast constant loading rates on the global behavior of sand in triaxial compression. Geotech Test J 40(1):52–74
Fu R, Hu XL, Zhou B (2017) Discrete element modeling of crushable sands considering realistic particle shape effect. Comput Geotech 91:179–191
Ghafghazi M, Shuttle DA, Dejong JT (2014) Particle breakage and the critical state of sand. Soils Found 54(3):451–461
Giang PHH, Impe POV, Impe WFV, Menge P, Haegeman W (2017) Small-strain shear modulus of calcareous sand and its dependence on particle characteristics and gradation. Soil Dyn Earthq Eng 100:371–379
Gong DZ, Nadolski S, Sun CB, Klein B (2018) The effect of strain rate on particle breakage characteristics. Powder Technol 339:595–605
Cho Gye-chun, Dodds Jake, Santamarina J Carlos. Particle shape effects on packing density, stiffness, and strength: natural and crushed sands. J Geotech Geoenviron Eng 2006;132(5):591-602.
Hiramatsu Y, Oka Y (1966) Determination of the tensile strength of rock by a compression test of an irregular test piece. Int J Rock Mech Min Sci Geomech Abstr 3(2):89–90
Huang Q, Zhou W, Ma G et al (2020) Experimental and numerical investigation of Weibullian behavior of grain crushing strength [J]. Geosci Front 11(2):401–411
Kuang DM, Long ZL, Guo RQ et al (2020) Experimental and numerical investigation on size effect on crushing behaviors of single calcareous sand particles [J]. Mar Georesour Geotechnol. https://doi.org/10.1080/1064119X.2020.1725194
Kwok CY, Bolton MD (2013) DEM simulations of soil creep due to particle crushing. J Geotechnique 63(16):1365–1376
Lade PV, Liggio CD, Nam J (2009) Strain rate, creep, and stress drop-creep experiments on crushed coral sand. J Geotech Geoenviron 135(7):941–953
Lade PV, Nam J, Junior CDL (2010) Effects of particle crushing in stress drop-relaxation experiments on crushed coral sand. J Geotech Geoenviron Eng 136(3):500–509
Li Y T, Zhou L, Zhang Y, Cui J W. Study on long-term performance of concrete based on seawater, sea sand and coral sand. Adv Mater Res 2013;706-708(1):512-15.
Lim WL, McDowell GR (2007) The importance of coordination number in using agglomerates to simulate crushable particles in the discrete element method. J Geotechnique 57(8):701–705
Liu HL, Sun YF, Yang G, Chen YM (2012) A review of particle breakage characteristics of coarse aggregates. J Hohai Univ 40(4):361–369
Liu JM, Ou ZW, Wei P, Guo T, Deng W, Chen YZ (2017) Literature review of coral concrete. Arab J Sci Eng 43(4):1–13
Liu Y, Dai F, Xu NW, Zhao T, Feng P (2018) Experimental and numerical investigation on the tensile fatigue properties of rocks using the cyclic flattened Brazilian disc method. Soil Dyn Earthq Eng 105:68–82
Lv YR, Liu J, Xiong ZM (2019) One-dimensional dynamic compressive behavior of dry calcareous sand at high strain rates. J Rock Mech Geotech Eng 11(01):196–205
Ma G, Zhou W, Regueiro RA et al (2017) Modeling the fragmentation of rock grains using computed tomography and combined FDEM [J]. Powder Technol 308:388–397
Ma LJ, Li Z, Wang MY, Wei HZ, Fan PX (2018) Effects of size and loading rate on the mechanical properties of single coral particles. Powder Technol 342:961–971
Ma LJ, Li Z, Liu JG, Duan LQ, Wu JW (2019) Mechanical properties of coral concrete subjected to uniaxial dynamic compression. Constr Build Mater 199:244–255
McDowell GR, Amon A (2000) The application of Weibull statistics to the fracture of soil particles. Soils Found 40(5):133–141
Moës N, Belytschko T (2002) Extended finite element method for cohesive crack growth. Eng Fract Mech 69(7):813–833
Morsy Amr M (2019) Salem, Manal A, Elmamlouk, Hussein H. Evaluation of dynamic properties of calcareous sands in Egypt at small and medium shear strain ranges. Soils Dynamics and. Earthq Eng:692–709
Nakata Y, Hyodo M, Hyde AFL, Kato Y, Murata H (2001) Microscopic particle crushing of sand subjected to high pressure one-dimensional compression. Soils Found 41(1):69–82
Obermayr M, Dressler K, Vrettos C, Eberhard P (2013) A bonded-particle model for cemented sand. Comput Geotech 49:299–313
Omidvar M, Iskander M, Bless S (2012) Stress-strain behavior of sand at high strain rates. Int J Impact Eng 49(2):192–213
Pan R, Taubin G (2016) Automatic segmentation of point clouds from multi-view reconstruction using graph-cut. Vis Comput 32(5):601–609
Peerlings R, De Borst R, Brekelmans W, De Vree J, Spee I (1996) Some observations on localisation in non-local and gradient damage models. Eur J Mech 15(6):937–953
Potyondy DO (2004) A bonded-particle model for rock. Int J Rock Mech Min Sci 41(8):1329–1364
Qi CZ, Wang MY, Qian QH (2009) Strain-rate effects on the strength and fragmentation size of rocks. Int J Impact Eng 36(12):1355–1364
Qian JG, Gu JB et al (2017) Discrete numerical modeling of granular materials considering crushability [J]. J Mt Sci 04:151–163
Rabczuk T, Belytschko T (2004) Cracking particles: a simplified meshfree method for arbitrary evolving cracks [J]. Int J Numer Methods Eng 61(13):2316–2343
Rabczuk T, Ren HL (2017) A peridynamics formulation for quasi-static fracture and contact. Eng Geol 225:42–48
Rabczuk T, Zi G, Gerstenberger A, Wall W.A. A new crack tip element for the phantom-node method with arbitrary cohesive cracks. Int J Numer Methods Eng 2008;75(5):577–599.
Rabczuk T, Zi G, Bordas S, Nguyen-xuan H (2010) A simple and robust three-dimensional cracking-particle method without enrichment. Comput Methods Appl Mech Eng 199:2437–2455
Ren HL, Zhuang XY, Cai YC, Rabczuk T (2016) Dual-horizon peridynamics. Int J Numer Methods Eng 108:1451–1476
Ren H, Zhuang X, Rabczuk T (2017) Dual-horizon peridynamics: a stable solution to varying horizons. Comput Methods Appl Mech Eng 318:762–782
Rorato R, Arroyo M, Andò E (2019) A Gens. Sphericity measures of sand grains, Engineering Geology. https://doi.org/10.1016/j.enggeo.2019.04.006
Safinus S, Hossain M S, Randolph M F. Comparison of stress-strain behaviour of carbon- ate and silicate sediments. Proc. 18th Int. Conf. on Soil Mechanics and Geotechnical Engineering 2013;267–70.
Salehzadeh H, Procter D, Merrifield CM (2006) Medium dense non-cemented carbonate sand under reversed cyclic loading. Int J Civ Eng 4:54–63
Salem M, Elmamlouk H, Agaiby S (2013) Static and cyclic behavior of North Coast calcareous sand in Egypt. Soil Dyn Earthq Eng 55(12):83–91
Shahnazari H, Rezvani R (2013) Effective parameters for the particle breakage of calcareous sands: an experimental study. Eng Geol 159(9):98–105
Shahnazari H, Jafarian Y, Tutunchian MA (2016) Rezvani, R. Undrained cyclic and monotonic behavior of Hormuz calcareous sand using hollow cylinder simple shear tests. Int J Civil Eng 14(4):209–219
Shan PF, Lai XP (2019) Mesoscopic structure PFC∼2D model of soil rock mixture based on digital image. J Vis Commun Image Represent:407–415
Shen WG, Zhao T, Crosta GB, Dai F (2017) Analysis of impact-induced rock fragmentation using a discrete element approach. Int J Rock Mech Min Sci 98:33–38
Todisco MC, Wang W, Coop MR et al (2017) Multiple contact compression tests on sand particles [J]. Soils Found 57(1):126–140
Wang W, Coop MR (2016) An investigation of breakage behaviour of single sand particles using a high-speed microscope camera [J]. Géotechnique 66(12):984–998
Wang W, Coop MR (2018) Breakage behaviour of sand particles in point-load compression [J]. Géotechnique Lett 8(1):61–65
Wang XZ, Jiao YY, Wang R, Hu JM, Meng QS, Tan FY (2011) Engineering characteristics of the calcareous sand in Nansha Islands, South China Sea. Eng Geol 20(1-4):40–47
Wang Y, Ren Y, Yang Q. Experimental study on the hydraulic conductivity of calcareous sand in South China Sea. Mar Georesour Geotechnol, 2017a:1064119X.2017.1279245.
Wang XZ, Wang X, Chen JW, Wang R, Hu MJ, Meng QS (2017b) Experimental study on permeability characteristics of calcareous soil. Bull Eng Geol Environ 77(4):1753–1762
Wang B, Martin U, Rapp S (2017c) Discrete element modeling of the single-particle crushing test for ballast stones. Comput Geotech 88:61–73
Wu K, Pizette P, Becquart F, Rémond S, Abriak N, Xu WY et al (2017) Experimental and numerical study of cylindrical triaxial test on mono-sized glass beads under quasi-static loading condition. Adv Powder Technol 28(1):155–466
Xiao Y, Sun ZC, Desai CS, Meng MQ (2019) Strength and surviving probability in grain crushing under acidic erosion and compression. Int J Geomech 19(11):04019123
Xiao Y, Meng M, Daouadji A et al (2020) Effects of particle size on crushing and deformation behaviors of rockfill materials [J]. Geosci Front 11(2):375–388
Yang S, Zhu YH, Liu HL, Li A, Ge HY (2017) Macro-meso effects of gradation and particle morphology on the compressibility characteristics of calcareous sand. Bull Eng Geol Environ 9:1–9
Yu F (2017) Characteristics of particle breakage of sand in triaxial shear. Powder Technol 320:656–667
Yu SS, Lu YB, Cai Y (2013) The strain-rate effect of engineering materials and its unified model. Latin Am J Solids Struct 10(4):833–844
Zhang J, Zhang B (2018) Fractal pattern of particle crushing of granular geomaterials during one-dimensional compression. Adv Civil Eng:1–14
Zhang ZX, Kou SQ, Jiang LG, Lindqvist PA (2000) Effects of loading rate on rock fracture. Int J Rock Mech Min Sci 37(5):745–762
Zhao T (2017) Crosta, G B, Utili S, De Blasio F Y. Investigation of rock fragmentation during rockfalls and rock avalanches via 3-D discrete element analyses. J. J Geophys Res Earth Surf 122(3):678–695
Zhao YX, Liu SM, Zhao GF, Elsworth D, Jiang YD, Han JL (2014) Failure mechanisms in coal: dependence on strain rate and microstructure. J. Geophys. Res. Solid Earth 119:6924–6935
Zhou S W, Zhuang X, Rabczuk, T A Phase-field modeling approach of fracture propagation in poroelastic media Eng Geol 2018, 240: 189-203.
Zhou B, Wang JF, Wang HB (2014) A new probabilistic approach for predicting particle crushing in one-dimensional compression of granular soil. Soils Found 54(4):833–844
Zhou W, Yang LF, Ma G, Chang XL, Lai ZQ, Xu K (2016) DEM analysis of the size effects on the behavior of crushable granular materials. Granul Matter 18(3):1–11
Zhou HJ, Ma G, Yuan W et al (2017) Size effect on the crushing strengths of rock particles [J]. Rock Soil Mech 38(8):2425–2433
Zhou S W, Zhuang X Y, Zhu H H., Rabczuk T. Phase field modelling of crack propagation, branching and coalescence in rocks. 2018a, 2018, 96:174-192.
Zhou S W., Rabczuk T., Zhuang X Y. Phase field modeling of quasi-static and dynamic crack propagation: COMSOL implementation and case studies. Adv Eng Softw 2018b,122:31-49.
Zhou SW, Zhuang XY, Rabczuk T (2019a) Phase field modeling of brittle compressive-shear fractures in rock-like materials: a new driving force and a hybrid formulation. Comput Methods Appl Mech Eng 355:729–752
Zhou SW, Zhuang XY, Rabczuk T (2019b) Phase-field modeling of fluid-driven dynamic cracking in porous media. Comput Methods Appl Mech Eng 350:169–198
Zhu CQ, Wang XZ, Wang R, Chen HY, Meng QS (2014) Experimental microscopic study of inner pores of calcareous sand. Mater Res Innov 18(S2):207–214
Zingg T (1935) Beitrag zur schotteranalyse. Schweiz Mineral Petrogr Mitt 15:52–56
Acknowledgments
This research was supported by the National Natural Science Foundation of China (Grants No. 51971188 and 51071134) and the Degree & Postgraduate Education Reform Project of Hunan Province (Grants No. CX20190493).
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Kuang, Dm., Long, Zl., Guo, Rq. et al. Experimental and numerical study on the fragmentation mechanism of a single calcareous sand particle under normal compression. Bull Eng Geol Environ 80, 2875–2888 (2021). https://doi.org/10.1007/s10064-020-02099-w
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DOI: https://doi.org/10.1007/s10064-020-02099-w