Three-dimensional limit analysis of seismic displacement of slope reinforced with piles

He, Yi; Hazarika, Hemanta; Yasufuku, Noriyuki; Han, Zheng; Li, Yange

doi:10.1016/j.soildyn.2015.06.015

Cited by 45 publications

(15 citation statements)

References 24 publications

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“…According to previous investigations (Li et al [14]; He et al [15]), the effect of the failure mechanism on the shaking mode can be neglected. The influences of the horizontal earthquakes acting on the collapse mass are evaluated by horizontal forces applied to the center of soil mass, which can be calculated as follows:…”

Section: Three-block Failure Mechanismmentioning

confidence: 99%

“…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%

“…Therefore, different real earthquake acceleration records were selected to evaluate the cumulative displacements of slopes. Following He et al [15], three typical earthquake records were adopted. Figure 14(a) shows the Imperial Valley-06 earthquake records, with a peak earthquake acceleration (PGA) of 0.307 g and a record duration of 14.76 s. Figure 14 duration of 21.07 s. The constant time intervals of the Imperial Valley-06 and Kobe earthquake records are 0.01 s, whereas the constant time interval of the Parkfield-02 earthquake record is 0.005 s. These earthquake records were used to assess the performance of the slopes with varying slope angles subjected to seismic loads.…”

Section: Cumulative Displacementsmentioning

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 3 more Smart Citations

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

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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.

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Section: Three-block Failure Mechanismmentioning

confidence: 99%

Section: Three-block Failure Mechanismmentioning

confidence: 99%

Section: Cumulative Displacementsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

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show abstract

“…This approach has the advantage of providing information during an earthquake and being less time consuming; it has been further extended to the rotational mechanism (e.g., Chang et al [7]; Li et al [8]) and multiblock mechanism (e.g., Michalowski [9]) of slope through limit analysis. Moreover, this approach has been employed for the seismic displacements of reinforced slopes by other researchers (e.g., Ling et al [4]; Ling and Leshchinsky [10]; Michalowski and You [11]; He et al [12]).…”

Section: Introductionmentioning

confidence: 99%

Displacement of Pile-Reinforced Slopes with a Weak Layer Subjected to Seismic Loads

Zhou¹,

Zheng²,

Yang³

et al. 2016

Mathematical Problems in Engineering

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The presence of a weak layer in a slope requires special attention because it has a negative impact on slope stability. However, limited insight into the seismic stability of slopes with a weak layer exists. In this study, the seismic stability of a pile-reinforced slope with a weak thin layer is investigated. Based on the limit analysis theory, a translational failure mechanism for an earth slope is developed. The rotational rigid blocks in the previous rotational-translational failure mechanism are replaced by continuous deformation regions, which consist of a sequence ofnrigid triangles. The predicted static factor of safety and collapse mechanism in two typical examples of slopes with a weak layer compare well with the results obtained from the available literature and by using the Discontinuity Layout Optimization (DLO) technique. The lateral forces provided by the stabilizing piles are evaluated using the theory of plastic deformation. An analytical solution for estimating the critical yield acceleration coefficient for the pile-reinforced slopes is derived. Based on the proposed translational failure mechanism and the corresponding critical yield acceleration coefficient, Newmark’s analytical procedure is employed to evaluate the cumulative displacement. Considering different real earthquake acceleration records as input motion, the effect of stabilizing piles and varying the spacing of piles on the cumulative displacement of slopes with a weak layer is investigated.

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Evaluation of Hybrid Pile Supported System for Protecting Road Embankment Under Seismic Loading

Qin

Hazarika

Pasha

et al. 2021

Lecture Notes in Civil Engineering

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Three-dimensional limit analysis of seismic displacement of slope reinforced with piles

Cited by 45 publications

References 24 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 of Pile-Reinforced Slopes with a Weak Layer Subjected to Seismic Loads

Evaluation of Hybrid Pile Supported System for Protecting Road Embankment Under Seismic Loading

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