π平面上冻结黏土破坏函数适用性试验研究
|
摘要
为了研究冻土在π平面上的强度特征,利用冻土空心圆柱仪对冻结黏土开展了-6.0℃条件下4个平均主应力p(1.0,3.0,4.5和10.0MPa)和5个应力Lode角θσ(-30.0°,-16.1°,0°,16.1°和30.0°)的定向剪切试验.结果表明:定向剪切路径下冻结黏土的应力-应变曲线均呈现应变硬化特征;随着中主应力系数b值的增加,轴向强度逐渐降低;随着平均主应力p值的增大,中主应力系数b值对广义剪应力-剪应变曲线的影响逐渐减弱;在平均主应力p值较小时,中主应力系数b值的变化对破坏应力比的影响较大,而在平均主应力p值较大时,这一影响则较小;在相同中主应力系数b值下,破坏应力比随着平均主应力的增大而减小.随着平均主应力的增加,π平面上冻结黏土的破坏曲线形状从光滑外凸三角形渐变为圆形,非线性广义强度理论能较好描述这种演化规律.
To study the strength properties of frozen soil in theπ-plane,a series of directional shear tests were carried out on frozen clay under five stress Lode angles(θσ=-30.0°,-16.1°,0°,16.1°,and 30.0°)and four mean principal stresses(p=1.0,3.0,4.5,and 10.0MPa)at-6.0℃.The results show that the stress-strain behavior of frozen clay performs as strain hardening under directional shearing.With the coefficients of intermediate principal stress(b-value)increases,the axial strength decreases gradually.With the increase of the mean principal stress(p-value),the influence of the b-value on the curve of generalized shear stress-strain weakens.The influence of the b-value on the ratio of failure stress is greater when p-value is small and vice versa.The ratio of failure stress decreases with the p-value increase under the same b-value.In theπ-plane,the failure curve of frozen clay changes from a curve-sided triangle to a circle.Simulation of the test results in this study shows that the generalizednonlinear strength theory(GNST)can describe this evaluation rule better than others.
To study the strength properties of frozen soil in theπ-plane,a series of directional shear tests were carried out on frozen clay under five stress Lode angles(θσ=-30.0°,-16.1°,0°,16.1°,and 30.0°)and four mean principal stresses(p=1.0,3.0,4.5,and 10.0MPa)at-6.0℃.The results show that the stress-strain behavior of frozen clay performs as strain hardening under directional shearing.With the coefficients of intermediate principal stress(b-value)increases,the axial strength decreases gradually.With the increase of the mean principal stress(p-value),the influence of the b-value on the curve of generalized shear stress-strain weakens.The influence of the b-value on the ratio of failure stress is greater when p-value is small and vice versa.The ratio of failure stress decreases with the p-value increase under the same b-value.In theπ-plane,the failure curve of frozen clay changes from a curve-sided triangle to a circle.Simulation of the test results in this study shows that the generalizednonlinear strength theory(GNST)can describe this evaluation rule better than others.
引文
[1]马巍,王大雁.冻土力学[M].北京:科学出版社,2014:97-157.MA Wei,WANG Dayan.Mechanics of frozen soil[M].Beijing:Science Press,2014:97-157.
[2]LAI Y M,JIN L,CHANG X X.Yield criterion and elasto-plastic damage constitutive model for frozen sandy soil[J].International Journal of Plasticity,2009,25(6):1177-1205.
[3]周国庆,况联飞,马金荣,等.深土力学特性研究现状及发展展望[J].中国矿业大学学报,2016,45(2):195-204.ZHOU Guoqing,KUANG Lianfei,MA Jinrong,et al.Status quo and prospects of the deep soil mechanical properties[J].Journal of China University of Mining&Technology,2016,45(2):195-204.
[4]崔托维奇H A.冻土力学[M].张长庆,朱元林,译.北京:科学出版社.1985:1-9.TSYTOVICH H A.The mechanics of frozen ground[M].Translated by ZHANG C Q,ZHU Y L.Beijing:Science Press,1985:1-9.
[5]张慧梅,彭川,杨更社,等.考虑冻融效应的岩石损伤统计强度准则研究[J].中国矿业大学学报,2017,46(5):1066-1072.ZHANG Huimei,PENG Chuan,YANG Gengshe,et al.Study of damage statistical strength criterion of rock considering the effect of freezing and thawing[J].Journal of China University of Mining&Technology,2017,46(5):1066-1072.
[6]阴琪翔,周国庆,赵晓东,等.双向冻结单向融化土冻融循环下的融沉及压缩特性[J].中国矿业大学学报,2015,44(3):437-443.YIN Qixiang,ZHOU Guoqing,ZHAO Xiaodong,et al.Thaw settlement and compression properties of silty clay under freezing-one direction thawing[J].Journal of China University of Mining&Technology,2015,44(3):437-443.
[7]TINH J M,MARTIN R T,LADD C C.Mechanisms of strength for frozen sand[J].Journal of Geotechnical Engineering,1983,109(10):1286-1302.
[8]赵晓东,周国庆,李生生.不同温度梯度冻结中砂加卸荷变形特性研究[J].中国矿业大学学报,2010,39(2):158-162.ZHAO Xiaodong,ZHOU Guoqing,LI Shengsheng.Deformation properties of frozen sand during loading and unloading in the presence of a thermal gradient[J].Journal of China University of Mining&Technology,2010,39(2):158-162.
[9]YANG Y G,LAI Y M,LI J B.Laboratory investigation on the strength characteristic of frozen sand considering effect of confining pressure[J].Cold Regions Science and Technology,2010,60(3):245-250.
[10]LAI Y M,YANG Y G,CHANG X X,et al.Strength criterion and elastoplastic constitutive model of frozen silt in generalized plastic mechanics[J].International Journal of Plasticity,2010,26(10):1461-1484.
[11]罗汀,罗小映.适用于冻土的广义非线性强度准则[J].冰川冻土,2011,33(4):772-777.LUO Ting,LUO Xiaoying.Applications of generalized Non-Linear strength theory to frozen soil[J].Journal of Glaciology and Geocryology,2011,33(4):772-777.
[12]LAI Y M,LIAO M K,HU K.A constitutive model of frozen saline sandy soil based on energy dissipation theory[J].International Journal of Plasticity,2016,78(3):84-113.
[13]ZHANG D,LIU E,LIU X,et al.A new strength criterion for frozen soils considering the influence of temperature and coarse-grained contents[J].Cold Regions Science and Technology,2017,143(8):1-12.
[14]郭妍,王大雁,马巍,等.冻土空心圆柱仪的研发与应用[J].哈尔滨工业大学学报,2016,48(12):114-120.GUO Yan,WANG Dayan,MA Wei,et al.Development and application of frozen hollow cylinder apparatus[J].Journal of Harbin Institute of Technology,2016,48(12):114-120.
[15]JIANG Mingjing,SHEN Zhifu,LI Liqing,et al.Anovel specimen preparation method for TJ-1lunar soil simulant in hollow cylinder apparatus[J].Journal of Rock Mechanics and Geotechnical Engineering,2012,4(4):312-325.
[16]李广信.高等土力学[M].北京:清华大学出版社,2005:114-179.LI Guangxin.Advanced soil mechanics[M].Beijing:Tsinghua University Press,2005:114-179.
[17]LEE D H,JUANG C H,CHEN J W,et al.Stress paths and mechanical behavior of a sandstone in hollow cylinder tests[J].International Journal of Rock Mechanics&Mining Sciences,1999,36(7):857-870.
[18]HIGHT D W,GENS A,SYMES M J.The development of a new hollow cylinder apparatus for investigating the effects of principal stress rotation in soils[J].Géotechnique,1983,33(4):355-383.
[19]施维成,朱俊高,代国忠,等.粗粒土在π平面上的真三轴试验及强度准则[J].河海大学学报(自然科学版),2015,43(1):11-15.SHI Weicheng,ZHU Jungao,DAI Guozhong,et al.True triaxial tests of coarse-grained soil onπ-plane and its strength criterion[J].Journal of Hohai Unixersity(Natural Sciences),2015,43(1):11-15.
[20]DRUCKER D C,PRAGER W.Soil mechanics and plastic analysis or limit design[J].Quart Appl Math,1952,10(2):157-165.
[21]LADE P V,DUNCAN J M.Elastoplastic stressstrain theory for cohesionless soil[J].J Geotech Eng Div,1975,101(10):1037-1053.
[22]MATSUOKA H,NAKAI T.Stress-deformation and strength characteristis of soil under three different principal stresses[J].Proceedings of the Japan Society of Civil Engineers,1974,232:59-70.
[23]YAO Y,LU D,ZHOU A,et al.Generalized nonlinear strength theory and transformation in stress spaces[J].Science in China,2004,47(6):691-709.
[24]YAO Y P,HU J,ZHOU A,et al.Unified strength criterion for soils,gravels,rocks,and concretes[J].Acta Geotechnica,2015,10(6):749-759.
[2]LAI Y M,JIN L,CHANG X X.Yield criterion and elasto-plastic damage constitutive model for frozen sandy soil[J].International Journal of Plasticity,2009,25(6):1177-1205.
[3]周国庆,况联飞,马金荣,等.深土力学特性研究现状及发展展望[J].中国矿业大学学报,2016,45(2):195-204.ZHOU Guoqing,KUANG Lianfei,MA Jinrong,et al.Status quo and prospects of the deep soil mechanical properties[J].Journal of China University of Mining&Technology,2016,45(2):195-204.
[4]崔托维奇H A.冻土力学[M].张长庆,朱元林,译.北京:科学出版社.1985:1-9.TSYTOVICH H A.The mechanics of frozen ground[M].Translated by ZHANG C Q,ZHU Y L.Beijing:Science Press,1985:1-9.
[5]张慧梅,彭川,杨更社,等.考虑冻融效应的岩石损伤统计强度准则研究[J].中国矿业大学学报,2017,46(5):1066-1072.ZHANG Huimei,PENG Chuan,YANG Gengshe,et al.Study of damage statistical strength criterion of rock considering the effect of freezing and thawing[J].Journal of China University of Mining&Technology,2017,46(5):1066-1072.
[6]阴琪翔,周国庆,赵晓东,等.双向冻结单向融化土冻融循环下的融沉及压缩特性[J].中国矿业大学学报,2015,44(3):437-443.YIN Qixiang,ZHOU Guoqing,ZHAO Xiaodong,et al.Thaw settlement and compression properties of silty clay under freezing-one direction thawing[J].Journal of China University of Mining&Technology,2015,44(3):437-443.
[7]TINH J M,MARTIN R T,LADD C C.Mechanisms of strength for frozen sand[J].Journal of Geotechnical Engineering,1983,109(10):1286-1302.
[8]赵晓东,周国庆,李生生.不同温度梯度冻结中砂加卸荷变形特性研究[J].中国矿业大学学报,2010,39(2):158-162.ZHAO Xiaodong,ZHOU Guoqing,LI Shengsheng.Deformation properties of frozen sand during loading and unloading in the presence of a thermal gradient[J].Journal of China University of Mining&Technology,2010,39(2):158-162.
[9]YANG Y G,LAI Y M,LI J B.Laboratory investigation on the strength characteristic of frozen sand considering effect of confining pressure[J].Cold Regions Science and Technology,2010,60(3):245-250.
[10]LAI Y M,YANG Y G,CHANG X X,et al.Strength criterion and elastoplastic constitutive model of frozen silt in generalized plastic mechanics[J].International Journal of Plasticity,2010,26(10):1461-1484.
[11]罗汀,罗小映.适用于冻土的广义非线性强度准则[J].冰川冻土,2011,33(4):772-777.LUO Ting,LUO Xiaoying.Applications of generalized Non-Linear strength theory to frozen soil[J].Journal of Glaciology and Geocryology,2011,33(4):772-777.
[12]LAI Y M,LIAO M K,HU K.A constitutive model of frozen saline sandy soil based on energy dissipation theory[J].International Journal of Plasticity,2016,78(3):84-113.
[13]ZHANG D,LIU E,LIU X,et al.A new strength criterion for frozen soils considering the influence of temperature and coarse-grained contents[J].Cold Regions Science and Technology,2017,143(8):1-12.
[14]郭妍,王大雁,马巍,等.冻土空心圆柱仪的研发与应用[J].哈尔滨工业大学学报,2016,48(12):114-120.GUO Yan,WANG Dayan,MA Wei,et al.Development and application of frozen hollow cylinder apparatus[J].Journal of Harbin Institute of Technology,2016,48(12):114-120.
[15]JIANG Mingjing,SHEN Zhifu,LI Liqing,et al.Anovel specimen preparation method for TJ-1lunar soil simulant in hollow cylinder apparatus[J].Journal of Rock Mechanics and Geotechnical Engineering,2012,4(4):312-325.
[16]李广信.高等土力学[M].北京:清华大学出版社,2005:114-179.LI Guangxin.Advanced soil mechanics[M].Beijing:Tsinghua University Press,2005:114-179.
[17]LEE D H,JUANG C H,CHEN J W,et al.Stress paths and mechanical behavior of a sandstone in hollow cylinder tests[J].International Journal of Rock Mechanics&Mining Sciences,1999,36(7):857-870.
[18]HIGHT D W,GENS A,SYMES M J.The development of a new hollow cylinder apparatus for investigating the effects of principal stress rotation in soils[J].Géotechnique,1983,33(4):355-383.
[19]施维成,朱俊高,代国忠,等.粗粒土在π平面上的真三轴试验及强度准则[J].河海大学学报(自然科学版),2015,43(1):11-15.SHI Weicheng,ZHU Jungao,DAI Guozhong,et al.True triaxial tests of coarse-grained soil onπ-plane and its strength criterion[J].Journal of Hohai Unixersity(Natural Sciences),2015,43(1):11-15.
[20]DRUCKER D C,PRAGER W.Soil mechanics and plastic analysis or limit design[J].Quart Appl Math,1952,10(2):157-165.
[21]LADE P V,DUNCAN J M.Elastoplastic stressstrain theory for cohesionless soil[J].J Geotech Eng Div,1975,101(10):1037-1053.
[22]MATSUOKA H,NAKAI T.Stress-deformation and strength characteristis of soil under three different principal stresses[J].Proceedings of the Japan Society of Civil Engineers,1974,232:59-70.
[23]YAO Y,LU D,ZHOU A,et al.Generalized nonlinear strength theory and transformation in stress spaces[J].Science in China,2004,47(6):691-709.
[24]YAO Y P,HU J,ZHOU A,et al.Unified strength criterion for soils,gravels,rocks,and concretes[J].Acta Geotechnica,2015,10(6):749-759.