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 |
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
|
[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 |