Three-dimensional lower bound finite element limit analysis of Hoek-Brown material using semidefinite programming

被引:56
作者
Ukritchon, Boonchai [1 ]
Keawsawasvong, Suraparb [1 ]
机构
[1] Chulalongkorn Univ, Fac Engn, Dept Civil Engn, Geotech Res Unit, Bangkok 10330, Thailand
关键词
Rock mass; Hoek-Brown; Finite element limit analysis; Lower bound; Semidefinite programming; ULTIMATE BEARING CAPACITY; DISCONTINUOUS ROCK MASS; UNDERGROUND EXCAVATIONS; STRENGTH CRITERION; STABILITY ANALYSIS; CIRCULAR FOOTINGS; SLOPES; MECHANISM; PILE;
D O I
10.1016/j.compgeo.2018.09.002
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A reliable and accurate stability analysis in Hoek-Brown rock masses under fully three-dimensional geometries requires an efficient and powerful computational method. This paper presents a computational implementation of a three-dimensional lower bound finite element limit analysis using semidefinite programming for Hoek-Brown rock masses. Its computational performance is investigated extensively through a variety of boundary value problems in rock mechanics, namely triaxial compression, bearing capacity and cavity contraction. New lower bound solutions are numerically derived, including bearing capacity of square footings, uniaxial compression of cube and cylindrical rock specimens with fully rough platens and tension test on double notched rock specimens.
引用
收藏
页码:248 / 270
页数:23
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