Three-dimensional lower bound finite element limit analysis of an anisotropic undrained strength criterion using second-order cone programming

被引:64
作者
Ukritchon, Boonchai [1 ]
Keawsawasvong, Suraparb [1 ]
机构
[1] Chulalongkorn Univ, Fac Engn, Dept Civil Engn, Ctr Excellence Geotech & Geoenvironm Engn, Bangkok 10330, Thailand
关键词
Lower bound; Limit analysis; Second-order cone programming; Anisotropic strength; Finite element limit analysis; Stability; BEARING CAPACITY; CONSTITUTIVE MODEL; PULLOUT CAPACITY; STRIP FOOTINGS; STABILITY; EXCAVATIONS; FORMULATION; SLOPES; CLAYS; OPTIMIZATION;
D O I
10.1016/j.compgeo.2018.11.010
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper describes a formulation of second-order cone programming for three-dimensional lower bound finite element limit analysis considering a cross-anisotropic undrained strength criterion. A three-dimensional generalized yield criterion accounting for the cross-anisotropic undrained strength of clay is proposed and requires four input shear strengths in triaxial compression and extension, direct simple shear, and pressuremeter tests. The proposed formulation is verified through the predictions of various compressions of anisotropic soil blocks while the importance of undrained strength anisotropy is demonstrated by analyses of undrained bearing capacity of strip, circular and square footings on anisotropic clays.
引用
收藏
页码:327 / 344
页数:18
相关论文
共 94 条
[1]  
Al-Shamrani MA, 2005, SOILS FOUND, V45, P109
[2]   On implementing a primal-dual interior-point method for conic quadratic optimization [J].
Andersen, ED ;
Roos, C ;
Terlaky, T .
MATHEMATICAL PROGRAMMING, 2003, 95 (02) :249-277
[3]  
[Anonymous], 1960, J. Appl. Math. Phys
[4]  
[Anonymous], THESIS
[5]  
Arthur JRF, 1988, 977 ASTM STP
[6]   FINITE-ELEMENT METHOD AND LIMIT ANALYSIS THEORY FOR SOIL MECHANICS PROBLEMS [J].
BOTTERO, A ;
NEGRE, R ;
PASTOR, J ;
TURGEMAN, S .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1980, 22 (01) :131-149
[7]  
Casagrande A, 1941, CONTRIB SOIL MECH BS, V1944, P122
[8]   Use of von Mises yield criterion for solving axisymmetric stability problems [J].
Chakraborty, Debarghya ;
Kumar, Jyant .
GEOMECHANICS AND GEOENGINEERING-AN INTERNATIONAL JOURNAL, 2015, 10 (03) :234-241
[9]   Lower-Bound Axisymmetric Formulation for Geomechanics Problems Using Nonlinear Optimization [J].
Chakraborty, Manash ;
Kumar, Jyant .
INTERNATIONAL JOURNAL OF GEOMECHANICS, 2015, 15 (05)
[10]  
Chen W.-F., 1975, LIMIT ANAL SOIL PLAS