The theory of limit analysis is presented for a three-dimensional stability problem of excavation. In
frictional soil, the failure surface has the shape of logarithm helicoid, with the outline profile defined by a logspiral
curve. The internal dissipation rate of energy caused by soil cohesion and gravity power of the failure soil
is obtained through theoretical derivation. By solving the energy balance equation, the stability factor for the
excavation is obtained. Influence of the ratio of width to height, the slope angle, and the top angle on the stability
is examined. Numerical results of the proposed algorithm are presented in the form of non dimensional graph.
Examples illustrate the practical use of the results.
HAN Chang-yu1,2 (韩长玉), CHEN Jin-jian1 (陈锦剑), WANG Jian-hua1 (王建华), XIA Xiao-he1* (夏小和)
. Three-Dimensional Stability Analysis of Excavation Using Limit Analysis[J]. Journal of Shanghai Jiaotong University(Science), 2013
, 18(6)
: 646
-649
.
DOI: 10.1007/s12204-013-1445-7
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