BEM analysis of laterally loaded pile groups in multi-layered transversely isotropic soils

Ai, Zhi Yong; Feng, Dong Liang

doi:10.1016/j.enganabound.2014.02.002

Cited by 21 publications

(5 citation statements)

References 16 publications

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“…It is more difficult to obtain the dynamic impedance of pile groups than that of a single pile, as this requires the pile-to-pile interactions to be considered in addition to the pile−soil interactions. [8][9][10][11] Various numerical methods have been adopted to analyze the dynamic impedance of pile groups (e.g., the finite element method [FEM], [12][13][14][15][16] boundary element method [BEM], [17][18][19][20][21][22][23] and BEM−FEM coupling method [24][25][26][27][28][29][30] ). Although these methods can provide rigorous solutions for the dynamic response of pile groups, they have major limitations, such as high computational cost and low computational efficiency.…”

Section: Introductionmentioning

confidence: 99%

Vertical dynamic impedance of end‐bearing pile groups embedded in homogeneous unsaturated soils

Shan

et al. 2022

Num Anal Meth Geomechanics

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Although soil is typically an unsaturated (three‐phase) medium, previous studies on the dynamic impedance of pile groups primarily considered the piles embedded in either the single‐phase or fully saturated (two‐phase) soils. In this work, the dynamic impedance of end‐bearing pile groups embedded in homogeneous unsaturated soil subject to a vertical time‐harmonic load is analytically obtained. The soil is modeled as a three‐dimensional axisymmetric continuum, and both the radial and vertical displacements as well as the influence of the saturation degree on the soil's dynamic shear modulus are considered. The governing equations of vibrating unsaturated soil are uncoupled by virtue of the potential function and operator decomposition methods. The attenuation function of soil displacement, surrounding soil resistance factor, and vertical dynamic impedance of a single pile are derived from the pile−soil compatibility conditions. Pile‐to‐pile dynamic interaction factors are then derived and used, along with the superposition principle, to find the vertical dynamic impedance of end‐bearing pile groups in the frequency domain. The proposed analytical solution is verified by comparison with two benchmark solutions. Finally, the influence of various parameters on the dynamic response of end‐bearing pile groups is determined.

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Section: Introductionmentioning

confidence: 99%

Vertical dynamic impedance of end‐bearing pile groups embedded in homogeneous unsaturated soils

Shan

et al. 2022

Num Anal Meth Geomechanics

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“…Wang et al [9] developed a thermoelastic analysis of pavement plates on an elastic Winkler foundation, based on the Kirchhoff hypothesis and a Vlasov-type of structural analysis. Secondly, with regard to the transversely isotropic foundation model, Ai and Feng [10] analysed laterally loaded fixed-head pile groups using BEM (Boundary Element Method), based on an analytical layer-element solution of multilayered transversely isotropic soils. With the inverse Hankel integration transform, the solution of stress and displacement for transversely isotropic foundation under several common loads was obtained [11].…”

Section: Introductionmentioning

confidence: 99%

Bending Analysis of Circular Thin Plates Resting on Elastic Foundations Using Two Modified Vlasov Models

Yue

Wang

Jia

et al. 2020

Mathematical Problems in Engineering

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The influence of soil heterogeneity is studied on the bending of circular thin plates using two modified Vlasov foundation models. The model parameters are determined reasonably using an iterative technique. According to the principle of minimum potential energy and considering transversely isotropic soils and Gibson soils, the governing differential equations and boundary conditions for circular thin plates on two modified Vlasov foundations are derived using a variational approach, respectively. The determination of attenuation parameters is a difficult problem, which has hindered the further application of the Vlasov foundation model. The equation that must be satisfied by the attenuation parameter is determined, and an iterative method is used to solve the problem. A comparative analysis is conducted between two modified Vlasov models and the traditional Vlasov model. The results show that the governing equations and boundary conditions for circular thin plates resting on two modified foundations are consistent with those for a circular thin plate on traditional two-parameter foundation after degradation. The accuracy and reliability of the proposed solutions are demonstrated by comparing the obtained results with those reported in the literature. The heterogeneity of soils, including the transversely isotropic soils and Gibson soils, has a certain effect on characteristic parameters of the foundation models as well as the deformations and internal forces of circular thin plates. The present study could be employed as a reference for future engineering designs.

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“…It might include numerous runs and pre-/post-processing for large pile groups, especially with a non-uniform pile distribution (different pile spacings). The boundary element method (BEM) has been also used substantially to model piles and pile groups (Ai and Feng 2014;Ai and Li 2015;Ai et al 2016;Banerjee and Driscoll 1976;Mamoon et al 1990;Padron et al 2007;Sen et al 1985;Xu and Poulos 2000). Some recent significant contributions in the application of BEM have been introduced by Ai and Feng (2014), Ai and Li (2015), and Ai et al (2016).…”

Section: Introductionmentioning

confidence: 99%

“…The boundary element method (BEM) has been also used substantially to model piles and pile groups (Ai and Feng 2014;Ai and Li 2015;Ai et al 2016;Banerjee and Driscoll 1976;Mamoon et al 1990;Padron et al 2007;Sen et al 1985;Xu and Poulos 2000). Some recent significant contributions in the application of BEM have been introduced by Ai and Feng (2014), Ai and Li (2015), and Ai et al (2016). The researchers analyzed laterally loaded pile groups placed in transversely isotropic soils by applying the boundary element method considering pile-soil-pile interaction, and also presented a framework of FEM-BEM coupling for pile group analysis under dynamic loads.…”

Section: Introductionmentioning

confidence: 99%

Modeling of pile-soil-pile interaction in laterally loaded pile groups embedded in linear elastic soil layers

Isbuga

2020

Arab J Geosci

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This study proposes a new method to obtain the lateral response of pile groups by incorporating the pile group effect in layered soils. When a pile is loaded laterally, it creates a zone of influence in the direction of loading. In a pile group, each pile placed in the influence zone of prior piles is exposed to extra loads due to the load transfers from other piles. This mechanism results in a group effect which causes each pile in the group to have a different deflection curve compared to that of an identical isolated single pile under the same load. This study starts with a mathematical approach to model the interaction of two piles and then extends it to pile groups. The governing differential equation of a pile deflection problem is modified to take the pile-soil-pile interaction into account and solved analytically for each pile while the soil parameters and displacement fields around each pile are obtained numerically using the finite difference method written in Fortran language. The model captures the additional pile deflections induced by the group effects in pile groups and the results match well with the results of the existing methods, especially the finite element method.

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BEM analysis of laterally loaded pile groups in multi-layered transversely isotropic soils

Cited by 21 publications

References 16 publications

Vertical dynamic impedance of end‐bearing pile groups embedded in homogeneous unsaturated soils

Vertical dynamic impedance of end‐bearing pile groups embedded in homogeneous unsaturated soils

Bending Analysis of Circular Thin Plates Resting on Elastic Foundations Using Two Modified Vlasov Models

Modeling of pile-soil-pile interaction in laterally loaded pile groups embedded in linear elastic soil layers

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