Master's Dissertation
DOI
10.11606/D.18.2017.tde-11122017-114407
Document
Author
Full name
Rubens Fernandes de Matos Filho
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1999
Supervisor
Committee
Paiva, João Batista de (President)
Aoki, Nelson
Coda, Humberto Breves
Title in Portuguese
Análise da interação estaca-solo via combinação do Método dos Elementos Finitos com o Método dos Elementos de Contorno
Keywords in Portuguese
Estacas flexíveis
Grupos de estacas
Interação estaca-solo
Método das diferenças finitas
Método dos elementos de contorno
Método dos elementos finitos
Abstract in Portuguese
Title in English
Pile-soil interaction by combination of the finite and boundary element method
Keywords in English
Boundary element method
Finite different method
Finite element method
Flexible piles
Pile group
Pile-soil interaction
Abstract in English
This work presents a mixed numerical formulation of analysis of the pile-soil interaction, with or without rigid caps, under horizontal and vertical loads. In these formulations the piles are modeled by finite difference method (FDM) or finite element method (FEM) and the soil is represented by the boundary element method (BEM). In the finite element method for the pile analysis the displacements and interactions forces with the soil were represented by several polynomials functions leading to an efficient element with four nodal points, 14 nodal parameters, where four parameters are the linear displacements for each directions (X1, X2 e X3) and two parameters for the rotations at the top of the pile. The transversal displacements along the pile were represented by a fourth degree polynomial and the axial displacements were represented by cubic functions. The interface forces in the X1 and X2 directions are represented by cubic functions. The shear contact forces along of the pile surface are approximated by a second degree polynomial and the normal tractions in the pile tip is assumed to be constant over its crosssection. The soil is modeled by BEM as an isotropic, homogeneous, semi-infinite and linear-elastic continuum. Combining these analysis methods a complete system representing a pile-soil interaction problem can be obtained and from it the displacements and the pile-soil contact tractions can be achieved. Various examples are presented and the results closely agree with others authors.

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Publishing Date
2017-12-11

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