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下限问题中新的莫尔-库仑屈服面线性化方法

李春光 朱宇飞 刘丰 邓琴 郑宏

李春光, 朱宇飞, 刘丰, 邓琴, 郑宏. 下限问题中新的莫尔-库仑屈服面线性化方法[J]. 力学学报, 2013, 45(2): 245-250. doi: 10.6052/0459-1879-12-187
引用本文: 李春光, 朱宇飞, 刘丰, 邓琴, 郑宏. 下限问题中新的莫尔-库仑屈服面线性化方法[J]. 力学学报, 2013, 45(2): 245-250. doi: 10.6052/0459-1879-12-187
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

下限问题中新的莫尔-库仑屈服面线性化方法

doi: 10.6052/0459-1879-12-187
基金项目: 国家重点基础研究发展计划(973)项目(2011CB013505),中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室知识创新工程青年人才领域前沿项目(O613021Q01).
详细信息
    通讯作者:

    李春光,副研究员,主要研究方向:计算岩土力学.E-mail:cgli@whrsm.ac.cn

  • 中图分类号: O344.5

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).
  • 摘要: 相比极限平衡法,基于下限原理的极限分析法具有更严谨的力学基础,且得到的安全系数偏于安全,更具有实用价值. 尽管很多学者对其进行了有益的研究,然而经典的线性化方法不能解决一般的强度各向异性问题. 在方位角离散化的基础上,建立各离散方位平面上的屈服条件,同时引入伪黏聚力以保证其具有下限性质.算例表明,该方法可以稳定地从极限解的下方收敛. 该方法不仅丰富了基于线性规划模型的下限有限元理论,而且为材料各向异性本构问题的计算打下了理论基础.

     

  • 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  
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出版历程
  • 收稿日期:  2012-06-28
  • 修回日期:  2013-01-10
  • 刊出日期:  2013-03-18

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