Slope stability analyses for materials with a non‐linear failure envelope

Collins, Ian; Gunn, Cathy; Pender, Michael; Wang, Yan

doi:10.1002/nag.1610120507

Cited by 105 publications

(47 citation statements)

References 19 publications

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“…Several authors have suggested yield functions that take the ϕ-dependency of stress level into account, for example: De Mello [16], Charles and Watts [17], Collins et al [18], Simonini [19], Baker [20], and Baker and Awidat [21]. In the present study, it has been found appropriate to use an expression of the form:…”

Section: The Nonlinear Failure Envelopementioning

confidence: 94%

The Bearing Capacity of Circular Footings in Sand: Comparison between Model Tests and Numerical Simulations Based on a Nonlinear Mohr Failure Envelope

Krabbenhøft

Clausen

Damkilde

2012

Advances in Civil Engineering

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This paper presents the results of a series of triaxial tests with dry sand at confining pressures varying from 1.5 kPa to 100 kPa at relative densities of 0.20, 0.59, and 0.84. The results, which are in reasonable accordance with an equation given by Bolton, show that the friction angle is strongly dependent on the stress level and on the basis of the test results, a nonlinear Mohr failure criterion has been proposed. This yield criterion has been implemented in a finite element program and an analysis of the bearing capacity of a circular shaped model foundation, diameter 100 mm, has been conducted. Comparisons have been made with results from 1g model scale tests with a foundation of similar size and a good agreement between numerical results and test results has been found.

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Section: The Nonlinear Failure Envelopementioning

confidence: 94%

The Bearing Capacity of Circular Footings in Sand: Comparison between Model Tests and Numerical Simulations Based on a Nonlinear Mohr Failure Envelope

Krabbenhøft

Clausen

Damkilde

2012

Advances in Civil Engineering

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“…To solve this problem, Zhang and Chen [15] proposed a numerical method, which they called the inverse method. Other researchers have proposed methods based on a technique called the tangential technique [18]. Collins et al [18] generalized the work of Chen [1] on the stability of slopes which material's resistance is governed by a linear failure criterion to the case of nonlinear materials.…”

Section: Introductionmentioning

confidence: 99%

“…Other researchers have proposed methods based on a technique called the tangential technique [18]. Collins et al [18] generalized the work of Chen [1] on the stability of slopes which material's resistance is governed by a linear failure criterion to the case of nonlinear materials. Instead of using Hoek-Brown's original criterion to evaluate the stability factor, they used a tangent Mohr-Coulomb criterion, characterized by a friction angle ϕ t and cohesion c t , and proposed the following expression of the stability factor:…”

Section: Introductionmentioning

confidence: 99%

“…At the same period, Drescher and Christopoulos [19] proposed a similar technique for the general nonlinear criterion proposed by Zhang and Chen [15]. Yang et al [20,21] extended the work of Collins et al [18] to the case of materials obeying the Hoek-Brown criterion and proposed the "generalized tangential technique". In their work, the stability factor is calculated from the critical height obtained using the upper bound limit analysis N  = γ. H  (s . .…”

Section: Introductionmentioning

confidence: 99%

“…σ  ) ⁄ . Unlike Collins et al [18], Yang et al [20,21] do not use the linear stability factor previously calculated by Chen [1].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Seismic stability analysis of rock slopes by yield design theory using the generalized Hoek-Brown criterion

Belghali

Saada

2018

MATEC Web Conf.

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Abstract. The stability of rock slope is studied using the kinematic approach of yield design theory, under the condition of plane strain and by considering the last version of the Hoek-Brown failure criterion. This criterion, which is suitable to intact rock or rock mass highly fractured regarded as isotropic and homogeneous, is widely accepted by the rock mechanics community and has been applied in numerous projects around the world. The failure mechanism used to implement the kinematic approach is a log-spiral rotational mechanism. The stability analysis is carried out under the effects of gravity forces and a surcharge applied along the upper plateau of the slope. To take account of the effects of forces developed in the rock mass during the passage of a seismic wave, the conventional pseudo-static method is adopted. This method is often used in slope stability study for its simplicity and efficiency to simulate the seismic forces. The results found are compared with published numerical solutions obtained from other approaches. The comparison showed that the results are almost equal. The maximum error found is less than 1%, indicating that this approach is effective for analyzing the stability of rock slopes. The relevance of the approach demonstrated, investigations are undertaken to study the influence of some parameters on the stability of the slope. These parameters relate to the mechanical strength of the rock, slope geometry and loading.

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Pseudo‐static analysis of tunnel face stability using the generalized Hoek–Brown strength criterion

Saada

Maghous

Garnier

2013

Num Anal Meth Geomechanics

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International audienceThe stability of a tunnel face driven by a pressurized shield is investigated in the light of a limit analysis kinematic approach formulated in the context of the modified Hoek-Brown strength criterion. The analysis focuses on evaluating the destabilizing effects induced by seismic loading. The pseudo-static approach is adopted to account for the effects of inertial forces developed in the rock mass by the passage of seismic waves. Taking advantage of the ability to compute analytically, the expressions of the support functions for the modified Hoek-Brown strength criterion, rigorous limit analysis solutions can be derived semi-analytically for the tunnel face stability. Particular emphasis is given to the description of the Horn failure mechanism and associated lower bound estimates of the limit face supporting pressure. The approach is then applied to investigate the influence of some relevant strength and loading parameters in the tunnel face stability. © 2013 John Wiley and Sons, Ltd

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Slope stability analyses for materials with a non‐linear failure envelope

Cited by 105 publications

References 19 publications

The Bearing Capacity of Circular Footings in Sand: Comparison between Model Tests and Numerical Simulations Based on a Nonlinear Mohr Failure Envelope

The Bearing Capacity of Circular Footings in Sand: Comparison between Model Tests and Numerical Simulations Based on a Nonlinear Mohr Failure Envelope

Seismic stability analysis of rock slopes by yield design theory using the generalized Hoek-Brown criterion

Pseudo‐static analysis of tunnel face stability using the generalized Hoek–Brown strength criterion

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