THERMO-ELASTO-PLASTIC MODEL FOR SATURATED CLAY BASED ON
THE CONCEPT OF SUBLOADING SURFACE
GONG Zhe1,CHEN Weizhong1,2,YU Hongdan1,MA Yongshang1,LI Xiangling3
(1. Institute of Rock and Soil Mechanics,Chinese Academy of Sciences,Wuhan,Hubei 430071,China;
2. Geotechnical and Structural Engineering Research Center,Shandong University,Jinan,Shandong 250061,China;
3. Euridice,SCK•CEN,Belgian Nuclear Research Centre,Mol 2400,Belgium)
Abstract:The coupled thermo-mechanical behavior of saturated clays is summarized,including the temperature effects on volume change,pore pressure,preconsolidation pressure,strength and elastic modulus. Based on the experimental results,a thermal yield surface is introduced to describe the temperature-induced reversible and irreversible volume change of saturated clay. A subloading surface model was extended to consider the temperature effects was established. The extended model can depict the decrease of preconsolidation pressure of overconsolidated clay and the hardening of yield surface by temperature-induced plastic strain. The model was then proved to strictly satisfy the thermodynamic theorems. With the developed model,numerical simulations of drained heating tests,drained and undrained triaxial compression tests of clay with different OCR under different temperature are performed. The simulated results was compared with existing test results,which shows that the model can describe the volume change induced by temperature change,the thermal softening effect on overconsolidated clay and thermal hardening effect of normally consolidated clay.
龚 哲1,陈卫忠1,2,于洪丹1,马永尚1,李香玲3. 基于下加载面概念的饱和黏土温度–应力耦合弹塑性模型[J]. 岩石力学与工程学报, 2015, 34(7): 11-11.
GONG Zhe1,CHEN Weizhong1,2,YU Hongdan1,MA Yongshang1,LI Xiangling3. THERMO-ELASTO-PLASTIC MODEL FOR SATURATED CLAY BASED ON
THE CONCEPT OF SUBLOADING SURFACE. , 2015, 34(7): 11-11.
[1] GENS A,OLIVELLA S. Clay barriers in radioactive waste disposal[J]. Revue française de génie civil,2001,5(6):845–856.
[2] CAMPANELLA R G,MITCHELL J K. Influence of temperature variations on soil behavior[J]. Journal of Soil Mechanics & Foundations Div,1968.
[3] TIDFORS M,SALLFORS G. Temperature effect on preconsolidation pressure[J]. ASTM Geotechnical Testing Journal,1989,12(1).
[4] DEMARS K R,CHARLES R D. Soil volume changes induced by temperature cycling[J]. Canadian geotechnical journal,1982,19(2):188–194.
[5] DELAGE P,SULTAN N,CUI Y J. On the thermal consolidation of Boom clay[J]. Canadian Geotechnical Journal,2000,37(2):343–354.
[6] SULTAN N. Etude du comportement thermo-mécanique de l'argile de Boom:expériences et modélisation[Ph. D. Thesis] [D] Paris:École Nationale des Ponts et Chaussées,1997.
[7] ABUEL-NAGA H M,BERGADO D T,BOUAZZA A,et al. Volume change behaviour of saturated clays under drained heating conditions:experimental results and constitutive modeling[J]. Canadian Geotechnical Journal,2007,44(8):942–956.
[8] ABUEL-NAGA H M,BERGADO D T,RAMANA G V,et al. Experimental evaluation of engineering behavior of soft Bangkok clay under elevated temperature[J]. Journal of geotechnical and geoenvironmental engineering,2006,132(7):902–910.
[9] KUNTIWATTANAKUL P,TOWHATA I,OHISHI K,et al. Temperature effects on undrained shear characteristics of clay[J]. Soils and foundations,1995,35(1):147–162.
[10] HUECKEL T,BALDI G. Thermoplasticity of saturated clays:experimental constitutive study[J]. Journal of Geotechnical Engineering,1990,116(12):1 778–1 796.
[11] GRAHAM J,TANAKA N,CRILLY T,et al. Modified Cam-Clay modelling of temperature effects in clays[J]. Canadian geotechnical journal,2001,38(3):608–621.
[12] ROBINET J C,RAHBAOUI A,PLAS F,et al. A constitutive thermomechanical model for saturated clays[J]. Engineering Geology,1996,41(1):145–169.
[13] CUI Y J,SULTAN N,DELAGE P. A thermomechanical model for saturated clays[J]. Canadian Geotechnical Journal,2000,37(3):607–620.
[14] 崔玉军,叶为民. 饱和黏土热–力学体积变形特征模拟研究[J]. 岩石力学与工程学报,2006,24(21):3 903–3 910.(CUI Yujun YE Weimin. On modeling of thermo-mechanical volume change behavior of saturated clays[J]. Chinese Journal of Rock Mechanics and Engineering,2006,24(21):3 903–3 910.(in Chinese))
[15] 姚仰平,杨一帆,牛 雷. 考虑温度影响的 UH 模型[J]. 中国科学:技术科学,2011,41(2):158–169.(YAO Yangping,YANG Yifan,NIU Lei. UH model considering temperature effects[J]. Science China Technological Sciences,2011,41(2):158–169.(in Chinese))
[16] YAO Y P,YANG Y F,NIU L. UH model considering temperature effects[J]. Science China Technological Sciences,2011,54(1):190–202.
[17] ZHANG S,LENG W,ZHANG F,et al. A simple thermo-elastoplastic model for geomaterials[J]. International Journal of Plasticity,2012,34:93–113.
[18] PLUM R L,ESRIG M I. Some temperature effects on soil compressibility and pore water pressure[J]. Highway Research Board Special Report,1969,(103).
[19] BALDI G,HUECKEL T,PEANO A,et al. Developments in modelling of thermo-hydro-geomechanical behaviour of Boom clay and clay-based buffer materials[R]. Commission of the European Communities,Nuclear Science and Technology,EUR 13365/2.
[20] CEKEREVAC C,LALOUI L. Experimental study of thermal effects on the mechanical behaviour of a clay[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2004,28(3):209–228.
[21] BAI B,SU Z. Thermal responses of saturated silty clay during repeated heating–cooling processes[J]. Transport in porous media,2012,93(1):1–11.
[22] 白 冰,赵成刚. 温度对黏性土介质力学特性的影响[J]. 岩土力学,2004,24(4):533–537.(BAI Bing,ZHAO Chenggang. Temperature effects on mechanical characteristics of clay soils[J]. Rock and Soil Mechanics,2004,24(4):533–537.(in Chinese))
[23] MORIN R,SILVA A J. The effects of high pressure and high temperature on some physical properties of ocean sediments[J]. Journal of Geophysical Research:Solid Earth (1978–2012),1984,89(B1):511–526.
[24] PAASWELL R E. Temperature effects on clay soil consolidation[J]. Journal of Soil Mechanics and Foundation Engineering,ASCE,1967,93(SM3):9–22.
[25] HABIBAGAHI K. Temperature effect and the concept of effective void ratio[J]. Indian Geotechnical Journal,1977,7(1):14–34.
[26] TIDFORS M,SALLFORS G. Temperature effect on preconsolidation pressure[J]. ASTM Geotechnical Testing Journal,1989,12(1).
[27] MORITZ L,GABRIELSSON A. Temperature Effect on the Properties of Clay[J]. GEOTECHNICAL SPECIAL PUBLICATION,2001:304–314.
[28] BOUDALI,M. Comportement tridimensionnel et visqueux des argiles naturelles[Ph. D. Thesis] [D],Quebec:Université Laval,1995.
[29] LALOUI L,CEKEVERAC C,VULLIET L. Thermo-plasticity of clays:a simple constitutive approach[J]. Vulliet et al.(Eds.) Environmental Geomechanics,EPFL Press,Lausanne,Suisse,2002:45–58.
[30] Towhata I,Kuntiwattanaku P,Seko I. Volume change of clays induced by heating as observed in consolidation tests[J]. Soils and Foundations,1993,33(4):170–183.
[31] Hueckel T,Baldi G. Thermoplasticity of saturated clays:experimental constitutive study[J]. Journal of Geotechnical Engineering,1990,116(12):1 778–1 796.
[32] GHAHREMANNEJAD B. Thermo-Mechanical Behaviour of Two Reconstituted Clays[Ph. D. Thesis][D]. Sydney:Sydney University,2006.
[33] DE-BRUYN D,THIMUS J F. The influence of temperature on mechanical characteristics of Boom clay:the results of an initial laboratory programme[J]. Engineering Geology,1996,41(1):117–126.
[34] CUI Y J,LE T T,TANG A M,et al. Investigating the time-dependent behaviour of Boom clay under thermo-mechanical loading[J]. Geotechnique,2009,59(4) :319–329
[35] HASHIGUCHI K,UENO M. Elastoplastic constitutive laws of granular materials[C]]// Constitutive Equations of Soils. Proceedings of 9th International Conference on Soil Mechanics and Foundation Engineering,Specialty Session 9. Tokyo:Japanese Society of Soil Mechanics and Foundation Engineering,1977:73–82.
[36] 姚仰平,万 征,杨一帆,等. 饱和黏土不排水剪切的热破坏[J]. 岩土力学,2011,32(9):2 561–2 569.(YAO Yangping,WAN Zheng,YANG Yifan,et al. Thermal failure for saturated clay under undrained condition[J]. Rock and Soil Mechanics,2011,32(9):2 561–2 569. (in Chinese))