The effect of the intermediate principal stress on the ultimate bearing capacity of a foundation on rock masses

Zhou, Xiaoping; Yang, Haiqing; Zhang, Yongxing; Yu, Mao-Hong

doi:10.1016/j.compgeo.2009.01.009

Cited by 18 publications

(3 citation statements)

References 22 publications

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“…In this analysis, the modified HB failure criterion was used to compute the ultimate bearing capacity. By using the original and modified HB failure criteria, Zhou et al applied the slip line method to calculate the bearing capacity of strip footings placed on rock mass . Clausen used the standard displacement‐based elastoplastic finite element approach to compute the ultimate bearing capacity of circular footings laid on rock mass .…”

Section: Introductionmentioning

confidence: 99%

Bearing capacity of foundations on rock mass using the method of characteristics

Keshavarz

Kumar

2017

Num Anal Meth Geomechanics

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Summary The method of stress characteristics has been used for computing the ultimate bearing capacity of strip and circular footings placed on rock mass. The modified Hoek‐and‐Brown failure criterion has been used. Both smooth and rough footing‐rock interfaces have been modeled. The bearing capacity has been expressed in terms of nondimensional factors Nσ0 and Nσ, corresponding to rock mass with (1) γ = 0 and (2) γ ≠ 0, respectively. The numerical results have been presented as a function of different input parameters needed to define the Hoek‐and‐Brown criterion. Slip line patterns and the pressure distribution along the footing base have also been examined. The results are found to compare generally well with the reported solutions.

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Section: Introductionmentioning

confidence: 99%

Bearing capacity of foundations on rock mass using the method of characteristics

Keshavarz

Kumar

2017

Num Anal Meth Geomechanics

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“…Since many simplifications and assumptions have been made, many shortcomings have emerged during the applications of the Terzaghi method. Many developments have been proposed to overcome these shortcomings, such as the use of the wedge limiting equilibrium theory, 2–6 rigid-block mechanisms, 7–10 and slip-line and numerical simulations. 11–15 All the developments have been satisfactorily applied in stability assessment of practical foundation engineering.…”

Section: Introductionmentioning

confidence: 99%

Influence of the unified strength theory parameters on the failure characteristics and bearing capacity of sand foundation acted by a shallow strip footing

Deng

Fan

et al. 2020

Advances in Mechanical Engineering

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The unified strength theory can account for the influence of intermediate principal stress using a specified parameter b, with which the determination of the values and influences of b is significant. In this research, a physical model test was carried out in combination with the numerical simulations to explore the effect of b on a sand foundation loaded by a shallow strip footing. Variation of parameter b would produce significant effect on the deformation characteristics, stress response, failure model, as well as bearing capacity of the sand foundation. In general, a larger b could be adopted to yield smaller magnitudes of stress. The calculated ultimate bearing capacity Pult increases linearly with increase in b, and an increment of 470% can be obtained using b = 1.0 relative to b = 0.0. The comparison of the bearing capacities of physical model test and numerical simulation suggests that b = 0.89–0.99 is the appropriate value for the experimental sand foundation, that ultimately results in a capacity increase in 420%–465% relative to the result of Mohr–Coulomb failure law.

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“…Particularly, the stress and displacement of surrounding rock under three different axial stress states were discussed in his paper. The effects of axial stress and in situ stress on stress, displacement, and strain of surrounding rock were studied by Lu et al [12] and Zhou et al [13]. Moreover, these approaches can be supplemented and verified mutually.…”

Section: Introductionmentioning

confidence: 99%

Solution of Strain-Softening Surrounding Rock in Deep Tunnel Incorporating 3D Hoek-Brown Failure Criterion and Flow Rule

Zou

Zuo

Yuan

2016

Mathematical Problems in Engineering

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In order to investigate the influence of the intermediate principal stress on the stress and displacement of surrounding rock, a novel approach based on 3D Hoek-Brown (H-B) failure criterion was proposed. Taking the strain-softening characteristic of rock mass into account, the potential plastic zone is subdivided into a finite number of concentric annulus and a numerical procedure for calculating the stress and displacement of each annulus was presented. Strains were obtained based on the nonassociated and associated flow rule and 3D plastic potential function. Stresses were achieved by the stress equilibrium equation and generalized Hoek-Brown failure criterion. Using the proposed approach, we can get the solutions of the stress and displacement of the surrounding rock considering the intermediate principal stress. Moreover, the proposed approach was validated with the published results. Compared with the results based on generalized Hoek-Brown failure criterion, it is shown that the plastic radius calculated by 3D Hoek-Brown failure criterion is smaller than those solved by generalized H-B failure criterion, and the influences of dilatancy effect on the results based on the generalized H-B failure criterion are greater than those based on 3D H-B failure criterion. The displacements considering the nonassociated flow rule are smaller than those considering associated flow rules.

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The effect of the intermediate principal stress on the ultimate bearing capacity of a foundation on rock masses

Cited by 18 publications

References 22 publications

Bearing capacity of foundations on rock mass using the method of characteristics

Bearing capacity of foundations on rock mass using the method of characteristics

Influence of the unified strength theory parameters on the failure characteristics and bearing capacity of sand foundation acted by a shallow strip footing

Solution of Strain-Softening Surrounding Rock in Deep Tunnel Incorporating 3D Hoek-Brown Failure Criterion and Flow Rule

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