殷建华,陈健,李焯芬. 岩土边坡稳定性的刚体有限元上限分析法[J]. (岩石力学与工程学报), 2004, 23(6): 898―905.Yin Jianhua,Chen Jian,Lee C F. Upper limit analysis of stability of rock and soil slopes using rigid finite elements [J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23(6): 898―905. (in Chinese)
[2]
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[J]. (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 [J]. Journal of Shanghai Jiaotong University, 2004, 38(6): 992―995. (in Chinese)
[3]
黄齐武,黄茂松,王贵和. 基于下限有限元法的条形浅基础极限承载力分析[J]. (岩土工程学报), 2007, 29(4): 572―579.Huang Qiwu,Huang Maosong,Wang Guihe. Calculation of bearing capacity of strip footings using lower bound limit method [J]. Chinese Journal of Geotechnical Engineering, 2007, 29(4): 572―579. (in Chinese)
[4]
陈炜,王均星. 节理岩质边坡的块体元塑性极限分析下限法[J]. (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 [J]. Chinese Journal of Geotechnical Engineering, 2008, 30(2): 272―277. (in Chinese)
[5]
杨小礼. 岩石极限分析非线性理论及其应用[J]. (中南大学学报(自然科学版)), 2009, 40(1): 225―229.Yang Xiaoli. Limit analysis with nonlinear criterion in rock masses and its applications [J]. Journal of Central South University (Science and Technology), 2009, 40(1): 225―229. (in Chinese)
[6]
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[J]. (岩石力学与工程学报), 2012, 31(3): 461―468.Li Chunguang,Zhu Yufei,Liu Feng,et al. Lower bound limit analysis by quadrilateral finite element method [J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(3): 461―468. (in Chinese)
[7]
Zhang X F,Liu Y H,Cen Z Z. Boundary element methods for lower bound limit and shakedown analysis [J]. Engineering Analysis with Boundary Elements, 2004, 28(8): 905―917.
[8]
Chen S S,Liu Y H,Cen Z Z. Lower-bound limit analysis by using the EFG method and non-linear programming [J]. International Journal for Numerical Methods in Engineering, 2008, 74(3): 391―415.
[9]
郑宏,李春光,李焯芬,等. 求解安全系数的有限元法[J]. (岩土工程学报), 2002, 24(5): 626―628.Zheng Hong,Li Chunguang,Lee C F,et al. Finite element method for solving the factor of safety [J]. Chinese Journal of Geotechnical Engineering, 2002, 24(5): 626―628. (in Chinese)
[10]
Drucker D C,Greenberg H J,Prager W. The safety factor of an elastic-plastic body in plane strain [J]. Journal of Applied Mechanics-Transactions of the ASME, 1951, 18(4): 371―378.
[11]
Chen W F. Soil mechanics and theorems of limit analysis [J]. Journal of Soil Mechanics & Foundations Div, 1969: 493―518.
[12]
Lysmer J. Limit analysis of plane problems in soil mechanics [J]. Journal of Soil Mechanics & Foundations Div, 1970: 1311―1334.
[13]
Sloan S W. lower bound limit analysis using finite-elements and linear-programming [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1988, 12(1): 61―77.
[14]
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[J]. (岩土工程学报), 1997, 19(5): 84―89.Li Guoying,Shen Zhujiang. Lower limit analysis using finite elements and its application to geotechnical problems [J]. Chinese Journal of Geotechnical Engineering, 1997, 19(5): 84―89. (in Chinese)