Research on the constitutive model parameters of highland alluvial gravel soil
GUO Yanhui1,KONG Zhijun2
(1. Faculty of Public Safety and Emergency Management,Kunming University of Science and Technology,Kunming,Yunnan 650093,China;2. Collage of Civil Engineering,Huaqiao University,Xiamen,Fujian 361021,China)
Abstract:There is limited research on the constitutive model of highland lake-accumulated gravel soils. To more accurately reflect the stress-strain relationship of gravel soils,a large-scale triaxial consolidated-drained test was conducted to analyze the shear strength of the highland lake-accumulated gravel soils. The applicability of the Duncan-Chang constitutive model was also analyzed based on the triaxial test results,and improvements to the model were proposed to address its shortcomings. The results indicate that under different confining pressures,the highland lake-accumulated gravel soils exhibit significant strain hardening and contraction. The cohesion and internal friction angle are 9.4 kPa and 41°,respectively. The analysis of the Duncan-Chang model's applicability shows that for highland lake-accumulated gravel soils,neither the E-B model(where E is the modulus of deformation and B is the bulk modulus) nor the E-? model(where ? is the Poisson's ratio) can accurately reflect their stress-strain relationship. By establishing a functional expression based on the parabolic relationship between the square of the axial strain and the lateral strain,an improved Duncan-Chang model was developed. The fitting of the experimental results is good,accurately reflecting the stress-strain relationship of highland lake-accumulated gravel soils. The research findings can provide valuable references for practical engineering analysis.
郭延辉1,孔志军2. 高原冲湖积圆砾土本构模型参数研究[J]. 岩石力学与工程学报, 2025, 44(S1): 242-249.
GUO Yanhui1,KONG Zhijun2. Research on the constitutive model parameters of highland alluvial gravel soil. , 2025, 44(S1): 242-249.
[1] MEIDANI M,SHAFIEI A,HABIBAGAHI G,et al. Granule shape effect on the shear modulus and damping ratio of mixed gravel and clay[J]. Iranian Journal of Science and Technology Transaction B-Engineering,2008,32(B5):501–518.
[2] MA S K,HUANG H J,TIAN F P,et al. Investigation of dynamic characteristics and cumulative plastic strain prediction model of clay-fouled round gravel under cyclic subway loading[J]. Soil Dynamics and Earthquake Engineering,2023,174:108173.
[3] 杨光华. 地基沉降计算的新方法及其应用[M]. 北京:科学出版社,2013:9–14.(YANG Guanghua. A new method for calculating foundation settlement and its application[M]. Beijing:Science Press,2013:9–14.(in Chinese))
[4] WU C Y,CHERN S G. Numerical simulation of deep excavation in grave layers[J]. Journal of Marine Science and Technology,2016,24(3):458–465.
[5] LIYANAPATHIRANA D S,NISHANTHAN R. Influence of deep excavation induced ground movements on adjacent piles[J]. Tunnelling and Underground Space Technology,2016,52:168–181.
[6] ROSCOE K H,SCHOFIELD A,THURAIRAJAH A. Yielding of clays in states wetter than critical[j]. Géotechnique,1963,13(3):211–240.
[7] HUANG Z H YANG L. Option assessment of retaining structures and statistic analysis of stability coefficients for pit excavation in round gravels[J]. Journal of Engineering Geology,2013,21(3):438–442.
[8] YANG G H. Review of progress and prospect of modern constitutive theories for soils[J]. Chinese Journal of Geotechnical Engineering,2018,40(8):1 363–1 372.
[9] 杨光华,李广信. 从广义位势理论的角度看土的本构理论的研究[J]. 岩土工程学报,2007,29(4):594–597.(YANG Guanghua,LI Guangxin. Constitutive theory of soils based on the generalized potential theory[J]. Chinese Journal of Geotechnical Engineering,2007,29(4):594–597.(in Chinese))
[10] VERMEER P A. A double hardening model for sand[J]. Géotechnique,2015,28(4):413–433.
[11] 李广信. 土的清华弹塑性模型及其发展[J]. 岩土工程学报,2006,28(1):1–10.(LI Guangxin. Characteristics and development of Tsinghua Elasto-plastic model for soil[J]. Chinese Journal of Geotechnical Engineering,2006,28(1):1–10.(in Chinese))
[12] 向大润. 土体弹塑性理论加载准则和计算模型探讨[J]. 岩土工程学报,1983,5(4):78–91.(XIANG Darun. Loading criteria and calculation model of soil elastic-plastic theory[J]. Chinese Journal of Geotechnical Engineering,1983,5(4):78–91.(in Chinese))
[13] 黄文熙. 土的弹塑性应力–应变模型理论[J]. 清华大学学报:自然科学版,1979,(1):1–26.(HUANG Wenxi. Theory of elastoplastic stress-strain models for soils[J]. Journal of Tsinghua University:Science and Technology,1979,(1):1–26.(in Chinese))
[14] DUNCAN J M,CHANG C Y. Nonlinear analysis of stress and strain in soils[J]. Journal of the Soil Mechanics and Foundations Division,1970,96:1 629–1 653.
[15] DONG L,WU N Y,ZHANG Y J,et al. Improved Duncan-Chang model for reconstituted hydrate-bearing clayey silt from the South China Sea[J]. Advances in Geo-Energy Research,2023,8(2):136–140.
[16] 王 辉,周世琛,陈宇琪,等. 基于均匀化理论的水合物沉积物修正Duncan-Chang本构模型[J]. 中南大学学报:自然科学版,2021,52(9):3 251–3 263.(WANG Hui,ZHOU Shichen,CHEN Yuqi,et al. Modified Duncan-Chang model for hydrate-bearing sediments based on homogenization theory[J]. Journal of Central South University:Science and Technology,2021,52(9):3 251–3 263.(in Chinese))
[17] 刘军定,李荣建,孙 萍,等. 基于结构性黄土联合强度的邓肯–张非线性本构模型[J]. 岩土工程学报,2018,40(增1):124–128.(LIU Junding,LI Rongjian,SUN Ping,et al. Duncan-Chang nonlinear constitutive model based on joint strength theory of structural loess[J]. Chinese Journal of Geotechnical Engineering,2018,40(Supp.1):124–128.(in Chinese))
[18] 孙海忠. 基于细观理论的粗粒土剪胀性及本构模型[J]. 同济大学学报:自然科学版,2012,40(12):1 783–1 788.(SUN Haizhong. Dilation of coarse aggregates and its modeling based on micro theory[J]. Journal of Tongji University:Natural Science,2012,40 (12):1 783–1 788.(in Chinese))
[19] 孙海忠,黄茂松. 考虑粗粒土应变软化特性和剪胀性的本构模型[J]. 同济大学学报:自然科学版,2009,37(6):727–732.(SUN Haizhong,HUANG Maosong. A constitutive model for coarse granular material incorporating both strain work softening and dilatant[J]. Journal of Tongji University:Natural Science,2009,37(6):727–732.(in Chinese))
[20] 陈 晨. 沈阳圆砾土的扰动状态修正本构模型研究[J]. 河南理工大学学报:自然科学版,2017,36(6):125–131.(CHEN Chen. Research on modified constitutive model of Shenyang circular-gravel based on disturbed state[J]. Journal of Henan Polytechnic University:Natural Science,2017,36(6):125–131.(in Chinese))
[21] ZHANG C W,ZHOU X J,LU J F,et al. Modified constitutive model of sandy pebble soil based on disturbed state concept[J]. Arabian Journal of Geosciences,2022,15:587.
[22] KONG Z J,GUO Y H,MAO S L,et al. Experimental study on shear strength parameters of round gravel soils in plateau alluvial-lacustrine deposits and its application[J]. Sustainability,2023,15(5):3 954.
[23] 唐开顺,谢雄耀,杨 磊. 圆砾土大型三轴实验力学特性研究[J]. 地下空间与工程学报,2014,10(3):580–585.(TANG Kaishun,XIE Xiongyao,YANG Lei. Research on mechanical characteristics of gravel soil based on large-scale triaxial tests[J]. Chinese Journal of Underground Space and Engineering,2014,10(3):580–585.(in Chinese))
[24] 杨 松,程勇俊,吴珺华,等. 粗粒土粒径变化对强度和压缩特性的影响[J]. 云南农业大学学报:自然科学,2014,29(4):562–565.(YANG Song,CHENG Yongjun,WU Junhua,et al. Influence of coarse granular soil particle size on the strength and the compression characteristic[J]. Journal of Yunnan Agricultural University:Natural Science,2014,29(4):562–565.(in Chinese))
[25] KONDNER R L. Hyperbolic stress-strain response:congestive soils[J]. Journal of the Soil Mechanics and Foundation Division,1963,89(1):115–144.
[26] 赵煜鑫. 粗粒土工程特性及本构模型分析[硕士学位论文][D]. 西安:西北农林科技大学,2020.(ZHAO Yuxin. Analysis on engineering properties and constitutive model of coarse-grained soil[M. S. Thesis][D]. Xi?an:Northwest A & F University,2020.(in Chinese))
[27] DUNCAN J M,BYRNE P,WONG K,et al. Strength,stress-strain and bulk modulus parameters for finiteelement analysis of stress and movement in soilmasses[R]. Berkeley:University of California,1980.
[28] 李广信. 高等土力学[M]. 北京:清华大学出版社,2016:65–66.(LI Guangxin. Advanced soil mechanics[M]. Beijing:Tsinghua University Press,2016:65–66.(in Chinese))
[29] MENG F,ZHANG J S,CHEN X B,et al. Deformation characteristics of coarse-grained soil with various gradations[J]. Journal of Central South University,2014,21(6):2 469–2 476.