The effective failure modes and stability of slopes in rock mass with two discontinuity sets

Aydan, Ömer; Shimizu, Yasuhiro; Ichikawa, Yasuaki

doi:10.1007/bf01470985

Cited by 67 publications

(3 citation statements)

References 6 publications

(1 reference statement)

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“…Yeung [15] and Yeung and Goodman [16] document a comprehensive suite of analyses performed to identify how well DDA was able to distinguish four different behaviours of a block on an incline for a number of combinations of block aspect angle, slope incline angle and interface friction angle. Depending on the relative values of these angles, the static [17,18] and dynamic [19,20] limit equilibrium solutions predict either sliding, toppling, combined sliding and toppling, or stability. Yeung demonstrated that the DDA static solution matched the dynamic limit equilibrium solution with high precision, for 130 different cases, although he did observe 'numerical creep' due to repeated shear spring compression and made corresponding adjustments to the results to remove it.…”

Section: Initiation Of Failure: Sliding and Topplingmentioning

confidence: 99%

Review of validation of the discontinuous deformation analysis (DDA) method

MacLaughlin

Doolin

2006

Int. J. Numer. Anal. Meth. Geomech.

144

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SUMMARYOver the last decade, researchers in the discontinuous deformation analysis (DDA) community have dedicated a great deal of effort to document the accuracy of the method by performing validation studies. This paper contains a summary of more than 100 published and unpublished validation studies which comprise the body of DDA validation information to which the authors have access. The studies are grouped into three general categories: (a) validation with respect to analytical solutions, (b) validation with respect to results of other numerical techniques, and (c) validation with respect to laboratory and field data. Three general techniques for validation are described: qualitative assessment visually examining runtime behaviour of simulations, semi-quantitative assessment comparing numerical results of simulations, and quantitative where numerical simulation results are evaluated in detail with respect to similar analytical, laboratory or field results. We find that for many of the problems addressed by the papers in this review, DDA performs more than adequately for engineering analysis.

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Section: Initiation Of Failure: Sliding and Topplingmentioning

confidence: 99%

Review of validation of the discontinuous deformation analysis (DDA) method

MacLaughlin

Doolin

2006

Int. J. Numer. Anal. Meth. Geomech.

144

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“…In [5], the authors divided the toppling failures into three groups, i.e., block toppling, flexural toppling and block-flexural toppling (block-flexural toppling can be treated as a recombined form of the above two types). Numerous significant results had been found for block toppling, and relatively complete theoretical analysis methods were developed [6][7][8][9][10][11][12], while researchers continued to be preoccupied with flexural toppling [13][14][15][16][17][18][19][20][21][22]. e limit equilibrium method is one of the most common and effective approaches in studies of flexural toppling failure.…”

Section: Introductionmentioning

confidence: 99%

An Optimization of the Analytical Method for Determining the Flexural Toppling Failure Plane

Diao

2020

Advances in Civil Engineering

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According to the results of the physical model tests, the failure plane of an anaclinal layered rock slope was a linear-type plane at an angle above the plane normal to the discontinuities, and the failure mode of rock strata was bending tension. However, the shear failure occurred near the slope toe, the effects of the cohesion of the discontinuities on the stability of the slope, and the contribution of tangential force to cross-section axial force were neglected in such studies. Moreover, none of the experts had developed a rigorously theoretical method for determining the angle between the failure plane and the plane normal to the discontinuities. is paper was initiated for the purpose of solving the problems described above. With the cantilever beam model and a step-by-step analytical method, an optimization of the analytical method for determining the flexural toppling failure plane based on the limit equilibrium theory was developed and the corresponding formulations were derived. Based on the present computational framework, comparisons with other studies were carried out by taking a slate slope in South Anhui in China and a rock slope facing the Tehran-Chalus Road near the Amir-Kabir Dam Lake in Iran. Furthermore, the sensitivity analyses of the parameters used in the calculation process of the failure angle of the slate slope in South Anhui in China were performed. e results demonstrated that the failure plane and the safety factor of the stability obtained with the presented method were credible, which verified the proposed method. e dip angle of the slope, the dip angle of the rock stratum, and the friction angle of the discontinuities were the controlling factors for the overall failure of the slate slope in South Anhui in China.

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“…If there is no movement at the toe region, the rock slope is described as stable. This analytical model ignores various external forces which have since been studied by researchers (Zanbak 1983;Aydan et al 1989;Cruden 1989;Wyllie 1999;Amini and Majdi 2011).…”

Section: Introductionmentioning

confidence: 99%

Analytical technique for stability analyses of rock slopes subjected to block toppling failure

2018

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In the traditional analytical models for evaluating block toppling failure mechanisms of the slope, a single weak plane angle is assumed, running from upper rock columns and daylighting on the slope face. However, for some physical rock slopes, the weak plane bounding the potential toppling blocks may be dipping at two diverse angles within the rock masses and may not daylight on the predictable point on the face of the slope due to varying characteristics of the weak plane. The mathematical technique for estimating the counter-tilted angle of the weak plane has been proposed and incorporated into the modified analytical technique for evaluating slope stability subjected to block toppling failure. The physical slope with pre-existing weak plane dipping at two diverse angles within the rock slope subjected to block toppling was analysed using the modified analytical technique and results were validated using the discrete element method. The obtained simulated failure mode zones are consistent with those obtained by the modified analytical technique. The influence of the relative counter-tilted angles of the weak plane on slopes stability was studied and the results show that, progressive increase in the counter-tilted angles of the weak plane lead to gradual increase in slope instability.

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The effective failure modes and stability of slopes in rock mass with two discontinuity sets

Cited by 67 publications

References 6 publications

Review of validation of the discontinuous deformation analysis (DDA) method

Review of validation of the discontinuous deformation analysis (DDA) method

An Optimization of the Analytical Method for Determining the Flexural Toppling Failure Plane

Analytical technique for stability analyses of rock slopes subjected to block toppling failure

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