Variational analysis of the ultimate pullout capacity of shallow circular anchor plates in rock foundations based on the Hoek-Brown failure criterion

Zhao, Lianheng; Yang, Xiaohan; Huang, Fu; Tang, Yi-Gao; Hu, Shihong

doi:10.1016/j.ijrmms.2018.04.027

Cited by 15 publications

(5 citation statements)

References 29 publications

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“…In all the presented analyses, the considered failure mechanisms subsequent are defined by piecewise translational motions without any (virtual) deformation zone, thus involving only velocity jumps along specific discontinuity surfaces. Actually, the assumption of a purely uniform vertical velocity field reveals reasonable for shallow plate anchors commonly encountered in offshore engineering practice, being supported by experimental and numerical studies conducted by other authors 8,10–12,25,28,29 …”

Section: Application To Uplift Bearing Capacitymentioning

confidence: 66%

“…Actually, the assumption of a purely uniform vertical velocity field reveals reasonable for shallow plate anchors commonly encountered in offshore engineering practice, being supported by experimental and numerical studies conducted by other authors. 8,[10][11][12]25,28,29 F I G U R E 2 Translational failure mechanism considered for circular anchors: (A) axisymmetric plane representation and (B) three-dimensional representation.…”

Section: Application To Uplift Bearing Capacitymentioning

confidence: 99%

“…Among different approaches, limit analysis techniques have been widely used in various structural problems, offering valuable insights into the failure load of mechanical systems, including foundations, beams, plates, and earth slopes. [18][19][20][21][22][23][24][25][26] On that account, the present study focuses on evaluating the uplift resistance of shallowly embedded three-dimensional plate anchors using the theoretical framework of limit analysis and its related kinematic approach with due consideration of pore pressure and suction effects, therefore allowing for rigorous upper bound estimates for the bearing capacity of these foundation systems based on the adoption of appropriate classes of failure mechanisms. In that respect, it is worth emphasizing that at present scarce data are available for the uplift bearing capacity of shallow plate anchors in marine environments, and most of existing models do not include the suction effects in the prediction of the uplift force.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A limit analysis approach to uplift bearing capacity of shallow plate anchors in marine environments

Forcelini,

Maghous,

Schnaid

2023

Num Anal Meth Geomechanics

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Offshore oil and gas exploration activities involve the installation of various subsea infrastructures on the ocean floor, often supported by shallow foundations such as anchor plates or mudmats. These foundations must be designed to withstand applied service loads along the structure lifecycle, including decommissioning loads required for subsequent removal. In this context, this work is dedicated to the evaluation of uplift bearing capacity of shallow anchors within the theoretical framework of limit analysis and its related kinematic approach. Based on the implementation of 3D failure mechanisms, rigorous upper bound estimates for the uplift force viewed as ultimate load for the material system are derived from either total or effective stress analyses. In that respect, emphasis is given to the formulation of limit analysis problem in the context of effective stresses, showing how the effect of seepage flow may be accounted for by means of driving body forces derived from the gradient of excess pore pressure distribution and how suction forces arise from pore pressure difference between upper and lower anchor surfaces. Evaluation of suction forces developed during anchor lifting is addressed by resorting to a simplified modeling applied to circular and rectangular anchors. The accuracy of the upper bound predictions derived for uplift force is assessed by comparison with available experimental data. Several numerical results are also provided to investigate the effects of relevant problem parameters on the uplift bearing capacity.

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Section: Application To Uplift Bearing Capacitymentioning

confidence: 66%

Section: Application To Uplift Bearing Capacitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A limit analysis approach to uplift bearing capacity of shallow plate anchors in marine environments

Forcelini,

Maghous,

Schnaid

2023

Num Anal Meth Geomechanics

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“…The above studies enriched the uplift behavior researches, and most studies were based on frictional or clayey materials. However, the general soil has both internal friction angle and cohesion, and a large number of researches [30][31][32][33][34] have shown that geomaterials exhibit strong nonlinear characteristics which has a significant effect on the structural stability and bearing capacity. In the above studies, the soil inherent nonlinear characteristics were neglected, leading to a slight deviation in the anchor plate design.…”

Section: Introductionmentioning

confidence: 99%

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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“…Some other researchers have summarized the methods of determining the residual strength of rocks. The residual strength values of rocks under different confining pressure conditions are determined through triaxial compression tests of rocks, and then the residual strength parameters of rocks are fitted by the M-C model or the H-B model [22]. The determination of residual strength plays an important role in rationally evaluating the stability of geotechnical engineering and effectively exerting the bearing capacity of rocks [23].…”

Section: Introductionmentioning

confidence: 99%

Research on residual strength characteristics of high water materials based on improved H-B criterion

Zheng

Zhou

et al. 2021

PLoS ONE

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To develop a new gangue polymer filling material with low compressive ratio, this paper intends to add high water cementing material to the gangue for backfilling. Uniaxial and tri-axial bearing experiments were conducted to study its bearing characteristics and residual strength. Based on Hock-Brown model theory, it is proposed that friction angle φr can be introduced to substitute model parameter mi, and the degree of cohesion loss can characterize the value of s. So the improved H-B model is established to characterize the residual strength of materials with ductile failure characteristics. The results show that the compressive strength of high water filling material increases linearly corresponding to the rise of confining pressure, and its strength characteristics conform to Mohr-Coulomb strength criterion. The ductile failure characteristics of the sample endow it with high residual strength, which in turn qualifies it for underground filling. After the introduction of cohesion and friction angle, the improved H-B criterion can fit the residual strength curve of the high water filling material more competently. The fitting coefficient of the samples with three water contents is 1.00, 0.99, and 1.00, respectively. The improved H-B model of residual strength demonstrates the change rule of residual strength of the samples corresponding to the change of confining pressure; under tri-axial loading, the angle between fracture surface and axial direction becomes larger as the confining pressure rises; and the failure mode of the material transforms from splitting failure to shear failure.

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Variational analysis of the ultimate pullout capacity of shallow circular anchor plates in rock foundations based on the Hoek-Brown failure criterion

Cited by 15 publications

References 29 publications

A limit analysis approach to uplift bearing capacity of shallow plate anchors in marine environments

A limit analysis approach to uplift bearing capacity of shallow plate anchors in marine environments

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

Research on residual strength characteristics of high water materials based on improved H-B criterion

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