|
|
|
| NUMERICAL FORMAT OF SPATIALLY MOBILIZED PLANE CRITERION AND ITS REALIZATION IN FLAC3D |
| LI Tao1,LIAO Hongjian1,XIE Yongli2 |
(1. Department of Civil Engineering,Xi?an Jiaotong University,Xi?an,Shaanxi 710049,China;
2. School of Highway,Chang?an University,Xi?an,Shaanxi 710064,China) |
|
|
|
|
Abstract The numerical format in FLAC3D of spatially mobilized plane(SMP) criterion was derived and the plasticity factor λs is obtained by solving a cubic equation. Then the SMP criterion is imported into FLAC3D on the secondary development platform provided by the software using a dll document developed by C++. The feasibility of the dll document was certified by the comparison between numerical and analytical results of true triaxial numerical test,thick-walled cylinder problem and slope stability analysis. Slope stability analysis indicates that the slope failure processes are similar calculated by M-C and SMP criterion. The factor of safety calculated by SMP criterion is bigger than M-C and the plastic zone and displacement calculated by SMP is smaller than M-C using the same reduction factor because SMP criterion can consider the influence of intermediate principal stress on the yield surface.
|
|
Received: 21 December 2010
|
|
|
|
| [1] 沈珠江. 关于破坏函数和屈服函数的总结[J]. 岩土工程学报,1995,17(1):1–8.(SHEN Zhujiang. Summary on the failure criteria and yield functions[J]. Chinese Journal of Geotechnical Engineering,1995,17(1):1–8.(in Chinese))
[2] SIMPSON B,TATSUOKA F. Geotechnics:the next 60 years[J]. Geotechnique,2008,58(5):357–368.
[3] MATSUOKA H. A microscopic study on shear mechanism of granular materials[J]. Soils and Foundations,1974,14(1):29–43.
[4] MATSUOKA.H. Stress-strain relationship of sands based on the mobilized plane[J]. Soils and Foundations,1974,14(2):47–61.
[5] MATSUOKA H,NAKAI T. Stress-deformation and strength characteristics of soil under three different principal stresses[J]. Proceedings of JSCE,1974,14(1):29–43.
[6] MATSUOKA H,NAKAI T. Relationship among tresca,mises,Mohr-Coulomb and Matsuoka-Nakai failure criteria[J]. Soils and Foundations,1985,25(4):123–128.
[7] HOULSBY G T. A general failure criterion for frictional and cohesive materials[J]. Soils and Foundations,1986,26(2):97–101.
[8] MATSUOKA H,YAO Y P,SUN D A. The Cam-Clay model revised by the SMP criterion[J]. Soils and Foundations,1999,39(1):81–95.
[9] 姚仰平,侯 伟,罗 汀. 土的统一硬化模型[J]. 岩石力学与工程学报,2009,28(10):2 135–2 151.(YAO Yangping,HOU Wei,LUO Ting. Unified hardening model for soils[J]. Chinese Journal of Rock Mechanics and Engineering,2009,28(10):2 135–2 151.(in Chinese))
[10] 朱建明,彭新坡,姚仰平,等. SMP准则在计算煤柱极限强度中的应用[J]. 岩土力学,2010,31(9):2 987–2 990.(ZHU Jianming,PENG Xinpo,YAO Yangping,et al. Application of SMP failure criterion to computing limit strength of coal pillars[J]. Rock and Soil Mechanics,2010,31(9):2 987–2 990.(in Chinese))
[11] 江 强,朱建明,姚仰平. 基于SMP准则的土体三维应力状态土压力问题[J]. 岩土工程学报,2006,28(增):1 415–1 417.(JIANG Qiang,ZHU Jianming,YAO Yangping. Earth pressures of three- dimensional soil stress states based on SMP failure criterion[J]. Chinese Journal of Geotechnical Engineering,2006,28(Supp.):1 415–1 417.(in Chinese))
[12] 郝冬雪,栾茂田,陈 榕,等. 基于广义SMP准则的线性软化柱形孔扩张分析[J]. 大连理工大学学报,2010,50(1):103–110.(HAO Dongxue,LUAN Maotian,CHEN Rong,et al. Analysis of cylindrical cavity expansion with linear softening behavior based on extended SMP criterion[J]. Journal of Dalian University of Technology,2010,50(1):103–110.(in Chinese))
[13] 陈育民,刘汉龙. 邓肯–张本构模型在 FLAC3D中的开发与实现[J]. 岩土力学,2007,28(10):2 123–2 126.(CHEN Yumin,LIU Hanlong. Development and implementation of Duncan-Chang constitutive model in FLAC3D[J]. Rock and Soil Mechanics,2007,28(10):2 123– 2 126. (in Chinese))
[14] 张传庆,周 辉,冯夏庭. 统一弹塑性本构模型在FLAC3D中的计算格式[J]. 岩土力学,2008,29(3):596–601.(ZHANG Chuanqing,ZHOU Hui,FENG Xiating. Numerical format of elastoplastic constitutive model based on the unified strength theory in FLAC3D[J]. Rock and Soil Mechanics,2008,29(3):596–601.(in Chinese))
[15] 陈育民,徐鼎平. FLAC/FLAC3D基础与工程实例[M]. 北京:中国水利水电出版社,2009:236–259.(CHEN Yumin,XU Dingping. An introduction and engineering application of FLAC/FLAC3D[M]. Beijing:China Water Power Press,2009:236–259. (in Chinese))
[16] Itasca Consulting Group,Inc.. Fast Lagrange analysis of continua in three dimensions,version 2.1,user?s manual[R]. [S.l.]:Itasca Consulting Group,Inc.,2003.
[17] 严宗达. 塑性力学[M]. 天津:天津大学出版社,1988:155–159.(YAN Zongda. Plastic mechanics[M]. Tianjin:University Press,1988:155–159.(in Chinese)) |
|
|
|