Calculation of earth pressure on rigid retaining wall based on model indeterminacy

NARAIN J, SARAN S, NANDAKUMARAN P. Model study of passive earth pressures in sand[J]. Journal of the Soil Mechanics and Foundation Division, ASCE, 1969, 95(4): 969-983.

ICHIHARA M, MATSUZAWA H. Earth pressure during earthquake[J]. Soils and Foundations, 1973, 13(4): 75-86.

SHERIF M A, ISHIBASHI I, LEE C D．Earth pressures against rigid retaining walls[J]. Journal of the Geotechnical Engineering Division, ASCE, 1982, 108(5): 679-786.

FANG Y S, ISHIBASHI M. Static earth pressures with various walls movements[J]．Journal of Geotechnical Engineering,ASCE, 1986, 112(3): 317-333.

周应英. 桥用刚性挡土墙的土压力模型试验研究[J]. 国外公路, 1987, 7(3): 14-17. (ZHOU Ying-ying. Model test study of the earth pressure on the rigid retaining wall used in bridges[J]. Journal of Foreign Highway, 1987, 7(3): 14-17. (in Chinese))

周应英, 任美龙. 刚性挡土墙后主动土压力的试验研究[J].岩土工程学报, 1990, 12(2): 19-26. (ZHOU Ying-ying, REN Mei-long. Experimental study of the active earth pressure on rigid retaining wall[J]. Chinese Journal of Geotechnical Engineering, 1990, 12(2): 19-26. (in Chinese))

FANG Y S, CHEN T J, WU B E. Passive earth pressures with various walls movements[J]. Journal of Geotechnical Engineering, ASCE, 1994, 128(8): 651-659.

徐日庆, 陈页开, 杨仲轩, 等. 刚性挡墙被动土压力模型试验研究[J]. 岩土工程学报, 2002, 24(5): 569-575. (XU Ri-qing, CHEN Ye-kai, YANG Zhong-xuan, et a1. Experimentag research on the passve earth pressue acting on a rigid wall Chinese[J]. Journal of Geotechnical Engineering, 2002, 24(5): 569-575. (in Chinese))

李兴高, 刘维宁. 刚性挡墙上土压力不确定性的计算研究[J]. 岩土工程学报, 2007, 29(3): 353-359. (LI Xin-gao, LIU Wei-ning. Study on the indeterminacy of the earth pressure on rigid retaining walls[J]. Chinese Journal of Geotechnical Engineering, 2007, 29(3): 353-359. (in Chinese))

李兴高, 刘维宁, 张 弥. 关于库仑土压力理论的探讨[J].岩土工程学报, 2005, 27(6): 677-681. (LI Xing-gao, LIU Wei-ning, ZHANG Mi. Discussion on Coulomb earth pressure theory[J]. Chinese Journal of Geotechnical Engineering, 2005, 27(6): 677-681. (in Chinese))

李兴高, 刘维宁. 被动土压力作用的变分极限平衡法研究[J]. 工程力学, 2007, 24(1): 11-18. (LI Xing-gao, LIU Wei-ning. Study on the passive earth pressure by variational limit equilibrium method[J]. Engineering Mechanics, 2007, 24(1): 11-18. (in Chinese))

李兴高, 刘维宁. Coulomb土压力理论的两种解法[J].岩土力学, 2006, 27(6): 981-985. (LI Xing-gao, LIU Wei-ning. Two methods to get the Coulomb earth pressure theory[J]. Rock and Soil Mechanics, 2006, 27(6): 981-985. (in Chinese))

LI Xing-gao, LIU Wei-ning. Study on the action of the active earth pressure by variational limit equilibrium method[J]. Int J Numer Anal Meth Geomech, 2010, 34(10): 991-1008.

KOPÁSCY J. Three-dimensional stress distribution and slip surfaces in earth works at rupture[C]// Proceedings of the 4th International Conference on Soil Mechanics and Foundations Engineering. London, 1957(1): 339-342.

KOPASCY J. Distribution des contraintes àla rupture, forme de la surface de glissement et hauteur théorique des talus[C]// Proceedings of the 5th International Conference on Soil Mechanics and Foundations Engineering. Paris, 1961: 641-650. (KOPASCY J. Sliding surface shape and stress distribution of high slope[C]// Proceedings of the 5th International Conference on Soil Mechanics and Foundations Engineering. Paris, 1961: 641-650. (in Frence))

BAKER R, GARBER M. Variational analysis of the stability of slopes[C]// Proceedings of the 9th International Conference on Soil Mechanics and Foundations Engineering. Tokyo, 1977: 9-12.

BAKER R, GARBER M. Discussion of “On slip surface and slope stability analysis.” by Chen W F, Snitbhan N[J]. Soils and Foundations, 1977, 17(1): 65-68.

BAKER R, GARBER M. Theoretical analysis of the stability of slopes[J]. Géotechnique, 1978, 28(4): 395-411.

BAKER R. Sufficient conditions for existence of physically significant solutions in limiting equilibrium slope stability analysis[J]. International Journal of Solids and Structures, 2003, 40: 3717-3735.

GARBER M, BAKER R. Bearing capacity by variational method[J]. Journal of Geotechnical Engineering Division, ASCE, 1977, 103(11): 1209-1225.

GARBER M, BAKER R. Extreme-value problems of limiting equilibrium[J]. Journal of Geotechnical Engineering Division, ASCE, 1979, 105(10): 1155-1171.

SPENCER A J M, O’MAHONY T C. An application of the calculus of variations to rectilinear flow of granular materials[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1985, 9(2): 25-235.

LESHCHINSKY D, BAKER R. Three-dimensional slope tability: end effects[J]. Soils and Foundations, 1986, 26(4): 98-100.

LESHCHINSKY D, SAN K C. Pseudostatic seismic stability of slopes: design charts[J]. Journal of Geotechnical Engineering, ASCE, 1994, 120(9): 1514-1532.

栾茂田, 金崇磐, 林 皋. 非均质土体稳定性分析的广义极限平衡法及其应用[J]. 大连理工大学学报, 1991, 31(4): 463-471. (LUAN Mao-tian, JIN Chong-pan, LIN Gao. Generalized limit equilibrium method with applications for stability analysis of non-homogeneous soil structures and foundations[J]. Journal of Dalian University of Technology, 1991, 31(4): 463-471. (in Chinese))

陈 榕, 栾茂田, 郝冬雪, 等. 加筋地基极限承载力的变分解法[J]. 岩土工程学报, 2010, 32(5): 774-779. (CHEN Rong, LUAN Mao-tian, HAO Dong-xue, et al. The ultimate bearing capacity of reinforced foundation by variational solution[J]. Chinese Journal of Geotechnical Engineering, 2010, 32(5): 774-779. (in Chinese))

LI Xing-gao. Bearing capacity factors for eccentrically loaded strip footings using variational analysis[J]. Mathematical Problems in Engineering, 2013, 18(2): 470-474.

郝冬雪, 张永建, 陈 榕, 等. 输电线路掏挖基础极限上拔承载力变分解法[J]. 岩土力学, 2015, 36(1): 163-170. (HAO Dong-xue, ZHANG Yong-jian, CHEN Rong, et al. Variational solution of ultimate uplift capacity for excavated foundation of transmission tower[J]. Rock and Soil Mechanics, 2015, 36(1):163-170. (in Chinese))

王奎华, 马少俊, 吴文兵. 挡土墙后曲面滑裂面下黏性土主动土压力计算[J]. 西南交通大学学报, 2011, 46(5): 732-738. (WANG Kui-hua, MA Shao-jun, WU Wen-bing. Active earth pressure of cohesive soil backfill on retaining wall with curved sliding surface[J]. Journal of Southwest Jiaotong University, 2011, 46(5): 732-738. (in Chinese))