A continuum-based model for analysis of laterally loaded piles in layered soils

Basu, Dipanjan; Salgado, Rodrigo; Prezzi, Mônica

doi:10.1680/geot.2007.00011

Cited by 77 publications

(31 citation statements)

References 30 publications

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“…The Euler-Lagrange differential equations, Eq. (19) and Eq. (20), for the decay functions are two coupled, linear, second-order, partial differential equations that must be solved simultaneously.…”

Section: Decay Functions F (X Y) and G(x Y)mentioning

confidence: 99%

“…By linking the soil displacement directly to the pile deflection and describing the soilpile system using energy principles, analytical or semi-analytical energy-based methods have been developed and improved through the years; the applicability of these methods has been progressively extended from piles in uniform soil ( [13,14]) to piles in layered soil profiles ( [15][16][17][18]) and from single piles ( [19]) to pile groups ( [20]). These analytical or semianalytical solutions have proven to be reliable and computationally efficient, but all treated the soil as an elastic material, making it difficult to use them in practice without considerable judgment.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear analyses of laterally loaded piles – A semi-analytical approach

Han

Salgado

Prezzi

2015

Computers and Geotechnics

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This paper describes a semi-analytical, continuum mechanics-based method of calculating the nonlinear response of pile foundations subjected to lateral loads. The displacement field in the soil is obtained as the product of a pile deflection function and displacement decay functions. Based on the incremental form of the virtual work, a system of coupled differential equations for the pile deflection and decay functions is derived and then solved by using the finite difference method, producing pile deflections, shear forces and bending moments as well as displacements within the soil domain. The soil is modeled as an elasto-plastic material. The analysis is computationally efficient and produces results that are in good agreement with those from 3D finite element modeling with the same constitutive model for the soil. The method models laterally loaded pile response more realistically than the traditional p-y method at a comparable computational cost. The method is substantially more efficient than 3D finite element simulations. The proposed method offers a good alternative to the p-y method in contexts in which fast calculation of lateral pile response is required, such as in the design of piles for offshore wind farms.

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Section: Decay Functions F (X Y) and G(x Y)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear analyses of laterally loaded piles – A semi-analytical approach

Han

Salgado

Prezzi

2015

Computers and Geotechnics

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“…The pile deflection is determined by solving a four-order differential equation by using the method of initial parameter [9][10][11] (MIP). Recently, a continuum-based approach is developed [6,[12][13][14] based on the energy principles and variational approach initially proposed by Sun [15]. In this approach, the soil displacement is approximated by a product of the pile displacement and a dimensionless function representing the variation of the soil displacement in the radial direction.…”

Section: Introductionmentioning

confidence: 99%

A hybrid analytical-numerical solution for a circular pile under lateral load in multilayered soil

Hien

2020

STCE

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A hybrid analytical-numerical solution is proposed to solve the problem of a laterally loaded pile with a circular cross-section in multilayered soils. In the pile-soil model, the lateral load is located at the pile head including both lateral force and bending moment. The single pile is considered as a beam on elastic foundation while shear beams model the soil column below the pile toe. The differential equations governing pile deflections are derived based on the energy principles and variational approaches. The differential equations are solved iteratively by using the finite element method that provides results of pile deflection, rotation angle, shear force, and bending moment along the pile and equivalent stiffness of the pile-soil system. The modulus reduction equation is also developed to match the proposed results well to the three-dimensional finite element analyses. Several examples are conducted to validate the proposed method by comparing the analysis results with those of existing analytical solutions, the three-dimensional finite element solutions. Keywords: beam on elastic foundation; finite element method; pile; energy principle; lateral load.

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“…These structures are exposed to considerable amount of lateral load due to environmental actions, which is ultimately transferred to the pile foundations. The analysis of laterally loaded pile embedded in the level ground has received considerable attention over the past several decades (Reese and Matlock 1956, Matlock and Reese 1960, Davisson and Gill 1963, Matlock 1970, Poulos 1971, Reese and Welch 1975, Randolph 1981, Norris 1986, Budhu and Davies 1988, Prakash and Kumar 1996, Ashour et al 1998, Fan and Long 2005, Basu et al 2009, Zhang 2009, Dewaikar et al 2011.…”

Section: Introductionmentioning

confidence: 99%

Finite element analysis for laterally loaded piles in sloping ground

Sawant¹,

Shukla²

2012

Coupled Systems Mechanics

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Abstract. The available analytical methods of analysis for laterally loaded piles in level ground cannot be directly applied to such piles in sloping ground. With the commercially available software, the simulation of the appropriate field condition is a challenging task, and the results are subjective. Therefore, it becomes essential to understand the process of development of a user-framed numerical formulation, which may be used easily as per the specific site conditions without depending on other indirect methods of analysis as well as on the software. In the present study, a detailed three-dimensional finite element formulation is presented for the analysis of laterally loaded piles in sloping ground developing the 18 node triangular prism elements. An application of the numerical formulation has been illustrated for the pile located at the crest of the slope and for the pile located at some edge distance from the crest. The specific examples show that at any given depth, the displacement and bending moment increase with an increase in slope of the ground, whereas they decrease with increasing edge distance.

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A continuum-based model for analysis of laterally loaded piles in layered soils

Cited by 77 publications

References 30 publications

Nonlinear analyses of laterally loaded piles – A semi-analytical approach

Nonlinear analyses of laterally loaded piles – A semi-analytical approach

A hybrid analytical-numerical solution for a circular pile under lateral load in multilayered soil

Finite element analysis for laterally loaded piles in sloping ground

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