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| A unified solution of critical filling height for embankment considering#br#
intermediate principal stress and its comparisons |
| ZHANG Changguang,YAN Qing,ZHANG Chenglin |
| (School of Civil Engineering,Chang?an University,Xi'an,Shaanxi 710061,China) |
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Abstract The critical filling height is an important index for the settlement and stability control of embankment on soft soils. A unified formula under the plane strain condition was firstly deduced for three true triaxial strength criteria,i.e.,the generalized M-N criterion,the generalized L-D criterion and the unified strength theory. Then,the unified solutions for both the critical load of foundation and the critical filling height of embankment were presented by considering the intermediate principal stress and the actual lateral pressure coefficient. The unified solutions were validated and their applicable conditions were also provided. Finally,the effect of strength theory was investigated and parametric studies about the influence of cohesion and inner friction angle on the critical filling height of embankment were discussed. It is found that the proposed unified solutions have good comparability. The effect of strength theory(i.e.,the intermediate principal stress effect) on the critical filling height of embankment is remarkable and the result of M-C criterion is too conservative. Moreover,the generalized M-N criterion,the generalized L-D criterion and the unified strength theory with parameter b =1/2 are recommended to be adopted. The influence of lateral pressure coefficient,cohesion and inner friction angle on the critical filling height is significant. A real lateral pressure coefficient should be determined in situ,and the variability of strength parameters of ground soils should be fully considered.
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[1] LEROUEIL S,MAGNAN J P,TAVENAS F. Embankments on soft clays[M]. West Sussex,England:Ellis Horwood Limited,1990:120–180.
[2] 高大钊. 土力学与基础工程[M]. 北京:中国建筑工业出版社,1998:161–166.(GAO Dazhao. Soil mechanics and foundation engineering[M]. Beijing:China Architecture and Building Press,1998:161–166.(in Chinese))
[3] 冷伍明,赵 健,何 群. 路堤下软土地基承载力的计算研究[J]. 土木工程学报,2005,38(4):120–124.(LENG Wuming,ZHAO Jian, HE Qun. A method for assessing the bearing capacity of a soft soil foundation under embankment[J]. China Civil Engineering Journal,2005,38(4):120–124.(in Chinese))
[4] 罗 汀,姚仰平,MATSUKA H. 基于SMP准则的土的平面应变强度公式[J]. 岩土力学,2000,21(4):390–393.(LUO Ting,YAO Yangping,MATSUKA H. Soil strength equation in plane strain based on SMP[J]. Rock and Soil Mechanics,2000,21(4):390–393.(in Chinese))
[5] NANDA S,PATRA N R. Determination of soil properties for plane strain condition from the triaxial tests results[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2015,39(9):1 014–1 026.
[6] 童怀峰,郭院成. 基于统一强度理论的路基临界填土高度计算分析[J]. 公路,2007,(11):90–93.(TONG Huaifeng,GUO Yuancheng. Calculation and analysis of critical filling height of roadbed based on unified strength theory[J]. Highway,2007,(11):90–93.(in Chinese))
[7] 江国勤,管同心,徐永福. 天然软土地基土路堤临界高度分析[J]. 路基工程,2011,(2):47–49.(JIANG Guoqin,GUAN Tongxin,XU Yongfu. Analysis on critical height of embankment on natural soft foundation[J]. Subgrade Engineering,2011,(2):47–49.(in Chinese))
[8] 朱 福,战高峰,佴 磊. 公路工程路堤临界填土高度一种计算方法研究[J]. 工程力学,2013,30(7):142–146.(ZHU Fu,ZHAN Gaofeng,NIE Lei. Study on a calculation method of critical filling height of embankment of highway engineering[J]. Engineering Mechanics,2013,30(7):142–146.(in Chinese))
[9] 俞茂宏. 双剪理论及其应用[M]. 北京:科学出版社,1998:249–288.(YU Maohong. Twin-shear theory and its application[M]. Beijing:Science Press,1998:249–288.(in Chinese))
[10] 郭力群,蔡奇鹏,彭兴黔. 条带煤柱设计的强度准则效应研究[J]. 岩土力学,2014,35(3):777–782.(GUO Liqun,CAI Qipeng,PENG Xingqian. Effect of strength criterion on design of strip coal pillar[J]. Rock and Soil Mechanics,2014,35(3):777–782.(in Chinese))
[11] MATSUKA H,SUN D A. Extension of spatially mobilized plane (SMP) to friction and cohesive materials and its application to cemented sands[J]. Soils and Foundations,1995,35(4):63–72.
[12] LADE P V,KIM M K. Single hardening constitutive model for frictional materials II. Yield criterion and plastic work contours[J]. Computers and Geotechnics,1988,6(1):13–29.
[13] 姜福兴,刘金海,王 平. 基于Druker-Prager准则的煤层冲击失稳模型[J]. 煤炭学报,2011,36(5):727–731.(JIANG Fuxing,LIU Jinhai,WANG Ping. Model of coal burst and instability based on Druker-Prager yield criterion[J]. Journal of China Coal Society,2011,36(5):727–731.(in Chinese))
[14] 俞茂宏. 岩土类材料的统一强度理论及其应用[J]. 岩土工程学报,1994,16(2):1–10.(YU Maohong. Unified strength theory for geomaterials and its applications[J]. Chinese Journal of Geotechnical Engineering,1994,16(2):1–10.(in Chinese))
[15] MATSUKA H,NAKAI T. Stress-deformation and strength characteristics of soil under three different principal stresses[C]// Proceedings of Japan Society of Civil Engineers. [S.l.]:[s.n.],1974:59–70.
[16] 朱建明,吴则祥,张宏涛,等. 基于Lade-Duncan和SMP两种强度准则的岩石残余应力研究[J]. 岩石力学与工程学报,2012,31(8):1 715–1 720.(ZHU Jianming,WU Zexiang,ZHANG Hongtao,et al. Study of residual stress of rock based on Lade-Duncan and SMP strength criteria[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(8):1 715–1 720.(in Chinese))
[17] LADE P V,DUNCAN J M. Elasto-plastic stress-strain theory for cohesionless soils[J]. Journal of the Geotechnical Engineering Division,ASCE,1975,101(GT10):1 037–1 053.
[18] ZHANG C G,ZHAO J H,ZHANG Q H,et al. A new closed-form solution for circular openings modeled by the unified strength theory and radius-dependent Young?s modulus[J]. Computers and Geotechnics,2012,42:118–128.
[19] 赵树德. 地基弹塑性承载力K≠1.0时的计算公式[J]. 西安建筑科技大学学报,1995,27(3):294–298.(ZHAO Shude. Formulation of bearing capacity of subgrade with K≠1.0[J]. Journal of Xi?an University of Architecture and Technology,1995,27(3):294–298.(in Chinese))
[20] 现代工程数学手册编委会. 现代工程数学手册[M]. 武汉:华中工学院出版社,1985:1 163–1 700.(Editorial Committee of Handbook of Modern Mathematics in Science and Engineering. Handbook of modern mathematics in science and engineering[M]. Wuhan:Huazhong Institute of Technology Press,1985:1 163–1 700.(in Chinese))
[21] 张常光,曾开华,赵均海. 非饱和土临界荷载和太沙基极限承载力解析解[J]. 同济大学学报:自然科学版,2010,38(12):1 736–1 740. (ZHANG Changguang,ZENG Kaihua,ZHAO Junhai. Analytical solutions of critical load and Terzaghi's ultimate bearing capacity for unsaturated soil[J]. Journal of Tongji University:Natural Science,2010,38(12):1 736–1 740.(in Chinese))
[22] 张常光,胡云世,赵均海. 平面应变条件下非饱和土抗剪强度统一解及其应用[J]. 岩土工程学报,2011,33(1):32–37.(ZHANG Changguang,HU Yunshi,ZHAO Junhai. Unified solution of shear strength for unsaturated soil under plane strain condition and its application[J]. Chinese Journal of Geotechnical Engineering,2011,33(1):32–37.(in Chinese)) |
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