基于渐进均匀化方法的土工格室材料设计与应用
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摘要
土工格室加筋层设计应考虑其各向异性的力学性能,利用试验方法测得所有各向异性常数较为困难。通过对土工格室加筋层代表体积单元进行多尺度分析和加筋路堤实体建模仿真,得到所需参数。计算结果表明:采用渐进均匀化方法能够计算三维土工格室加筋层的等效弹性常数,并推导出杨氏模量、泊松比和剪切模量;土工格室的铺设方式对加筋层水平方向的杨氏模量、泊松比和剪切模量有显著影响;加筋层水平方向的泊松比分量为负值,表明加筋层在该平面内有负泊松比特性;土工格室在路基中采用45°铺设方式比采用0°铺设方式可减少路基水平方向的变形值,但对竖向沉降几乎没有影响。
Anisotropy mechanical properties should be concerned as designing the geocell-reinforcement of embankment, and measuring all anisotropic constants is difficult by experimental method. The required parameters were obtained by the multi-scale analysis of representative volume elements(RVE) of the geocell-reinforcement and simulation of the reinforced embankment. The conclusions are summarized as follows:The equivalent elastic constants of the 3D geocell-reinforcement could be computed by AHM, and Young's modulus, Poisson's ratio and shear modulus are deduced by using these; Laying method of geocell affected markedly the mechanical parameters such as Young's modulus, Poisson's ratio and shear modulus of the geocell-reinforcement; The Poisson's ratio components in horizontal direction of the geocell-reinforcement are negative, which indicates that the geocell-reinforcement has a negative Poisson's ratio characteristic in horizontal direction; Comparing with adopting the 0° laying method of geocell, adopting the 45° laying method of geocell could reduce horizontal deformation values of embankment, but has little effect on the vertical settlement of embankment.
Anisotropy mechanical properties should be concerned as designing the geocell-reinforcement of embankment, and measuring all anisotropic constants is difficult by experimental method. The required parameters were obtained by the multi-scale analysis of representative volume elements(RVE) of the geocell-reinforcement and simulation of the reinforced embankment. The conclusions are summarized as follows:The equivalent elastic constants of the 3D geocell-reinforcement could be computed by AHM, and Young's modulus, Poisson's ratio and shear modulus are deduced by using these; Laying method of geocell affected markedly the mechanical parameters such as Young's modulus, Poisson's ratio and shear modulus of the geocell-reinforcement; The Poisson's ratio components in horizontal direction of the geocell-reinforcement are negative, which indicates that the geocell-reinforcement has a negative Poisson's ratio characteristic in horizontal direction; Comparing with adopting the 0° laying method of geocell, adopting the 45° laying method of geocell could reduce horizontal deformation values of embankment, but has little effect on the vertical settlement of embankment.
引文
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[18]Leshchinsky B,Ling H.Effects of geocell confinement on strength and deformation behavior of gravel[J].Journal of Geotechnical and Geoenvironmental Engineering,2012,139(2):340-352.
[19]印长俊.周期性复合材料等效模量计算软件:中国,2012SR113371[P].2012.YIN Changjun.Periodic composite equivalent modulus calculation software:China,2012SR113371[P].2012.
[20]印长俊,肖鹏,屈畅姿.用渐进均匀化方法分析混凝土的弹性常数[C]//中国力学大会.北京,2017.YIN Changjun,XIAO Peng,QU Changzi.Computing elastic constants of concrete based on asymptotic homogenization method[C]//CCTAM 2017.Beijing,2017.
[21]Lakes R,Wojciechowski K W.Negative compressibility,negative Poisson's ratio,and stability[J].Physica Status Solidi,2008,245(3):545-551.
[2]Sireesh S,Sitharam T G,Dash S K.Bearing capacity of circular footing on geocell-sand mattress overlying clay bed with void[J].Geotextiles and Geomembranes,2009,27(2):89-98.
[3]晏长根,顾良军,杨晓华,等.土工格室加筋黄土的三轴剪切性能[J].中国公路学报,2017,30(10):17-24.YAN Changgen,GU Liangjun,YANG Xiaohua,et al.Triaxial shear properties of geocell-reinforced loess[J].China Journal of Highway and Transport,2017,30(10):17-24.
[4]Madhavi L G,Rajagopal K,Krishnaswamy N R.Experimental and theoretical investigations on geocellsupported embankments[J].International Journal of Geomechanics,2006,6(1):30-35.
[5]顾良军,谢永利,杨晓华.土工格室结构层工程性状试验研究[D].西安:长安大学,2004.GU Liangjun,XIE Yongli,YANG Xiaohua.Experimental study on engineering properties of geocell structural layer[D].Xi’an:Chang’an University,2004.
[6]高昂,张孟喜,朱华超,等.循环荷载及静载下土工格室加筋路堤模型试验研究[J].岩土力学,2016,37(7):1921-1928,1946.GAO Ang,ZHANG Mengxi,ZHU Huachao,et al.Experimental study on geocell-reinforced embankment model under cyclic loading and static load[J].Rock and Soil Mechanics,2016,37(7):1921-1928,1946.
[7]孙州,张孟喜,姜圣卫.条形荷载下土工格室加筋砂土路堤模型试验研究[J].岩土工程学报,2015,37(增2):170-175.SUN Zhou,ZHANG Mengxi,JIANG Shengwei.Experimental study on embankment model of geomer reinforced sandy soil under strip load[J].Journal of Geotechnical Engineering,2015,37(Suppl 2):170-175.
[8]Costa P A,Cal?ada R,Cardoso A S.Ballast mats for the reduction of railway traffic vibrations.Numerical study[J].Soil Dynamics and Earthquake Engineering,2012,42(4):137-150.
[9]ZHANG L,ZHAO M,SHI C,et al.Nonlinear analysis of a geocell mattress on an elastic-plastic foundation[J].Computers and Geotechnics,2012,42(3):204-211.
[10]YANG X.Numerical analyses of geocell-reinforced granular soils under static and repeated loads[D].Kansas:University of Kansas,2010.
[11]Dash S K,Shivadas A S.Performance improvement of railway ballast using geocells[J].Indian Geotechnical Journal,2012,42(3):186-193.
[12]边学成,宋广,陈云敏.Pasternak地基中土工格室加筋体的受力变形分析[J].工程力学,2012,29(5):147-155.BIAN Xuecheng,SONG Guang,CHEN Yunmin.Deformation behaviors of geocell-reinforcement in Pasternak ground[J].Engineering Mechanics,2012,29(5):147-155.
[13]Indraratna B,Nimbalkar S,Christie D,et al.Field assessment of the performance of a ballasted rail track with and without geosynthetics[J].Journal of Geotechnical and Geoenvironmental Engineering,2010,136(7):907-917.
[14]邓鹏,郭林,蔡袁强,等.考虑填料-土工格室相互作用的加筋路堤力学响应研究[J].岩石力学与工程学报,2015,34(3):621-630.DENG Peng,GUO Lin,CAI Yuanqiang,et al.Study on the mechanical response of reinforced embankment considering the interaction of filling and geocell[J].Journal of Rock Mechanics and Engineering,2015,34(3):621-630.
[15]Bensoussan A,Lions J L,Papanicolaou G.Asymptotic analysis for periodic structures[M].New York,America:AMS Chelsea Publishing,2011.
[16]Sanchez-Palencia E.Non-homogenous media and vibration theory[M].Berlin,Heideberg,New York:Springer-Verlag,1980.
[17]Hassani B,Hinton E.A review of homogenization and topology optimization II-analytical and numerical solution of homogenization equations[J].Computers&Structures,1998,69(6):719-738.
[18]Leshchinsky B,Ling H.Effects of geocell confinement on strength and deformation behavior of gravel[J].Journal of Geotechnical and Geoenvironmental Engineering,2012,139(2):340-352.
[19]印长俊.周期性复合材料等效模量计算软件:中国,2012SR113371[P].2012.YIN Changjun.Periodic composite equivalent modulus calculation software:China,2012SR113371[P].2012.
[20]印长俊,肖鹏,屈畅姿.用渐进均匀化方法分析混凝土的弹性常数[C]//中国力学大会.北京,2017.YIN Changjun,XIAO Peng,QU Changzi.Computing elastic constants of concrete based on asymptotic homogenization method[C]//CCTAM 2017.Beijing,2017.
[21]Lakes R,Wojciechowski K W.Negative compressibility,negative Poisson's ratio,and stability[J].Physica Status Solidi,2008,245(3):545-551.