General axisymmetric active earth pressure obtained by the characteristics method based on circumferential geometric condition
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Existing solutions for axisymmetric active earth pressure are based on certain hypotheses of the circumferential stress, lacking of strict basis. This article presents a technique for deriving the actual circumferential stress according to the circumferential geometric condition, the Drucker-Prager criterion and incremental theory. Based on the actual circumferential stress, a new characteristics method for determining the axisymmetric active earth pressure in plastic flow is developed in this article. In this new method, the inclined angle of boundaries, interface friction of contact interface, dilatation effect and flow velocity of soil are considered at the same time. The validity of the new method is confirmed using several sets of experimental data from the literature. The pressure coefficients are investigated individually in detail, and some different conclusions are found. Finally, a practical formula for calculating axisymmetric active earth pressure is presented based on the linear superposition principle, and related tables of coefficients are also provided for engineering application.
Keywordsaxisymmetric active earth pressure characteristics method practical calculation formula earth pressure coefficients dilatation effect the Drucker-Prager yield criterion
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This work was supported by the National Natural Science Foundation of China (Grant No. 51678360), the Shanghai Science and Technology Commission Project (Grant No. 19QC1400800), and the National Basic Research Program of China (Grant No. 2014CB046302).
- 1.Qu J T Zhou J. 3-Dimensional numerical analysis in a very deep circle pit. J Kunming Univ Sci Tech (Sci Tech), 2004, 29: 96–99Google Scholar
- 2.Kumagai T, Ariizumi K, Kashiwagi A. Behaavior large-scale cylindrical earth retaining structure. Stions, 2005, 39: 13–26Google Scholar
- 3.Zhu S Q. Calculation of ground pressure on shaft due to deep overburden. J China Univ Mining Tech, 1981, 1: 6Google Scholar
- 4.Zhang M J. Earth pressure on shaft sunk in thick overburden. J China Univ Mining Tech, 1983, 2: 7Google Scholar
- 5.Ma Y M. Theory and practice of ground pressure on shaft due to thick overburden. J China Univ Mining Tech, 1979, 1: 3Google Scholar
- 7.Berezantzev V G. Earth pressure on the cylindrical retaining wall. In: Proceedings of the International Society of Soil Mechanics and foundation Engineering (ISSMFE) Conference on Earth Pressure Problems. London: Butterworths, 1958. 21–27Google Scholar
- 10.Jenike A W, Yen B C. Slope Stability in Axial Symmetry. In: Proceedings of the 5th Symposium on Rock Mechanics. University of Minnesota, New York, 1962. 689–711Google Scholar
- 13.Houlsby G T, Wroth C P. Direct solution of plasticity problems in soils by the method of characteristics. NASA STI/Recon Technical Report. 1982Google Scholar
- 16.Cheng Y M, Hu Y Y. Active earth pressure on circular shaft lining obtained by simplified slip line solution with general tangential stress coefficient. Chin J Geotech Eng, 2005, 27: 110–115Google Scholar
- 27.Hu X R. Calculation method of pressures acting on shaft wall based on twin shear unified spatially axisymmetric characteristics line theory. Rock Soil Mech, 2007, 28: 2083–2086Google Scholar
- 30.Xiong G J, Wang J H. A rigorous characteristic line theory for axisymmetric problems and its application in circular excavations. Acta Geotech, 2018, 35: 1–15Google Scholar
- 34.Kerisel J, Absi E. Active and Passive Earth Pressure Tables. Rotterdam: Balkema, 1973Google Scholar