Seismic Stability of a Fissured Slope Based on Nonlinear Failure Criterion

2019 ◽  
Vol 37 (4) ◽  
pp. 3487-3496 ◽  
Author(s):  
Zhaohui Pang ◽  
Danping Gu
Keyword(s):  
Failure Criterion ◽  
Seismic Stability ◽  
Nonlinear Failure Criterion

Simplex reflection analysis of laboratory strength data

1992 ◽  
Vol 29 (2) ◽  
pp. 278-287 ◽  
Author(s):  
Sandip Shah ◽  
Evert Hoek
Keyword(s):  
Linear Regression ◽  
Failure Criterion ◽  
Linear Regression Analysis ◽  
Jointed Rock ◽  
Reflection Method ◽  
Nonlinear Failure Criterion ◽  
Strength Data ◽  
Failure Envelopes ◽  
Nonlinear Criterion ◽  
Linear And Nonlinear

Linear regression and simplex reflection techniques for fitting laboratory strength data for rocks and soils to linear and nonlinear failure envelopes are presented. The simplex reflection technique is applied to the Hoek-Brown nonlinear failure criterion which is widely used for estimating the strength of jointed rock masses. A comparison between the simplex reflection technique and linear regression analysis, for assessing the parameters associated with the Hoek-Brown criterion, is discussed. The strengths and limitations of the two techniques are compared, and it is established that the simplex technique is superior for fitting the data to any nonlinear criterion. The implementation of the simplex reflection method is presented together with an algorithm in the form of a pseudocode for use on computers. Key words : linear regression, simplex reflection, failure criterion, stress, residuals.

A generalized nonlinear failure criterion for frictional materials

2017 ◽  
Vol 12 (6) ◽  
pp. 1353-1371 ◽  
Author(s):  
Shunchuan Wu ◽  
Shihuai Zhang ◽  
Chao Guo ◽  
Liangfeng Xiong
Keyword(s):  
Failure Criterion ◽  
Nonlinear Failure Criterion ◽  
Frictional Materials

scholarly journals Upper-bound limit analysis of soils with a nonlinear failure criterion

2020 ◽  
Vol 57 (3) ◽  
pp. 423-432 ◽  
Author(s):  
R. Zhang ◽  
C.C. Smith
Keyword(s):  
Upper Bound ◽  
Limit Analysis ◽  
Failure Criterion ◽  
Retaining Wall ◽  
Analytical Techniques ◽  
Failure Surface ◽  
Yield Function ◽  
Flow Rule ◽  
Nonlinear Failure Criterion ◽  
Bound Solution

Limit analysis is a widely used technique for the analysis of geotechnical collapse states and there exists a significant body of literature covering its application to soils with a linear failure criterion. However, such a failure criterion is often an idealization of an actual nonlinear response for which available analytical techniques are limited. This paper presents a new fully general solution procedure for generating multi-wedge rigid-block upper-bound mechanisms for a soil with a nonlinear failure criterion, utilizing a curved interface that obeys the nonlinear yield function flow rule along its full length. This work extends the long-established kinematic sliding-wedge approach for linear soils and is illustrated through application to active and passive retaining wall and anchor–trapdoor problems. Through additional consideration of the lower-bound solution, close bounds on the retaining wall problem to within ∼1% are established. The ability of the nonlinear upper bound solution to predict the shear and normal stress at every point along the failure surface is discussed.

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