Upper bound solution for the bearing capacity of rock masses considering the embedment depth

Shamloo, Saeed; Imani, Meysam

doi:10.1016/j.oceaneng.2020.108169

Cited by 10 publications

(2 citation statements)

References 14 publications

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“…It has been shown that the ultimate bearing capacities obtained from the 2D-analyses are higher than in the 3D-analyses. Shamloo and Imani [14] demonstrated that the effect of embedment depths on the bearing capacity of footings in rock masses cannot be taken into account correctly with the aid of equivalent surface loads. Using a self-developed adaptive finite element limit analysis code, Wu et al [15] studied the ultimate bearing capacity of footings subjected to eccentric loads in rock masses with voids.…”

Section: Introductionmentioning

confidence: 99%

A comparative study on the estimation of ultimate bearing capacity of rock masses using finite element and limit equilibrium methods

Koltuk

2024

Journal of Scientific Reports-A

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Most rock masses are excellent foundation materials due to their bearing capacities of MPa. However, the ultimate bearing capacity of rock masses should be accurately estimated in the design of structures with high foundation loads. In this study, the ultimate bearing capacities of a strip footing built on rock masses with different geotechnical properties are determined using the finite element method (FEM) and the failure criterion of Hoek & Brown. The results of FE-analyses are compared to those obtained from the limit equilibrium methods (LEM) in the literature. It has been shown that the FEM with associated flow rule and Terzaghi`s limit equilibrium method give similar failure surfaces for most cases, and the ratio of ultimate bearing capacities determined according to the Terzaghi´s method to FEM varies between 1.5 and 4. In cases, in which the failure surfaces obtained from both methods differ, this ratio can rise up to 11.

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Section: Introductionmentioning

confidence: 99%

A comparative study on the estimation of ultimate bearing capacity of rock masses using finite element and limit equilibrium methods

Koltuk

2024

Journal of Scientific Reports-A

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“…In the field of geotechnical engineering, calculating the ultimate bearing capacity of foundations has always been a great concern (Terzaghi and Peck 1967;Davis and Booker 1974;Chen 1975;Griffiths 1982;Michalowski and Lei 1996), with significant implications for underground space and engineering safety. Upper-bound limit analysis based on plastic mechanics is a powerful approach for calculating the ultimate bearing capacity of foundations (Lyamin and Sloan 2002;Huang and Qin 2009;Osman 2019;Shamloo and Imani 2020). It is primarily composed of the limit analysis finite element and the limit analysis approach based on discretization of a rigid block in terms of various discretization approaches used in the calculation model.…”

Section: Introductionmentioning

confidence: 99%

Calculation Method for Optimizing the Bearing Capacity of Two-Layer Clay Foundation Based on Upper-Bound Limit Analysis

Lin¹,

Zhang²,

Wang

et al. 2022

Front. Earth Sci.

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In this study, a foundation bearing capacity limit analysis upper-bound solution (FLU) was proposed under the theoretical framework of limit analysis. To be more specific, an optimized mathematical model based on a rigid block discrete system was first established, with the minimum bearing capacity as the objective function, block velocity as the main variable, and the satisfaction of velocity compatibility, associated flow rule, and functional equilibrium equations of adjacent blocks as main constraints. Then, using an optimization approach, the upper-bound value of the foundation’s bearing capacity was obtained. On this basis, the principle of establishing the value interval of the most dangerous slip depth of the two-layer clay foundation was developed by investigating the effects of varying depths on the bearing capacity of the two-layer clay foundation. Meanwhile, an approach for calculating the bearing capacity of the two-layer clay foundation was proposed to achieve the goal of reaching the foundation’s minimum bearing capacity. Furthermore, using a mathematical example, the proposed approach was proven to be rational.

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Finite element and empirical solutions for estimating bearing capacity and settlement of a jointed, multi-layered dam rock foundation

Koca

Koca²

2022

J Earth Syst Sci

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Upper bound solution for the bearing capacity of rock masses considering the embedment depth

Cited by 10 publications

References 14 publications

A comparative study on the estimation of ultimate bearing capacity of rock masses using finite element and limit equilibrium methods

A comparative study on the estimation of ultimate bearing capacity of rock masses using finite element and limit equilibrium methods

Calculation Method for Optimizing the Bearing Capacity of Two-Layer Clay Foundation Based on Upper-Bound Limit Analysis

Finite element and empirical solutions for estimating bearing capacity and settlement of a jointed, multi-layered dam rock foundation

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