Modified pseudo–dynamic bearing capacity of strip footing on rock masses

Liu, Jing; Xu, Sheng; Yang, Xiaoli

doi:10.1016/j.compgeo.2022.104897

Cited by 15 publications

(3 citation statements)

References 38 publications

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“…Moreover, the local maxima of the present results coincide with the PS and CPD results. These characteristics have been proven to be correct by many scholars [5,34], thus ensuring the validity of the seismic load assessment in this study.…”

Section: Comparisonsmentioning

confidence: 56%

“…According to the difference in the way of characterizing the amplitude of seismic waves, the pseudo-dynamic method can be subdivided into the conventional pseudodynamic (CPD) method, the spectral pseudo-dynamic (SPD) method, and the modified pseudo-dynamic (MPD) method. These seismic load description methods are often combined with the limit-equilibrium method [1][2][3], upper bound method of limit analysis [4][5][6][7][8] and stress characteristics [9,10] to solve the seismic bearing capacity assessment.…”

Section: Introductionmentioning

confidence: 99%

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Seismic Bearing Capacity Solution for Strip Footings in Unsaturated Soils with Modified Pseudo-Dynamic Approach

Zhou

2023

Mathematics

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In engineering mathematics, the unsaturated nature of soil has a significant impact on the seismic bearing capacity solution. However, it has generally been neglected in the published literature to date. Based on the kinematic approach of limit analysis, the present study proposes a method for calculating the bearing capacity of shallow strip footings located in unsaturated soils, taking four common types of soils as examples. The modified pseudo-dynamic (MPD) approach is used to calculate the seismic forces varying with time and space, and the layerwise summation method is used to derive the power generated by the seismic forces. In the calculation of internal energy dissipation, this paper introduces the effective stress based on the suction stress to derive the cohesion expression at different depths. The analytical formula of bearing capacity is obtained by the principle of virtual work, and its value is optimized by the Sequential Quadratic Programming (SQP) algorithm. In order to verify the validity of the proposed method, the present results are compared with the solutions published so far and a good agreement is obtained. Finally, a parametric study is performed to investigate the influence of different types of parameters on the bearing capacity.

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Section: Comparisonsmentioning

confidence: 56%

Section: Introductionmentioning

confidence: 99%

Seismic Bearing Capacity Solution for Strip Footings in Unsaturated Soils with Modified Pseudo-Dynamic Approach

Zhou

2023

Mathematics

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“…As reinforcement techniques have been widely used to enhance the bearing capacity of foundations on soft soils, the derivation of the bearing capacity solution for reinforced soil foundations has become a popular research topic in engineering mathematics. Existing studies on the above topic are based on dry soils or rocks [1][2][3][4][5]. However, many foundations are constructed on unsaturated soils in actual engineering [6,7].…”

Section: Introductionmentioning

confidence: 99%

Analytical Solution for Bearing Capacity of Reinforced Strip Footings on Unsaturated Soils under Steady Flow

Kang,

Zhou

2023

Mathematics

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The study of analytical solutions for the bearing capacity of reinforced soil foundations is a very important topic in engineering mathematics. Existing evaluations of the foundation-bearing capacity on reinforced soils are based on dry conditions, while many foundations are located on unsaturated soils in real engineering. In this paper, a new formula for the bearing capacity of reinforced strip footings on unsaturated soils is presented. Two sliding failure mechanisms are constructed based on the position of the reinforcement layer relative to the sliding surface. The distribution of apparent cohesion in the depth direction is calculated by considering the effect of matrix suction. By additionally considering the work conducted by the reinforcement and the contribution of the apparent cohesion, the bearing capacity formula is obtained using the upper bound theorem of limit analysis. The bearing capacity solution is obtained by adopting the sequential quadratic programming (SQP) algorithm. Comparing the results under two failure mechanisms, the optimal bearing capacity and the optimal embedment depth of reinforcement are obtained. The results of this paper are consistent with those of the existing literature. Finally, the effects of reinforcement embedment depth, effective internal friction angle, uniform load, and unsaturated soil parameters on the optimal bearing capacity are investigated through parametric analysis. This paper provides useful recommendations for the engineering application of reinforced strip footings on unsaturated soils.

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