Abstract
Fundamental research on single-particle breaking and the uniaxial compressive strength (UCS) of carbonaceous mudstone aggregates at different water contents was carried out to investigate the relationship between the single-particle crushing strength and UCS. Based on elasticity theory and the superposition principle, a shape factor α was introduced to propose a mechanical model of crushing strength that considers the effect of particle shape, and a model was developed to predict the UCS of soil–rock aggregates (SRAs) from the single-particle crushing strength. The test conditions were set to a dry state and a water content of 6–10% according to the water content test results for carbonaceous mudstones with different dimensions. The experimental results reveal that the shape factor α of particles ranges from 0.44 to 1.0 when the crushing strength model is applied considering shape effects. As the water content increases, the crushing strength of the carbonaceous mudstone decreases linearly, the effect of the dimension is significant, and the crushing strength decreases by 7.4% in the dry state and by 41.02% at a water content of 10%. The UCS model considering the single-particle crushing strength accurately reflects the variation of the UCS with the volume block proportion (VBP) and provides a new approach for predicting the UCS.
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Some or all date, models that support the findings of this study are are available from the corresponding author upon reasonable request.
References
Afifipour M, Moarefvand P (2014) Mechanical behavior of bimrocks having high rock block proportion. Int J Rock Mech Min Sci 65:40–48. https://doi.org/10.1016/j.ijrmms.2013.11.008
ASTM (2001) Standard test method for splitting tensile strength of intact rock core specimens. American Society For Testing and Material D3967-95(a)
Dougall J (1906) VIII—an analytical theory of the equilibrium of an isotropic elastic plate. Earth Environ Sci Trans R Soc Edinb 41(1):129–228. https://doi.org/10.1017/S0080456800080091
Hiramatsu Y, Oka Y (1966) Determination of the tensile strength of rock by a compression test of an irregular test piece. In Int J Rock Mechan Mining Sci Geomechanics Abstracts 32:89–90. https://doi.org/10.1016/0148-9062(66)90002-7
Hu W, Min H, Chen J, Sheng Q (2015) Research on the effect of crushed stone on the unconfined mechanical properties of soil-rock mixtures. China Journal of Yangtze Academy of Sciences 32(11):55–61
Ishikawa T, Miura S (2011) Influence of freeze–thaw action on deformation-strength characteristics and particle crushability of volcanic coarse-grained soils. Soils Found 51(5):785–799. https://doi.org/10.3208/sandf.51.785
Jaeger JC (1967) Failure of rocks under tensile conditions. In Int J Rock Mechanics Mining Sci Geomechanics Abstracts 4(2):219–227. https://doi.org/10.1016/0148-9062(67)90046-0
Jin L, Zeng YW (2016) Numerical simulation of three-dimensional particle flow for uniaxial compression tests of soil-rock mixtures. China Proceedings Changjiang Acad Sci 33(7):93
Kalender AYCAN, Sonmez H, Medley E, Tunusluoglu C, Kasapoglu KE (2014) An approach to predicting the overall strengths of unwelded bimrocks and bimsoils. Eng Geol 183:65–79. https://doi.org/10.1016/j.enggeo.2014.10.007
Kuang D, Long Z, Guo R, Yu P (2021) Experimental and numerical investigation on size effect on crushing behaviors of single calcareous sand particles. Mar Georesour Geotechnol 39(5):543–553. https://doi.org/10.1080/1064119X.2020.1725194
Lim WL, McDowell GR, Collop AC (2004) The application of Weibull statistics to the strength of railway ballast. Granular Matter 6(4):229–237. https://doi.org/10.1016/0148-9062(66)90002-7
Lu C, Danzer R, Fischer FD (2002) Influence of threshold stress on the estimation of the Weibull statistics. J Am Ceram Soc 85(6):1640–1642. https://doi.org/10.1111/j.1151-2916.2002.tb00330.x
Ma L, Li Z, Wang M, Wei H, Fan P (2019) Effects of size and loading rate on the mechanical properties of single coral particles. Powder Technol 342:961–971. https://doi.org/10.1016/j.powtec.2018.10.037
Manso J, Marcelino J, Caldeira L (2018) Crushing and oedometer compression of rockfill using DEM. Comput Geotech 101:11–22. https://doi.org/10.1016/j.compgeo.2018.04.009
Manso J, Marcelino J, Caldeira L (2021) Single-particle crushing strength under different relative humidity conditions. Acta Geotechnical 16(3):749–761. https://doi.org/10.1007/s11440-020-01065-w
McDowell GR, Amon A (2000) The application of Weibull statistics to the fracture of soil particles. Soils Found 40(5):133–141. https://doi.org/10.3208/sandf.40.5_133
Medley EV, Lindquist ES (1995) The engineering significance of the scale-independence of some franciscan melanges in california,USA. ARMA US Rock Mechanics/Geomechanics Symposium: ARMA-95-0907
Mellmann J, Hoffmann T, Fürll C (2013) Flow properties of crushed grains as a function of the particle shape. Powder Technol 249:269–273. https://doi.org/10.1016/j.powtec.2013.06.035
Meng M, Sun Z, Wang C, He X, Xiao Y (2019) Size effect on mudstone strength during the freezing–thawing cycle. Environmental Geotechnics 40:1–16. https://doi.org/10.1680/jenge.18.00160
Meng M, Xiao Y, Duan X, Sun Z, Du L, Fan H, Liu H (2022) Crushing strength of artificial single-particle considering the effect of particle morphology. Acta Geotech 17(9):3909–3926. https://doi.org/10.1007/s11440-022-01516-6
Nakata AFL, Hyde M, Hyodo H, Murata (1999) A probabilistic approach to sand particle crushing in the triaxial test. Géotechnique 49(5):567–583. https://doi.org/10.1680/geot.1999.49.5.567
Nie Z, Fang C, Gong J, Yin ZY (2020) Exploring the effect of particle shape caused by erosion on the shear behavior of granular materials via the DEM. Int J Solids Struct 202:1–11. https://doi.org/10.1016/j.ijsolstr.2020.05.004
Oskooei PR, Mohammadinia A, Arulrajah A, Horpibulsuk S, Emam S (2021) Crushing behavior of recycled waste materials: experimental analysis and DEM simulation. Constr Build Mater 299:124226. https://doi.org/10.1016/j.conbuildmat.2021.124226
Qing Y, Qiu Z, Tang Y, Deng W, Zhang X, Miu J, Song S (2022) Effects of the particle shape and size on the single-particle breakage strength. Advances in Civil Engineering 3386025. https://doi.org/10.1155/2022/3386025
Sonmez H, Altinsoy H, Gokceoglu C, Medley EW (2006) Considerations in developing an empirical strength criterion for bimrocks. In: Proceedings of the fourth Asian rock mechanics symposium(ARMS), pp 8–10
Wang W, Coop MR (2016) An investigation of breakage behaviour of single sand particles using a high-speed microscope camera. Géotechnique 66(12):948–998. https://doi.org/10.1680/jgeot.15.P.247
Wang Y, Li X (2015) Experimental study on cracking damage characteristics of a soil and rock mixture by UPV testing. Bull Eng Geol Env 74:775–788. https://doi.org/10.1007/s10064-014-0673-x
Wang Y, Li X, Hu RL, Li SD, Wang JY (2015) Experimental study of the ultrasonic and mechanical properties of SRM under compressive loading. Environmental Earth Sci 74:5023–5037. https://doi.org/10.1007/s12665-015-4529-x
Wang Y, Li X, Zheng B (2017) Stress-strain behavior of soil-rock mixture at medium strain rates–response to seismic dynamic loading. Soil Dyn Earthq Eng 93:7–17. https://doi.org/10.1016/j.soildyn.2016.10.020
Wang S, Li Y, Gao X, Xue Q, Zhang P, Wu Z (2020) Influence of volumetric block proportion on mechanical properties of virtual soil-rock mixtures. Eng Geol 278:105850. https://doi.org/10.1016/j.enggeo.2020.105850
Wang Y, Ma G, Mei J, Zou Y, Zhang D, Zhou W, Cao X (2021) Machine learning reveals the influences of grain morphology on grain crushing strength. Acta Geotech 16(11):3617–3630. https://doi.org/10.1007/s11440-021-01270-1
Wang T, Ma L, Wang M, Li Z, Zhang X, Geng H (2022) Effects of particle shape on dynamic mechanical behaviours of coral sand under one-dimensional compression. Eng Geol 304:106624. https://doi.org/10.1016/j.enggeo.2022.106624
Weibull W (1951) A statistical distribution function of wide applicability. J Appl Mech 18: 293–297. https://hal.archives-ouvertes.fr/hal-03112318
Wijk G (1978) Some new theoretical aspects of indirect measurements of the tensile strength of rocks. In Int J Rock Mechan Mining Sci Geomechanics Abstracts 15(4):149–160. https://doi.org/10.1016/0148-9062(78)91221-4
Wu M, Wang J, Wu F (2022a) DEM investigations of failure mode of sands under iodometric loading. Adv Powder Technol 33(6):103599. https://doi.org/10.1016/j.apt.2022.103599
Wu Y, Li X, Zhang L, Zhou J, Mao T, Li M (2022b) Analysis on spatial variability of SRM based on real-time CT and the DIC method under uniaxial loading. Front Phys 10:789068. https://doi.org/10.3389/fphy.2022.789068
Xiao Y, Meng M, Daouadji A, Chen Q, Wu Z, Jiang X (2020) Effects of particle size on crushing and deformation behaviors of rockfill materials. Geosci Front 11(2):375–388. https://doi.org/10.1016/j.gsf.2018.10.010
Xu WJ, Zhang HY (2021) Research on the effect of rock content and sample size on the strength behavior of soil-rock mixture. Bull Eng Geol Env 80:2715–2726. https://doi.org/10.1007/s10064-020-02050-z
Xu WJ, Hu RL, Tan RJ (2007) Some geomechanical properties of soil-rock mixtures in the Hutiao Gorge area. China Geotechnique 57(3):255–264 ((in Chinese))
Wu XH, Cai YQ, Xu SF, Zhuang YC, Wang QX, Wang Z (2021) Effects of size and shape on the crushing strength of coral sand particles under diametral compression test. Bull Eng Geol Env 80(2):1829–1839. https://doi.org/10.1007/s10064-020-01972-y
Zhang Y (2019) Experimental study on the effect of temperature and gravel dosing on the uniaxial compression properties of frozen gravel-doped clay. J Rock Mechanics Eng 38(11):2357–2364 ((In Chinese))
Zhang Z, Sheng Q, Fu X, Zhou Y, Huang J, Du Y (2020) An approach to predicting the shear strength of soil-rock mixture based on rock block proportion. Bull Eng Geol Env 79:2423–2437. https://doi.org/10.1016/j.enggeo.2014.10.007
Zhao B, Wang J, Coop MR, Viggiani G, Jiang M (2015) An investigation of single sand particle fracture using X-ray microtomography. Géotechnique 65(8):625–641. https://doi.org/10.1680/geot.4.P.157
Zhao S, Zheng J, Yang J (2022) Stability analysis of embankment slope considering water absorption and softening of subgrade expansive soil. Water 14(21):3528. https://doi.org/10.3390/w14213528
Zhu F, Zhao J (2021) Interplays between particle shape and particle breakage in confined continuous crushing of granular media. Powder Technol 378:455–467. https://doi.org/10.1016/j.powtec.2020.10.020
Zhu G, Ding Y, Cao Y (2023) The effect of block-matrix interface of SRM with high volumetric block proportion on its uniaxial compressive strength. Appl Sci 13(6):3463. https://doi.org/10.3390/app13063463
Zingg T (1935) Beitrag zur schotte analysis. Min Petrog Mitt Schweiz 15:39–140
Funding
This paper was funded by the National Natural Science Foundation of China (Grant Nos. 51838001, 51878070, 52078067, 52078066), funded by the Youth Scientific and Technological Innovation Talents of Hunan Province (2020RC306), funded by the Natural Science Foundation of Hunan Province Outstanding Youth Fund Project (2023JJ10045), funded by the Research and Development Projects in Key Fields of Hunan Province (2019SK2171), funded by the Outstanding Innovative Youth Training Program of Changsha City (kq2206030), funded by the “Double First-class” International Cooperation and Expansion Program for Scientific Research of Changsha University of Science & Technology (2019IC04), funded by the Open Fund of Key Laboratory of Bridge Engineering Safety Control by Department of Education (15KB01), funded by the National Natural Science Youth Foundation of China (No.42207204), and funded by the Hunan Provincial Natural Science Youth Fund (2023JJ40023).
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Zeng, L., Yu, JL. & Wen, W. Study of the uniaxial compressive strength of water-sensitive carbonaceous mudstones based on the single-particle crushing strength. Bull Eng Geol Environ 83, 89 (2024). https://doi.org/10.1007/s10064-024-03574-4
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DOI: https://doi.org/10.1007/s10064-024-03574-4