Abstract:The coupling mechanism between wetting-induced breakage and scale effects in rockfill materials remains insufficiently understood, and predictive methods for wetting deformation considering scale effects are still lacking. In this study, based on the breakage-packing concept, the volumetric deformation induced by wetting-related particle breakage is decomposed into two independent subproblems: the particle breakage evolution and the relationship between breakage and void ratio, providing a framework for unified consideration of wetting breakage and scale effects. Uniaxial compression wetting tests were conducted on rockfill specimens with different representative particle sizes under both single-line and double-line wetting paths. The results demonstrate that the breakage-packing concept is applicable to coupling analysis of wetting deformation and scale effects; after parameter normalization, the breakage index-plastic work relationships under varying particle sizes, moisture states, and wetting paths converge to a single curve, while the breakage index-packing void ratio relationships show invariance with respect to these factors. Finally, incorporating the Weibull scaling law for single-particle breakage, a mathematical volume-stress relationship model was developed to account for the coupled effects of wetting and scale. This model requires only one set of physically meaningful parameters, can be extended to prototype-scale materials, and provides a theoretical basis for predicting deformation of ultra-high rockfill dams during initial reservoir impoundment.
[1] LADE P V,YAMAMURO J A,BOPP P A. Significance of particle crushing in granular materials[J]. Journal of Geotechnical Engineering,1996,122(4):309–316.
[2] WOOD D M. Soil behaviour and critical state soil mechanics[M]. Cambridge,UK:Cambridge University Press,1990:462–488.
[3] PESTANA J M,WHITTLE A J. Compression model for cohesionless soils[J]. Géotechnique,1995,45(4):611–632.
[4] YU F W. Particle breakage and the critical state of sands[J]. Géotechnique,2017,67(8):713–719.
[5] 李海潮,李 涛,童晨曦,等. 适用于黏土和砂土的亚塑性剑桥模型[J]. 岩石力学与工程学报,2024,43(12):3 096–3 107.(LI Haichao,LI Tao,TONG Chenxi,et al. Hypoplastic cam-clay model for clay and sand soils[J]. Chinese Journal of Rock Mechanics and Engineering,2024,43(12): 3 096–3 107.(in Chinese))
[6] XIAO Y,LIU H,DING X,et al. Influence of particle breakage on critical state line of rockfill material[J]. International Journal of Geomechanics,2016,16(1):04015031.
[7] SHENG D,YAO Y,CARTER J P. A volume-stress model for sands under isotropic and critical stress states[J]. Canadian Geotechnical Journal,2008,45(11):1 639–1 645.
[8] CHONG S H,SANTAMARINA J C. Soil compressibility models for a wide stress range[J]. Journal of Geotechnical and Geoenvironmental Engineering,2016,142(6):06016003.
[9] 路德春,卓宇航,周 鑫,等. 考虑颗粒破碎的粗粒土非正交弹塑性本构模型[J]. 岩石力学与工程学报,2025,44(7):1 911– 1 920.(LU Dechun,ZHUO Yuhang,ZHOU Xin,et al. A non-orthogonal elasto-plastic constitutive model for coarse-grained soils considering particle breakage[J]. Chinese Journal of Rock Mechanics and Engineering,2025,44(7):1 911–1 920.(in Chinese))
[10] 王钰轲,蒋 睿,郭成超,等. 考虑相变状态及温度效应的冻结砂土非关联弹塑性本构模型[J]. 岩石力学与工程学报,2025,44(4):1 026–1 039.(WANG Yuke,JIANG Rui,GUO Chengchao,et al. Non-associated elasto-plastic constitutive model of frozen sand considering the influence of phase transition state and temperature[J]. Chinese Journal of Rock Mechanics and Engineering,2025,44(4):1 026–1 039.(in Chinese))
[11] 姚仰平,王宁博. 复杂应力路径下土的统一硬化方程[J]. 岩石力学与工程学报,2023,42(8):2 041–2 047.(YAO Yangping,WANG Ningbo. Unified hardening equation for soils in complex stress paths[J]. Chinese Journal of Rock Mechanics and Engineering,2023,42(8): 2 041–2 047.(in Chinese))
[12] 魏 松,朱俊高. 粗粒料三轴湿化颗粒破碎试验研究[J]. 岩石力学与工程学报,2006,25(6):1 252–1 258.(WEI Song,ZHU Jungao. Study on wetting breakage of coarse-grained materials in triaxial test[J]. Chinese Journal of Rock Mechanics and Engineering,2006,25(6): 1 252–1 258.(in Chinese))
[13] 王晋伟,迟世春,邵晓泉. 堆石颗粒浸水破碎引起堆石料湿化变形研究[J]. 东北大学学报:自然科学版,2023,44(11):1 638– 1 646.(WANG Jinwei,CHI Shichun,SHAO Xiaoquan. Study on wetting deformation of rockfill materials caused by particle water-immersed crushing[J]. Journal of Northeastern University:Natural Science,2023,44(11):1 638–1 646.(in Chinese))
[14] 孔宪京,刘京茂,邹德高,等. 紫坪铺面板坝堆石料颗粒破碎试验研究[J]. 岩土力学,2014,35(1):35–40.(KONG Xianjing,LIU Jingmao,ZOU Degao,et al. Experimental study of particle breakage of Zipingpu rockfill material[J]. Rock and Soil Mechanics,2014,35(1): 35–40.(in Chinese))
[15] 朱 晟,王永明,翁厚洋. 粗粒筑坝材料密实度的缩尺效应研究[J]. 岩石力学与工程学报,2011,30(2):348–357.(ZHU Sheng,WANG Yongming,WENG Houyang. Study of scale effect of density of coarse-grained dam materials[J]. Chinese Journal of Rock Mechanics and Engineering,2011,30(2):348–357.(in Chinese))
[16] 马 刚,周 伟,常晓林,等. 堆石料缩尺效应的细观机制研究[J]. 岩石力学与工程学报,2012,31(12):2 473–2 482.(MA Gang,ZHOU Wei,CHANG Xiaolin,et al. Mesoscopic mechanism study of scale effects of rockfill[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(12):2 473–2 482.(in Chinese))
[17] 花俊杰,周 伟,常晓林,等. 堆石体应力变形的尺寸效应研究[J]. 岩石力学与工程学报,2010,29(2):328–335.(HUA Junjie,ZHOU Wei,CHANG Xiaolin,et al. Study of scale effect on stress and deformation of rockfill[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(2):328–335.(in Chinese))
[18] LEE K L,FARHOOMAND I. Compressibility and crushing of granular soil in anisotropic triaxial compression[J]. Canadian Geotechnical Journal,1967,4(1):68–86.
[19] HARDIN B O. Crushing of soil particles[J]. Journal of Geotechnical Engineering,1985,111(10):1 177–1 192.
[20] EINAV I. Breakage mechanics—Part I: Theory[J]. Journal of the Mechanics and Physics of Solids,2007,55(6):1 274–1 297.
[21] 殷宗泽,费余绮,张金富. 小浪底土坝坝料土的湿化变形试验研究[J]. 河海科技进展,1993,13(4):73–76.(YIN Zongze,FEI Yuqi,ZHANG Jinfu. Triaxial test research on wetting deformation for materials of Xiaolangdi arch and rockfill dam[J]. Advances in Science and Technology of Water Resources,1993,13(4):73–76.(in Chinese))
[22] 张少宏,张爱军,陈 涛. 堆石料三轴湿化变形特性试验研究[J]. 岩石力学与工程学报,2005,24(增2):5 938–5 942.(ZHANG Shaohong,ZHANG Aijun,CHEN Tao. Triaxial slaking test research on rockfill deformation feature[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(Supp.2):5 938–5 942.(in Chinese))
[23] 李 鹏,李 振,刘金禹. 粗粒料的大型高压三轴湿化试验研究[J]. 岩石力学与工程学报,2004,23(2):231–234.(LI Peng,LI Zhen,LIU Jinyu. Slaking test study of coarse aggregate under high triaxial stress condition[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(2):231–234.(in Chinese))
[24] 沈珠江,王剑平. 土质心墙坝填筑及蓄水变形的数值模拟[J]. 水利水运科学研究,1988,(4):48–63.(SHEN Zhujiang,WANG Jianping. Numerical simulation of construction behavior of clay core dam and its movement due to reservoir impounding[J]. Journal of Nanjing Hydraulic Research Institute,1988,(4):48–63.(in Chinese))
[25] NOBARI E S,DUNCAN J M. Effect of reservoir filling on stresses and movements in earth and rockfill dams[R]. California,USA:University of California,Department of Civil Engineering,1972.
[26] 程展林,左永振,丁红顺,等. 堆石料湿化特性试验研究[J]. 岩土工程学报,2010,32(2):243–247.(CHENG Zhanlin,ZUO Yongzhen,DING Hongshun,et al. Wetting characteristics of coarse-grained materials[J]. Chinese Journal of Geotechnical Engineering,2010,32(2):243–247.(in Chinese))
[27] 魏 松. 粗粒料浸水湿化变形特性试验及其数值模型研究[博士学位论文][D]. 江苏:河海大学,2006.(WEI Song. Study on wetting deformation behaviour and numerical model of coarse-grained materials[Ph. D. Thesis][D]. Jiangsu:Hohai University,2006.(in Chinese))
[28] ORDEMIR l,OEZKAN Y. Compression of alluvial deposits due to wetting[C]// Proceedings of the Eleventh International Conference on Soil Mechanics and Foundation Engineering. San Francisco:[s. n.],1985:2 217–2 221.
[29] OLDECOP L A,ALONSO E E. Suction effects on rockfill compressibility[J]. Géotechnique,2003,53(2):289–292.
[30] OLDECOP L A,ALONSO E E. Testing rockfill under relative humidity control[J]. Geotechnical Testing Journal,2004,27(3):269–278.
[31] ALONSO E E,CARDOSO R. Behavior of materials for earth and rockfill dams:Perspective from unsaturated soil mechanics[J]. Frontiers of Architecture and Civil Engineering in China,2010,4(1):1–39.
[32] 方绪顺. 砂砾石料浸水变形特性研究及砂砾石坝蓄水变形的数值模拟[博士学位论文][D]. 南京:河海大学,2005.(FANG Xushun. Test study and numerical simulation on wetting deformation of gravel sand[Ph. D. Thesis][D]. Nanjing:Hohai University,2005.(in Chinese))
[33] 魏 松,朱俊高,钱七虎,等. 粗粒料颗粒破碎三轴试验研究[J]. 岩土工程学报,2009,31(4):533–538.(WEI Song,ZHU Jungao,QIAN Qihu,et al. Particle breakage of coarse-grained materials in triaxial tests[J]. Chinese Journal of Geotechnical Engineering,2009,31(4):533–538.(in Chinese))
[34] 朱俊高,ALSAKRAN M A,龚 选,等. 某板岩粗粒料湿化特性三轴试验研究[J]. 岩土工程学报,2013,35(1):170–174.(ZHU Jungao,ALSAKRAN M A,GONG Xuan,et al. Triaxial test on wetting deformation behavior of a slate rockfill material[J]. Chinese Journal of Geotechnical Engineering,2013,35(1):170–174.(in Chinese))
[35] 孔宪京,宁凡伟,刘京茂,等. 应力路径和干湿状态对堆石料颗粒破碎的影响研究[J]. 岩土力学,2019,40(6):2 059–2 065.(KONG Xianjing,NING Fanwei,LIU Jingmao,et al. Influences of stress paths and saturation on particle breakage of rockfill materials[J]. Rock and Soil Mechanics,2019,40(6):2 059–2 065.(in Chinese))
[36] 殷 殷,吴永康,丁艳辉,等. 堆石料非饱和湿化变形特性研究[J]. 岩石力学与工程学报,2021,40(增2):3 455–3 463.(YIN Yin,WU Yongkang,DING Yanhui,et al. Experimental study on the unsaturated wetting deformation behaviors of rockfill materials[J]. Chinese Journal of Rock Mechanics and Engineering,2021,40(Supp.2):3 455– 3 463.(in Chinese))
[37] NAKATA A F L,HYDE M,HYODO H,et al. A probabilistic approach to sand particle crushing in the triaxial test[J]. Géotechnique,1999,49(5):567–583.
[38] 邓远航,迟世春,闫世豪. 堆石颗粒强度尺寸效应和应变率效应研究[J]. 岩石力学与工程学报,2025,44(7):1 950–1 958.(DENG Yuanhang,CHI Shichun,YAN Shihao. A study of the size and strain rate effect on the particle strength of rockfill materials[J]. Chinese Journal of Rock Mechanics and Engineering,2025,44(7):1 950– 1 958.(in Chinese))
[39] ZHOU W,YANG L,MA G,et al. DEM analysis of the size effects on the behavior of crushable granular materials[J]. Granular Matter,2016,18(3):1–11.
[40] ZHANG Y D,BUSCARNERA G,EINAV I. Grain size dependence of yielding in granular soils interpreted using fracture mechanics,breakage mechanics and Weibull statistics[J]. Géotechnique,2016,66(2):149–160.
[41] 李广信. 堆石料的湿化试验和数学模型[J]. 岩土工程学报,1990,12(5):58–64.(LI Guangxin. Study on wetting of rockfill[J]. Chinese Journal of Geotechnical Engineering,1990,12(5):58–64.(in Chinese))
[42] 左元明,沈珠江. 坝壳砂砾料浸水变形特性的测定[J]. 水利水运科学研究,1989,(1):107–113.(ZUO Yuanming,SHEN Zhujiang. Deformation character of gravel sand due to wetting[J]. Journal of Nanjing Hydraulic Research Institute,1989,(1):107–113.(in Chinese))
[43] 廖祥兵. 考虑缩尺效应的粗粒料湿化变形特性颗粒流数值模拟研究[博士学位论文][D]. 安徽:合肥工业大学,2016.(LIAO Xiangbing. Numerical simulation study on wetting deformation characteristics of coarse-grained materials considering scaling effect by PFC[Ph. D. Thesis][D]. Anhui:Hefei University of Technology,2016.(in Chinese))
[44] YIN Z Y,HICHER P Y,DANO C,et al. Modeling mechanical behavior of very coarse granular materials[J]. Journal of Engineering Mechanics,2017,143(1):C4016006.
[45] FROSSARD E,HU W,DANO C,et al. Rockfill shear strength evaluation: A rational method based on size effects[J]. Géotechnique,2012,62(5):415–427.
[46] SHEN C,LIU S,XU S,et al. Rapid estimation of maximum and minimum void ratios of granular soils[J]. Acta Geotechnica,2019,14(4):991–1 001.
[47] SHEN C,LIU S,WANG L. Elasto-plastic constitutive modelling of compacted rock?ll materials:a physically based approach[J]. Géotechnique,2021,73(6):531–543.
[48] SHEN C,LIU S,YU J,et al. Simple scale effect model for the volumetric behavior of rockfill materials[J]. International Journal of Geomechanics,2020,21(3):04020266.
[49] WOOD D M,MAEDA K. Changing grading of soil:effect on critical states[J]. Acta Geotechnica,2008,1(3):3–14.
[50] DAOUADJI A,HICHER P Y,RAHMA A. Modelling grain breakage influence on mechanical behaviour of granular media[J]. Computer Methods in Applied Mechanics and Engineering,2001,20(1):113–137.
[51] INDRARATNA B,WIJEWARDENA L S S,BALASUBRAMAN-IAM A S. Large-scale triaxial testing of grey wacke rockfill[J]. Geotechnique,1993,43(1):37–51.
[52] XIAO Y,LIU H,CHEN Q,et al. Particle breakage and deformation of carbonate sands with wide range of densities during compression loading process[J]. Acta Geotechnica,2017,12(5):1 177–1 184.
[53] NAKATA Y,KATO Y,HYODO M,et al. One-dimensional compression behaviour of uniformly graded sand related to single particle crushing strength[J]. Soils and Foundations,2001,41(2):39–151.