Efficient Beam–Column Finite-Element Method for Stability Design of Slender Single Pile in Soft Ground Mediums

Wan, Jian‐Hong; Zhou, Cuiying; Liu, Zhen; Yang, Xu Dong

doi:10.1061/(asce)gm.1943-5622.0001542

Cited by 17 publications

(26 citation statements)

References 24 publications

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“…where, [ k ] is the global stiffness matrix; N is the total number of the elements; and, [ ψ ] i is the transformation matrix and can be found in Liu et al (2020).…”

Section: Line Finite-element Methodsmentioning

confidence: 99%

“…Aiming to practical applications, this research adopts the efficient Line-Finite-Element (LFEM) analysis method (Timoshenko and Gere, 2009), and further develops for the analysis of driven steel H-piles considering the SSI relationships, that is the post-driving residual stresses, p-y and t-z relationships. The first attempt of using the LFEM for solving the pile analysis problems has been accomplished by Liu et al (2020), who refine the element formulations for the stability design of laterally loaded pile by directly modelling the soil springs along the element length. Later, Li et al (2020b) further developed the LFEM method for analyzing piles, also named the method as the pile element analysis method, simulating both the p-y and t-z relationships.…”

Section: Introductionmentioning

confidence: 99%

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Line-finite-element implementation for driven steel H-piles in layered sands considering post-driving residual stresses

Ouyang

Wan

Liu

et al. 2020

Advances in Structural Engineering

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Driven Steel H-piles are commonly used in the deep foundation of being cost-effective and easy in workmanship. The post-driving residual stresses acting on the pile could be large when being driven in cohesionless sands, significantly affecting its compressive strength. Current design methods, mostly based on the empirical assumptions of using safety factors, are unable to consider the post-driving residual stresses on piles accurately and usually very conservative in practical applications. Such consideration is further complicated when the pile is embedded in layered sands. Moreover, the soil-structure interaction (SSI) between pile and ground medium is usually complicated in the analysis and should be appropriately considered in a successful design. This paper proposes a line-finite-element implementation method, based on the Euler-Bernoulli pile element formulations, for robustly and efficiently analyzing the driven steel H-piles in layered sands with explicitly modelling the SSI. The effects resulting from the post-driving residual stresses are considered in the total potential energy equation for generating the secant relations. The derivation procedure is elaborated with details. Consequentially, verification examples are given for validating the accuracy of the proposed method. This work would be helpful for improving the numerical efficiency and accuracy for designing the steel H-piles in layered sands.

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“…where, [ k ] is the global stiffness matrix; N is the total number of the elements; and, [ ψ ] i is the transformation matrix and can be found in Liu et al (2020).…”

Section: Line Finite-element Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Line-finite-element implementation for driven steel H-piles in layered sands considering post-driving residual stresses

Ouyang

Wan

Liu

et al. 2020

Advances in Structural Engineering

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“…Under this circumstance, the unbalanced forces are used as the applied external loads to act on the structural system until the convergence criterion is satisfied. This Newton‐Raphson incremental‐iterative procedure has been successfully used in various types of nonlinear problems 26–30 . The element formulations and the nonlinear analysis method for pile element have been implemented within CloudSAP 31…”

Section: Numerical Implementation Of Pile Elementsmentioning

confidence: 99%

Numerical formulation and implementation of Euler‐Bernoulli pile elements considering soil‐structure‐interaction responses

Wan

Liu

et al. 2020

Num Anal Meth Geomechanics

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Summary Pile serves as an essential component for transferring loads from superstructures to the soil ground. Proper consideration of soil‐structure interaction (SSI) responses is crucial in evaluating the pile capacity and deflections under external loads. In the current design practices, semi‐empirical or linear‐elastic analyses are utilized, which are often overly conservative and unable to properly consider the nonlinear SSI responses. Thus, this paper presents a new Euler‐Bernoulli pile element for robustly and efficiently simulating the piles considering the SSI responses. The nonlinear springs distributed continuously along with the pile are directly integrated into the element formulations. A quasi‐analytical solution based on the Gauss‐Legendre method is utilized in the summation processes of the total potential energy to significantly simplify the mathematical expressions and ease difficulties in programming. The element tangent stiffness matrix and secant relations are respectively formulated for predicting the displacement and eliminating the accumulative errors in a Newton‐Raphson incremental‐iterative numerical procedure. Because a pile might exhibit large deflections in soft soils, the kinematic motion description using the Updated Lagrangian (UL) approach is developed where the equilibrium conditions are determined by referring to the last configurations. Finally, several examples are provided to validate the accuracy and efficiency of the proposed method.

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“…Also the displacements and unbalanced forces are selected as the converge criterion in this paper to obtain an accurate result. Meanwhile, UL method and Newton-Raphson incremental-iterative procedure have been widely adopted in structural analysis and their robustness have been proven [24,[31][32][33].…”

Section: Newton-raphson Typed Numercial Procedures For Pile Elementmentioning

confidence: 99%

“…To overcome these limitations in numerical and practical design methods, recently, Liu et al [24] proposed a new line element based on Euler-Bernoulli beam-column theory, named pile element, as shown in Fig. 3 (c).…”

Section: Introductionmentioning

confidence: 99%

Second-Order Analysis of Steel Sheet Piles by Pile Element Considering Nonlinear Soil-Structure Interactions

Ouyang¹,

Yang

Wan³

et al. 2020

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Efficient Beam–Column Finite-Element Method for Stability Design of Slender Single Pile in Soft Ground Mediums

Cited by 17 publications

References 24 publications

Line-finite-element implementation for driven steel H-piles in layered sands considering post-driving residual stresses

Line-finite-element implementation for driven steel H-piles in layered sands considering post-driving residual stresses

Numerical formulation and implementation of Euler‐Bernoulli pile elements considering soil‐structure‐interaction responses

Second-Order Analysis of Steel Sheet Piles by Pile Element Considering Nonlinear Soil-Structure Interactions

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