Seismic Displacements in Slopes by Limit Analysis

Chang, Cheng‐Jung; Chen, Wai F.; Yao, James T. P.

doi:10.1061/(asce)0733-9410(1984)110:7(860)

Cited by 107 publications

(38 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Newmark's sliding block technique, which was used in a previous study in investigating the performance of slopes under the rotational failure mechanism in both two-and three-dimensional problems (e.g., Chang et al [11], Li et al [14], and He et al [15]), was employed for estimating the cumulative displacement of slopes. The sliding block begins to accelerate with acceleration values ,̈, and̈; thus, balancing the work rate equation yields…”

Section: Three-block Failure Mechanismmentioning

confidence: 99%

“…Compared with the pseudostatic approach, which underestimates the seismic stability (Ling et al [9]; Michalowski [10]), Newmark's sliding technique helps to accurately evaluate the stability of slopes and can precisely determine effective reinforcements. Therefore, this method has recently been widely employed to slopes with a single layer of homogeneous soil, with and without reinforcements (Chang et al [11]; Ling et al [9]; Ling and Leshchinsky [12]; Michalowski and You [13]; Li et al [14]; He et al [15]). …”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Upper-Bound Multi-Rigid-Block Solutions for Seismic Performance of Slopes with a Weak Thin Layer

Zheng

Yang

Zhou

et al. 2017

Mathematical Problems in Engineering

View full text Add to dashboard Cite

The presence of a weak layer has an adverse influence on the seismic performance of slopes. The upper-bound solution serves as a rigorous method in the stability analysis of geotechnical problems. In this study, a multi-rigid-block solution based on the category of the upper-bound theorem of limit analysis is presented to examine the seismic performance of nonhomogeneous slopes with a weak thin layer. Comparison of the static factors of safety is conducted with various solutions (i.e., limit analysis with a different failure mechanism, limit equilibrium solution, and numerical method), and the results exhibit reasonable consistency. An analytical solution in estimating the critical yield acceleration coefficient is derived, and the influence of slope angle, slope height, and soil strength on the critical yield acceleration coefficient and failure mechanism is analyzed. Subsequently, Newmark's analytical procedure is employed to evaluate cumulative displacement with various real earthquake acceleration records as input motion. Results show that the strength and geometric parameters have a remarkable influence on the critical yield acceleration coefficient, and the cumulative displacement increases with the increasing slope angle.

show abstract

Section: Three-block Failure Mechanismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Upper-Bound Multi-Rigid-Block Solutions for Seismic Performance of Slopes with a Weak Thin Layer

Zheng

Yang

Zhou

et al. 2017

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…During failure the soil mass ABC rotates about center O. Such a mechanism is kinematically admissible from the standpoint of plasticity, and it was considered by Chen et al [5], and later by Chang et al [2] in the context of seismic loads. The inclination of the slope is described by angle , the soil is characterized by its internal friction angle 9 and cohesion c, and the geometry of the failure surface is determined by angles 0 and h .…”

Section: Displacement Mechanismmentioning

confidence: 99%

“…(6), for both translational and rotational mechanisms, were developed by Chang et al [2]. The motion of the block starts when the seismic acceleration ®rst exceeds the yield (critical) acceleration, and the velocity of the block increases for as long as the ground acceleration exceeds the critical acceleration of the structure.…”

Section: Displacement Mechanismmentioning

confidence: 99%

“…For slopes, however, the most adverse failure pattern known is the one where the soil mass rotates as one rigid body, separated from the stationary soil by a failure surface. An extension of the classical sliding rigid block analysis to rotational collapse was suggested in [2]. Calculation results of permanent displacements of slopes will be produced here for dierent earthquake records.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Displacement charts for slopes subjected to seismic loads

You¹,

Michałowski²

1999

Computers and Geotechnics

View full text Add to dashboard Cite

Earthquake events in recent years have brought about renewed interest in analyses of slopes subjected to seismic loads. These loads have been accounted for traditionally by using quasistatic loads. Such analyses do not provide any information about permanent displacements, and they neglect the history of seismic shaking. The analysis presented in this note is based on the rigid block displacement technique. A rotational mechanism of slope failure, caused by horizontal shaking, is considered. Yield accelerations are calculated for uniform slopes, and irreversible displacements are calculated for dierent earthquake records. The displacements can be represented as the product of a coecient characteristic of a given collapse mechanism and a double time integral of an earthquake acceleration record. Charts are produced to make the application of the results eortless. #

show abstract

Limit analysis of the stability of slopes reinforced with anchors

2011

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

SUMMARYAn approach based on the category of upper bound theorem of limit analysis is proposed in this article to consider the reinforcing effect of one row of anchors on slope stabilization. The shear strength reduction technique is used in the determination of the safety factor of the slope. The effect of anchor reinforcement is assumed to be an external axial force applied on the slope, and in the formulas of kinematic limit analysis, the work rate done by the anchor can be calculated. So, the stability analysis can be conducted without any assumptions on the acting position and decomposition of the axial force of anchors. Results were compared with those obtained using both the limit equilibrium method and numerical method. A parametric study was carried out to illustrate the effect of anchor orientation and position on slope stabilization.

show abstract

Seismic Displacements in Slopes by Limit Analysis

Cited by 107 publications

References 13 publications

Upper-Bound Multi-Rigid-Block Solutions for Seismic Performance of Slopes with a Weak Thin Layer

Upper-Bound Multi-Rigid-Block Solutions for Seismic Performance of Slopes with a Weak Thin Layer

Displacement charts for slopes subjected to seismic loads

Limit analysis of the stability of slopes reinforced with anchors

Contact Info

Product

Resources

About