EI、Scopus 收录
中文核心期刊
Li Chunguang, Zhu Yufei, Liu Feng, Deng Qin, Zheng Hong. A NEW LINEARIZATION METHOD OF MOHR-COULOMB YIELD SURFACE FOR LOWER BOUND PROBLEMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2): 245-250. DOI: 10.6052/0459-1879-12-187
Citation: Li Chunguang, Zhu Yufei, Liu Feng, Deng Qin, Zheng Hong. A NEW LINEARIZATION METHOD OF MOHR-COULOMB YIELD SURFACE FOR LOWER BOUND PROBLEMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2): 245-250. DOI: 10.6052/0459-1879-12-187

A NEW LINEARIZATION METHOD OF MOHR-COULOMB YIELD SURFACE FOR LOWER BOUND PROBLEMS

Funds: The project was supported by the National Basic Research Program of China (2011CB013505), the Knowledge Innovation Program of State Key Laboratory of Geomechanics and Geotechnical Engineering (O613021C01).
  • Received Date: June 27, 2012
  • Revised Date: January 09, 2013
  • Compared with the limit equilibrium method, the lower limit analysis has a more rigorous mechanics foundation, and the safety factor acquired by the lower limit analysis is more conservative and valuable. Although many scholars have done many useful researches on it, however, the classical linearization method cannot solve the general problem of the anisotropy of strength. In this paper, spatial discretization is implemented, and the yield criterions on the discrete directions are built. Finally, pseudo cohesion is introduced to keep the property of lower bound analysis. The examples show that the result can converge to exact solution stably from below. Proposed method not only enriches the lower bound theory based FEM and linear programming, also lays a solid foundation for anisotropic problems.
  • Drucker DC, Greenberg HJ, Prager W. The safety factor of an elastic-plastic body in plane strain. Journal of Applied Mechanics-Transactions of the ASME, 1951, 18(4): 371-378
    Chen WF. Soil mechanics and theorems of limit analysis. Journal of Soil Mechanics & Foundations Div, 1969, 95(2): 493-518
    Yu HS, Salgado R, Sloan SW, et al. Limit analysis versus limit equilibrium for slope stability. Journal of Geotechnical and Geoenvironmental Engineering, 1998, 124(1): 1-11
    Lysmer J. Limit analysis of plane problems in soil mechanics. Journal of Soil Mechanics & Foundations Div, 1970, 96(4): 1311-1334
    Sloan SW. Lower bound limit analysis using finite-elements and linear-programming . International Journal for Numerical and Analytical Methods in Geomechanics, 1988, 12(1): 61-77
    李国英, 沈珠江. 下限原理有限单元法及其在土工问题中的应用. 岩土工程学报, 1997, 19(5): 84-89 (Li Guoying, Shen Zhujiang. Lower limit analysis using finite elements and its application in geotechnical problems. Chinese Journal of Geotechnical Engineering,1997,19(5):84-89 (in Chinese))
    杨洪杰, 葛修润, 王建华 等. 序列二次规划 (SQP) 算法在三维下限分析中的应用. 上海交通大学学报, 2004, 38(6): 992-995 (Yang Hongjie, Ge Xiurun, Wang Jianhua, et al. Application of SQP algorithm in 3d lower sequential quadratic programming limit analysis. Journal of Shanghai Jiaotong University, 2004, 38(6): 992-995 (in Chinese))
    黄齐武. 基于锥形规划理论的数值极限分析下限法及其应用. [博士论文]. 上海: 同济大学, 2007 (Huang Qiwu. Numerical lower bound limit analysis using second-order cone programming and its applications. [PhD Thesis]. Shanghai: Tongji University, 2007 (in Chinese))
    陈炜, 王均星. 节理岩质边坡的块体元塑性极限分析下限法. 岩土工程学报, 2008, 30(2): 272-277 (Chen Wei, Wang Junxing. Plastic lower bound limit analysis using block element method for jointed rock slope. Chinese Journal of Geotechnical Engineering, 2008, 30(2): 272-277 (in Chinese))
    杨小礼, 李亮, 刘宝琛. 岩土工程中极限分析数值模拟的研究进展. 有色金属, 2002, 54(3): 107-112 (Yang Xiaoli, Li Liang, Liu Baochen. Research and development of limit analysis in geotechnical engineering. Nonferrous Metals, 2002, 54(3): 107-112 (in Chinese))
    Yu H, Sloan S. Limit analysis of anisotropic soils using finite elements and linear programming. Mechanics research communications, 1994, 21(6): 545-54
    Zhang XF, Liu YH, Cen ZZ. Boundary element methods for lower bound limit and shakedown analysis. Engineering Analysis with Boundary Elements, 2004, 28(8): 905-917
    陈莘莘, 刘应华, 岑章志. 极限下限分析的正交基无单元 Galerkin 法. 力学学报, 2007, 39(5): 633-640 (Chen Shenshen, Liu Yinghua, Cen Zhangzhi. Lower bound limit analysis by using the element-free galerkin method with orthogonal basis. Chinese Journal of Theoretical and Applied Mechanics, 2007, 39(5): 633-640 (in Chinese))
    李春光, 朱宇飞, 刘丰等. 基于四边形网格的下限原理有限元法. 岩石力学与工程学报, 2012, 31(3): 461-468 (Li Chunguang, Zhu Yufei, LiuFeng, et al. Lower bound limit analysis using finite element method of quadrilateral meshes. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(3): 461-468 (in Chinese))
    陈祖煜. 土质边坡稳定分析的原理, 方法与程序. 北京: 中国水利水电出版社, 2003 (ChenZuyu. Soil Slope Stability Analysis--Theory, Methods and Programs. Beijing: China WaterPower Press, 2003 (in Chinese))
    Zheng H, Tham L, Liu D. On two definitions of the factor of safety commonly used in the finite element slope stability analysis. Computers and Geotechnics, 2006, 33(3): 188-195
  • Related Articles

    [1]Mi Sien, Liu Xiaoming, Wei Yueguang. A TRANSITION METHOD FROM DISCRETE SIMULATION TO ELASTIC FEA OF CONTINUOUS MEDIA[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(11): 3080-3096. DOI: 10.6052/0459-1879-21-449
    [2]Guo Xiang, Jin Yanfei, Tian Qiang. DYNAMICS ANALYSIS OF STOCHASTIC SPATIAL FLEXIBLE MULTIBODY SYSTEM[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(6): 1730-1742. DOI: 10.6052/0459-1879-20-273
    [3]Jiao Yunlong, Liu Xiaojun, Liu Kun. MECHANICAL ANALYSIS OF A DROPLET SPREADING ON THE DISCRETE TEXTURED SURFACES[J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(2): 353-360. DOI: 10.6052/0459-1879-15-257
    [4]Direct treatment and discretizations of non-linear dynamics of suspended cable[J]. Chinese Journal of Theoretical and Applied Mechanics, 2005, 37(3): 329-338. DOI: 10.6052/0459-1879-2005-3-2003-478
    [5]A universal numerical discretization method on different meshes[J]. Chinese Journal of Theoretical and Applied Mechanics, 2004, 36(4): 393-400. DOI: 10.6052/0459-1879-2004-4-2003-170
    [6]DISCRETE SLIP MODEL OF CRYSTALS AND FINITE ELEMENT ANALYSIS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1997, 29(3): 278-286. DOI: 10.6052/0459-1879-1997-3-1995-227
    [7]SENSITIVITY ANALYSIS OF DISCRETE VIBRATORY SYSTEMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1995, 27(2): 180-188. DOI: 10.6052/0459-1879-1995-2-1995-421
    [8]DISCRETE ANALYSIS METHOD OF RANDOM VIBRATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(4): 473-479. DOI: 10.6052/0459-1879-1992-4-1995-763
    [9]ON TOPOLOGY OPTIMIZATION OF TRUSSES WITH MULTIPLE LOADING CONDITIONS AND BE-HAVIOUR CONSTRAINTS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(1): 59-70. DOI: 10.6052/0459-1879-1992-1-1995-712

Catalog

    Article Metrics

    Article views (1526) PDF downloads (788) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return