Anisotropic strength criterion of aeolian soil under stress path considering the variation of principal stress direction
LIU Jiashun1,2,3,ZHU Kaixin1,CAI Yanyan4,REN Yu1,SHENG Yantao1,LIU Yelong1
(1. College of Civil Engineering,Liaoning Technical University,Fuxin,Liaoning 123000,China;2. Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering,Hohai University,Nanjing,Jiangsu 210046,China;3. School of Mechanics and Civil Engineering,China University of Mining and Technology(Beijing),Beijing 100083,China;4. Fujian Research Center for Tunneling and Urban Underground Space Engineering,Huaqiao University,Xiamen,Fujian 361021,China)
Abstract:To investigate the anisotropy and stress directional mechanical behavior of geotechnical materials,directional shear tests of aeolian soil with principal stress direction angles of 0°,15°,22.5°,30°,45°,60°,67.5°,75°,and 90° were performed using a hollow cylinder torsion shear apparatus(GDS-SSHCA). The variation law of the shear stress-shear strain curve and anisotropic strength characteristics of aeolian soil under the action of different major principal stress directions are presented. Test results shown that when ?≤30°,the shear strength of soil increases with the increase of ?;when ?>30°,the shear strength of soil decreases with the increase of ?. Significant anisotropy exists in the strength of aeolian soil samples under directional shearing in different major principal stress directions. Based on the test results,the equivalent modified anisotropic Lade-Duncan criterion (EL-D criterion ) of aeolian soil is established by using the fabric-stress coordinate transformation based on the idea of equivalent stress and considering the stress,the size of the fabric,and the direct relationship between the stress and the fabric. The reliability of the established anisotropic criterion is verified by the directional shear test results of aeolian soil. The results show that EL-D criterion established in this paper can better describe the strength characteristics of stress-induced anisotropy in aeolian soil. The research results will provide scientific support for the study of anisotropy of geotechnical materials and the prevention and control of aeolian soil engineering disasters.
[1] 张 玉,张向东,陈铁林,等. 风积土地区工程病害分类和防治系统化研究[J]. 灾害学,2017,32(1):11–16.(ZHANG Yu,ZHANG Xiangdong,CHEN Tielin,et al. Engineering disease classification and control in aeolian soil area[J]. Journal of Catastrophology,2017,32(1):11–16.(in Chinese))
[2] 张向东,刘家顺. 循环荷载作用下风积土累积塑性变形试验研究[J]. 公路交通科技,2014,31(3):18–25.(ZHANG Xiangdong,LIU Jiashun. Experimental study on cumulative plastic deformation of aeolian soil under cyclic loading[J]. Journal of Highway and Transportation Research and Development,2014,31(3):18–25.(in Chinese))
[3] 刘家顺,王来贵,张向东,等. 部分排水时饱和粉质黏土变围压循环三轴试验研究[J]. 岩土力学,2019,40(4):1 413–1 419.(LIU Jiashun,WANG Laigui,ZHANG Xiangdong,et al. Cyclic triaxial test on saturated silty clay under partial drainage condition with variable confining pressure[J]. Rock and Soil Mechanics,2019,40(4):1 413– 1 419.(in Chinese))
[4] ISHIHARA K. Soil response in cyclic loading induced by earthquakes,traffic and waves[C]// Proceedings of the 7th Asian Reg. Conf. Soil Mech. Found. Eng.. Haifa,Israel:International Academic Publishers,1983:42–66.
[5] LIU J S, ZHU K X,SHEN Y,et al. Experimental investigation on the deformation and noncoaxial characteristics of fiber-reinforced aeolian soil under traffic load[J]. International Journal of Geomechanics,2022,22(5):04022054–1–12.
[6] 沈 扬,周 建,龚晓南. 空心圆柱仪(HCA)模拟恒定围压下主应力轴循环旋转应力路径能力分析[J]. 岩土工程学报,2006,28(3):281–287.(SHEN Yang,ZHOU Jian,GONG Xiaonan. Analysis on ability of HCA to imitate cyclic principal stress rotation under constant confining pressure[J]. Chinese Journal of Geotechnical Engineering,2006,28(3):281–287.(in Chinese))
[7] 沈 扬,陶明安,王 鑫,等. 交通荷载引发主应力轴旋转下软黏土变形与强度特性试验研究[J]. 岩土力学,2016,37(6):1 569–1 578. (SHEN Yang,TAO Ming?an,WANG Xin,et al. An experimental study of the deformation and strength characteristics of soft clay under principal stress axis rotation caused by traffic load[J]. Rock and Soil Mechanics,2016,37(6):1 569–1 578.(in Chinese))
[8] SHEN Y,DU W,XU J,et al. Non-coaxiality of soft clay generated by principal stress rotation under high-speed train loading[J]. Acta Geotechnica,2021,17:411–426.
[9] 蔡燕燕,俞 缙,余海岁,等. 考虑主应力轴旋转的砂土变形特性试验研究[J]. 岩石力学与工程学报,2013,32(2):417–424.(CAI Yanyan,YU Jin,YU Haisui,et al. Experimental study of deformation behaviour of sand under rotation of principal stress axes[J]. Chinese Journal of Rock Mechanics and Engineering,2013,32(2):417–424.(in Chinese))
[10] 蔡燕燕,俞 缙,余海岁,等. 加载路径对粗粒土非共轴性影响的试验研究[J]. 岩土工程学报,2012,34(6):1 117–1 122.(CAI Yanyan,YU Jin,YU Haisui,et al. Experimental study on effect of loading path on non-coaxiality of granular materials[J]. Chinese Journal of Geotechnical Engineering,2012,34(6):1 117–1 122.(in Chinese))
[11] 杨彦豪,周 建,温晓贵,等. 杭州软黏土非共轴特性的试验研究[J]. 岩土力学,2014,35(10):2 861–2 867.(YANG Yanhao,ZHOU Jian,WEN Xiaogui,et al. Experimental study of non-coaxiality of Hangzhou soft clay[J]. Rock and Soil Mechanics,2014,35(10):2 861–2 867.(in Chinese))
[12] 严佳佳,周 建,龚晓南,等. 主应力轴纯旋转条件下原状黏土变形特性研究[J]. 岩土工程学报,2014,36(3):474–481.(YAN Jiajia,ZHOU Jian,GONG Xiaonan,et al. Deformation behavior of intact clay under pure principal stress rotation[J]. Chinese Journal of Geotechnical Engineering,2014,36(3):474–481.(in Chinese))
[13] 刘家顺,王来贵,张向东,等. K0固结粉质黏土非共轴特性试验研究[J]. 岩石力学与工程学报,2017,36(增2):4 205–4 211.(LIU Jiashun,WANG Laigui,ZHANG Xiangdong,et al. Experimental study on non-coaxial characteristics of K0 consolidation saturated silty clay[J]. Chinese Journal of Rock Mechanics and Engineering,2017,36(Supp.2):4 205–4 211.(in Chinese))
[14] 姚仰平,孔玉侠. 横观各向同性土强度与破坏准则的研究[J]. 水利学报,2012,42(1):43–50.(YAO Yangping,KONG Yuxia. Study on strength and failure criterion of cross-anisotropic soil[J]. Journal of Hydraulic Engineering,2012,42(1):43–50.(in Chinese))
[15] ODA M,NAKAYAMA H. Yield function for soil with anisotropic fabric[J]. Journal of Engineering Mechanics,1989,115(1):89–104.
[16] 童朝霞. 应力主轴循环旋转条件下砂土的变形规律与本构模型研究[博士学位论文][D]. 北京:清华大学,2008.(TONG Zhaoxia. Research on deformation behavior and constitutive model of sands under cyclic rotation of principal stress axes[Ph. D Thesis][D]. Beijing:Tsinghua University,2008.(in Chinese))
[17] PIETRUSZCZAK S,MROZ Z. Formulation of anisotropic failure criteria incorporating a microstructure tensor[J]. Computers and Geotechnics,2000,26(2):105–112.
[18] PIETRUSZCZAK S,MROZ Z. On failure criteria for anisotropic cohesive-frictional materials[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2001,25(5):509–524.
[19] LADE P V. Modeling failure in cross-anisotropic frictional materials[J]. International Journal of Solids and Structures,2007,44(16):5 146–5 162.
[20] KONG Y X,ZHAO J D,YAO Y P. A failure criterion for cross- anisotropic soils considering microstructure[J]. Acta Geotechnica,2013,8(6):665–673.
[21] DAFALIAS Y,PAPADIMITRIOU A,LI X. Sand plasticity model accounting for inherent fabric anisotropy[J]. Journal of Engineering Mechanics,2004,130(11):1 319–1 333.
[22] GAO Z W,ZHAO J D. Efficient approach to characterize strength anisotropy in soils[J]. Journal of Engineering Mechanics,2012,138(12):1 447–1 456.
[23] 李学丰,黄茂松,钱建固. 宏细观结合的砂土各向异性破坏准则[J]. 岩石力学与工程学报,2010,29(9):1 885–1 892.(LI Xuefeng,HUANG Maosong,QIAN Jiangu. Failure criterion of anisotropic sand with method of macro-meso incorporation[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(9):1 885–1 892.(in Chinese))
[24] DONG T,KONG L. Equivalent stress tensor and anisotropic failure criterion of soils[C]// International Conference on Transportation Infrastructure and Materials. Lancaster Pennsylvania:DEStech Publication,Inc. USA.,2017:644–652.
[25] 董 彤,孔 亮,郑颖人,等. 颗粒材料的组构–应力关系与等效应力法[J]. 岩石力学与工程学报,2018,37(7):1 741–1 747. (DONG Tong,KONG Liang,ZHENG Yingren,et al. The fabric-stress relationship and the equivalent stress method of granular materials[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(7):1 741–1 747.(in Chinese))
[26] 中华人民共和国行业标准编写组. TB10102—2010. 铁路土工试验规程[S]. 北京:中国铁道出版社,2010.(The Professional Standards Compilation Group of People?s Republic of China. TB10102—2010. Code for soil test of railway engineering[S]. Beijing:China Railway Press,2010.(in Chinese))
[27] 李学丰,孔 亮,袁 琪,等. 宏细观结合各向异性砂土的变形特性模拟[J]. 同济大学学报:自然科学版,2016,44(2):173–179.(LI Xuefeng,KONG Liang,YUAN Qi,et al. Deformation analysis of anisotropic sand using the method of macro-meso incorporation[J]. Journal of Tongji University:Natural Science,2016,44(2):173–179.(in Chinese))
[28] ODA M,KOISHIKAWA I,HIGUCHI T. Experimental study of anisotropic shear strength of sand by plane strain test[J]. Journal of the Japanese Society of Soil Mechanics and Foundation Engineering,2008,18(1):25–38.
[29] ODA,MASANOBU. Initial fabrics and their relations to mechanical properties of granular material[J]. Soils and Foundations,1972,12(1):17–36.
[30] TOBITA Y,YANAGISAWA E. Contact tensor in constitutive model for granular materials[J]. Studies in Applied Mechanics,1988,20:263–270.
[31] 王 睢. 考虑主应力轴旋转的Q2黄土静动力变形行为及本构关系研究[博士学位论文][D]. 重庆:重庆大学,2018.(WANG Sui. Study on the static and cyclic behavior and constitutive model of Q2 loess under principal stress rotation[Ph. D Thesis][D]. Chongqing:Chongqing University,2018.(in Chinese))
[32] 扈 萍,魏 超,杨令强,等.定轴剪切实验中砂土的非共轴变形特性[J]. 济南大学学报:自然科学版,2017,31(6):478–484.(HU Ping,WEI Chao,YANG Lingqiang,et al. Non-coaxial behavior of sands in fixed principal stress axes shear tests[J]. Journal of University of Jinan:Science and Technology,2017,31(6):478–484.(in Chinese))
[33] 郭 林. 复杂应力路径下饱和软黏土静动力特性试验研究[博士学位论文][D]. 杭州:浙江大学,2013.(GUO Lin. Experimental study on the static and cyclic behavior of saturated clay under complex stress path[Ph. D. Thesis][D]. Hangzhou:Zhejiang University,2013.(in Chinese))
[34] 周 智. 考虑主应力方向变化的温州软黏土各向异性和非共轴特性试验研究[硕士学位论文][D]. 温州:温州大学,2019.(ZHOU Zhi. Experimental study on anisotropy and non-coaxial of Wenzhou soft clay under the variation of principal stress orientation[M. S. Thesis][D]. Wenzhou:Wenzhou University,2019.(in Chinese))
[35] 陈 敦,马 巍,穆彦虎,等.主应力方向和中主应力系数对冻结黏土性状的影响[J]. 哈尔滨工业大学学报,2018,50(6):97–102.(CHEN Dun,MA Wei,MU Yanhu,et al. Stress-strain properties of frozen clay with consideration of major principal stress direction and coefficient of intermediate principal stress[J]. Journal of Harbin Institute of Technology,2018,50(6):97–102.(in Chinese))
[36] 张 勋. 复杂应力路径下原状软粘土剪切破坏标准研究[硕士学位论文][D]. 杭州:浙江大学,2010.(ZHANG Xun. Study on failure criterion for intact soft under complex stress path[M. S. Thesis][D]. Hangzhou:Zhejiang University,2010.(in Chinese))
[37] DONG T,ZHENG Y,KONG L,et al. Shear strength and shear bands of anisotropic sand[J]. Acta Geotechnica,2022,17(7):2 841–2 853.