Upper bound analysis of ultimate pullout capacity of shallow 3-D circular plate anchors based on nonlinear Mohr-Coulomb failure criterion

Zhao, Lianheng; Tan, Yigao; Hu, Shihong; Deng, Dean; Yang, Xiaohan

doi:10.1007/s11771-018-3912-7

Cited by 13 publications

(7 citation statements)

References 37 publications

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“…where N pu-cir and N pu-str are the dimensionless breakout factors of the circular and strip anchor plates, respectively, and r is the radius of the circular anchor plate and half the width of the strip anchor plate. From the above Equations ( 36) and (37), under the linear failure criterion, the breakout factors of the circular and strip anchor plates obtained by the proposed method are also consistent with the results presented by Murray et al 2…”

Section: Variation Transversality Conditionsupporting

confidence: 87%

“…In view of this, Zhao et al 35 determined the ultimate pullout capacity of a shallow horizontal circular anchor plate based on the Hoek-Brown failure criterion through the variational method, and analyzed the effects of the rock nonlinear property, anchor embedment depth, and rock strength parameters on the uplift capacity. Based on the upper-bound limit analysis theory and nonlinear Mohr-Coulomb failure criterion, Zhao et al 36,37 analyzed the effect of the nonlinear property on the uplift capacity through the sequential quadratic programming method and obtained shape modification factors of circular and rectangular anchor plates through multiple nonlinear regression analysis. However, the nonlinear shear strength indexes, c t and φ t , were introduced using the generalized tangential method, which unifies the strength index into a single strength index and the plastic strain increment was fixed; hence, the correlation between the normal stress and the strength index was ignored, and it was not an actual nonlinear failure criterion.…”

Section: Introductionmentioning

confidence: 99%

“…determined the ultimate pullout capacity of a shallow horizontal circular anchor plate based on the Hoek–Brown failure criterion through the variational method, and analyzed the effects of the rock nonlinear property, anchor embedment depth, and rock strength parameters on the uplift capacity. Based on the upper‐bound limit analysis theory and nonlinear Mohr–Coulomb failure criterion, Zhao et al 36,37 . analyzed the effect of the nonlinear property on the uplift capacity through the sequential quadratic programming method and obtained shape modification factors of circular and rectangular anchor plates through multiple nonlinear regression analysis.…”

Section: Introductionmentioning

confidence: 99%

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Three‐dimensional upper‐bound limit analysis of ultimate pullout capacity of anchor plates using variation method

Zhao

Tan

et al. 2022

Num Anal Meth Geomechanics

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The uplift bearing capacity of anchor plates has been the focus of geotechnical engineering research. In this study, based on the upper-bound limit analysis theory and considering the nonlinear characteristics of geomaterials, the three-dimensional uplift behavior of a shallow horizontal anchor plate was analyzed. Based on the variational principle, virtual power principle, and equilibrium equation, the ultimate pullout forces of rectangular and circular anchor plates were derived, and the dimensionless breakout factor and failure mechanism of the overlying soil were obtained. The ultimate pullout forces were in good agreement with the existing research results, and the principal stresses along the rupture surface agreed well with that obtained by numerical analysis, which could demonstrate the effectiveness and accuracy of the proposed method. Moreover, the effects of the nonlinear coefficient, anchor size and aspect, embedment ratio, and surface overload on the breakout factor were investigated. Meanwhile, the shape modification factors of rectangular and circular anchor plates were obtained. The findings of this study can provide a useful reference for anchor plate design.

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Section: Variation Transversality Conditionsupporting

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Three‐dimensional upper‐bound limit analysis of ultimate pullout capacity of anchor plates using variation method

Zhao

Tan

et al. 2022

Num Anal Meth Geomechanics

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“…Marcon et al (2017) performed tests on bonded anchors with various configurations along with a complete concrete characterization at the same concrete age. Zhao et al (2018) determined the three-dimensional axisymmetric failure mechanism of shallow horizontal circular plate anchors that are subjected to the ultimate pullout capacity, based on the nonlinear Mohr-Coulomb failure criterion and the associated flow patterns. Sakai and Tanaka (2007) evaluated the behavior and scale effect of shallow circular anchors in two-layered sand by comparing the results of a conventional model test with the results of finite-element analysis.…”

Section: Introductionmentioning

confidence: 99%

Influence of Grout’s Poisson Effect on Interfacial Shear Stress for Compression Anchor in Rock Mass

Liu²,

Zhang

et al. 2021

Geotech Geol Eng

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The distribution and magnitude of the shear stress at the interface between the grout of a compression anchor rod and rock are strongly affected by the Poisson effect. To quantitatively analyze the influence of the Poisson effect on the interfacial shear stress of compression anchor rods, the equations for calculating the axial force and interfacial shear stress at the grout cross section in the anchorage section are derived in this paper, accounting for the Poisson effect of the grout. Based on the analytical solution, a new equation of the influence coefficient of the Poisson effect is proposed to quantitatively evaluate the influence of the Poisson effect on the interfacial shear stress. Distributions of the interfacial shear stress and the influence coefficient of the Poisson effect are analyzed with different parameter values. There is a neutral point in the anchorage section near the bearing plate, at which the magnitude of the shear stress is not affected by the Poisson effect. When the Poisson effect is considered, the interfacial shear stress from the neutral point to the bearing plate increases, and the distribution curve becomes steep.However, the interfacial shear stress far from the neutral point is low, and the distribution curve becomes smooth. Overall, the Poisson effect leads to a more nonuniform distribution of the shear stress at the interface of the compression anchor rod. A larger Poisson's ratio, smaller elastic modulus, and smaller diameter of the grout lead to a greater influence of the Poisson effect. Furthermore, a larger elastic modulus of rock leads to a greater influence of the Poisson effect. The Poisson's ratio of rock and that of grout both affect the Poisson effect greatly, but the influence of the variation in the Poisson's ratio of rock on the Poisson effect is negligible. A larger interface friction angle leads to a greater influence of the Poisson effect.

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“…Marcon et al (2017) performed tests on bonded anchors with various configurations along with a complete concrete characterization at the same concrete age. Zhao et al (2018) determined the three-dimensional 2014) described a program of field testing and numerical modeling of the pullout resistance of granular anchor installations in over-consolidated clay for an undrained condition. Merifield (2011) used numerical modeling techniques to analyze multiplate circular anchor foundation behavior in clay soil, and studied the undrained uplift behavior of helical anchors in clays using the centrifuge model test and a "large-deformation, finite-element" approach (Wang et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

Influence of Poisson Effect of Compression Anchor Grout on Interfacial Shear Stress

bingxiong¹,

Chao²,

Lihua³

et al. 2021

Preprint

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The distribution and magnitude of the shear stress at the interface between the grout of a compression anchor rod and rock are strongly affected by the Poisson effect. To quantitatively analyze the influence of the Poisson effect on the interfacial shear stress of compression anchor rods, the equations for calculating the axial force and interfacial shear stress at the grout cross section in the anchorage section are derived in this paper, accounting for the Poisson effect of the grout. Based on the analytical solution, a new equation of the influence coefficient of the Poisson effect is proposed to quantitatively evaluate the influence of the Poisson effect on the interfacial shear stress. Distributions of the interfacial shear stress and the influence coefficient of the Poisson effect are analyzed with different parameter values. There is a neutral point in the anchorage section near the bearing plate, at which the magnitude of the shear stress is not affected by the Poisson effect. When the Poisson effect is considered, the interfacial shear stress from the neutral point to the bearing plate increases, and the distribution curve becomes steep. However, the interfacial shear stress far from the neutral point is low, and the distribution curve becomes smooth. Overall, the Poisson effect leads to a more nonuniform distribution of the shear stress at the interface of the compression anchor rod. A larger Poisson's ratio, smaller elastic modulus, and smaller diameter of the grout lead to a greater influence of the Poisson effect. Furthermore, a larger elastic modulus of rock leads to a greater influence of the Poisson effect. The Poisson's ratio of rock and that of grout both affect the Poisson effect greatly, but the influence of the variation in the Poisson’s ratio of rock on the Poisson effect is negligible. A larger interface friction angle leads to a greater influence of the Poisson effect.

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Upper bound analysis of ultimate pullout capacity of shallow 3-D circular plate anchors based on nonlinear Mohr-Coulomb failure criterion

Cited by 13 publications

References 37 publications

Three‐dimensional upper‐bound limit analysis of ultimate pullout capacity of anchor plates using variation method

Three‐dimensional upper‐bound limit analysis of ultimate pullout capacity of anchor plates using variation method

Influence of Grout’s Poisson Effect on Interfacial Shear Stress for Compression Anchor in Rock Mass

Influence of Poisson Effect of Compression Anchor Grout on Interfacial Shear Stress

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