Prediction of elastic settlement of rectangular raft foundation — a coupled FE-BE approach

Mandal, Jagat Jyoti; Ghosh, D. P.

doi:10.1002/(sici)1096-9853(199903)23:3<263::aid-nag965>3.0.co;2-t

Cited by 16 publications

(3 citation statements)

References 16 publications

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“…where e U z s ð Þ and e P s ð Þ are the total vertical displacement vector and nodal traction vector assembled by e P According to Mandal and Ghosh [28], the key problem for BEM/FEM coupling is establishing the relationship between the nodal traction vector in the BE equation and equivalent nodal force vector in an FE equation by a transformation matrix that can be based on the shape functions. Herein, a transformation matrix similar to the matrix proposed in Wang et al [25] is employed to associate Eqn (21) with Eqn (24) in the Laplace-transformed domain.…”

Section: Formulation Of the Interaction Between Plate And Soilmentioning

confidence: 99%

“…However, the 'serendipity' plate element of eight nodes is still applied in this paper because it is well known by most finite element users. By extending the FEM/BEM coupling method similar to Wang et al [25] and Mandal and Ghosh [28], the time-settlement solution for the plate-soil interface is obtained. At last, numerical examples are given to demonstrate the accuracy of this method and study the influence of soil-plate properties on the interaction.…”

Section: Introductionmentioning

confidence: 99%

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A quasistatic analysis of a plate on consolidating layered soils by analytical layer‐element/finite element method coupling

Cheng

Cao

2014

Num Anal Meth Geomechanics

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In this paper, a coupling method between finite element and analytical layer-elements is utilized to analyze the time-dependent behavior of a plate of any shape and finite rigidity resting on layered saturated soils. Based on the integral transform techniques together with the aid of an order reduction method, an analytical layer-element solution is derived from the governing equations for three-dimensional Biot consolidation with respect to a Cartesian coordinate system and then extended to be the fundamental solution for the layered saturated soil under a point load. The Mindlin plate is modeled by eight-noded isoparametric elements. The governing equations of the interaction between soil and plate in the Laplace-Fourier transformed domain are deduced by referring to the coupling theory of FEM/BEM, and the final solution is obtained by applying numerical inversion. Numerical examples concerned with the time-dependent response of a plate are performed to demonstrate the influence of soil and plate properties on the interaction process.

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Section: Formulation Of the Interaction Between Plate And Soilmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A quasistatic analysis of a plate on consolidating layered soils by analytical layer‐element/finite element method coupling

Cheng

Cao

2014

Num Anal Meth Geomechanics

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“…Boundary element techniques have also been used to compute the soil deflection and also to look at rafts buried at depth [15]. Their approach is to model the raft by finite element methods and find the deflection of the soil by boundary element techniques.…”

Section: Boundary Element Techniquesmentioning

confidence: 99%

Practical solutions to soil–structure interaction problems

Small

2001

Progress Structural Eng Maths

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Interaction of a structure and its foundation with the soil is discussed in this paper, and some of the numerical and analytical methods that have been developed for the analysis of raft and piled raft foundations are presented. It is shown that the use of simple spring models for the soil behaviour can lead to erroneous result and it is recommended that their use should be discontinued. Simple finite layer techniques are also examined, and results are compared with those of three-dimensional finite element techniques. It is shown that the finite layer techniques can yield good results for displacements in the raft and for moments induced into the piles. It is also shown that the use of thin plate theory for the raft can give good results for thick rafts and can be used for raft and piled raft analysis. The effect of including the stiffness of the superstructure in the analysis of the foundation is examined, and it is shown that the type of structure and its stiffness can have an effect on the deformation of the foundation. Finally, an analysis of an instrumented structure is carried out, and it is shown that reasonably good predictions of the behaviour of the foundation can be made through the use of soil-structure interaction theory and finite layer techniques.

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Influence of scour on the vertical response of rock‐socketed piles in layered saturated rock–soil mass

Chen

Guo

et al. 2022

Num Anal Meth Geomechanics

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The influence of scour on the vertical response of rock‐socketed piles in a layered saturated rock–soil mass is studied through the finite element‐boundary element coupling method. By utilizing the theoretical solution of layered saturated media as the kernel function, the boundary element method (BEM) is used to deduce the boundary integral equations of rock–soil mass. Meanwhile, the pile is modelled with the three‐node bar element and the global stiffness matrix of the pile is assembled by the finite element method (FEM). Then according to the scour type, the flexibility matrix of the foundation is recombined and extended, which is consistent with the stiffness matrix dimension of the pile. In consideration of the force balance and continuity conditions at the pile‐soil‐rock interface, the FEM–BEM coupling equation is established to solve the interaction between layered rock–soil mass and rock‐socketed pile that considers different scour types. A corresponding MATLAB program is compiled to verify the correctness of the present theory by comparisons with the existing literature solutions, field tests and the finite element solutions. The influences of the scour type, scour depth, socketed length as well as pile‐rock mass modulus ratio and rock mass stratification on the vertical response of a rock‐socketed single pile are further discussed through several numerical examples.

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Prediction of elastic settlement of rectangular raft foundation — a coupled FE-BE approach

Cited by 16 publications

References 16 publications

A quasistatic analysis of a plate on consolidating layered soils by analytical layer‐element/finite element method coupling

A quasistatic analysis of a plate on consolidating layered soils by analytical layer‐element/finite element method coupling

Practical solutions to soil–structure interaction problems

Influence of scour on the vertical response of rock‐socketed piles in layered saturated rock–soil mass

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