Implementation of the Critical Unstable Condition in Extended Finite-Element Analysis to Calculate the Safety Factor of a Predefined Slip Surface

被引：1

作者：

Shi, Lu ^{[1
]}

Bai, Bing ^{[1
]}

Li, Xiaochun ^{[1
]}

机构：

[1] Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Hubei, Peoples R China

来源：

INTERNATIONAL JOURNAL OF GEOMECHANICS | 2019年 / 19卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Slope stability; Safety factor; Critical unstable condition; Extended finite-element analysis; Augmented Lagrange multiplier method; Vital vertex method; SLOPE STABILITY ANALYSIS; MULTIPLE CRACK-GROWTH; LIMIT EQUILIBRIUM; COMPUTATION; ALGORITHM;

D O I：

10.1061/(ASCE)GM.1943-5622.0001356

中图分类号：

P5 [地质学];

学科分类号：

0709 ; 081803 ;

摘要：

This study incorporated the critical unstable condition into extended finite-element analysis to determine the safety factor of a slip surface that is regarded as a discontinuity embedded into the slope mesh. The displacement field and the safety factor can be obtained simultaneously by directly solving the final nonlinear equations. Moreover, the augmented Lagrange multiplier method and the vital vertex algorithm were used to improve the accuracy of the normal stress on the slip surface. Three examples were presented to demonstrate various aspects of the proposed method, including its efficiency in searching for the critical slip surface without remeshing and sensitivity to the finite-element mesh.

引用

页数：14