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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 66
COMPUTATIONAL MECHANICS: TECHNIQUES AND DEVELOPMENTS Edited by: B.H.V. Topping
Paper IV.3
A Finite Element Method-boundary Element Method Formulation Applied to Plate-Pile-Soil Interaction Problems A.V. Mendonça and J.B. de Paiva
Escola de Engenharia de Sao Carlos, Universidade de Sao Paulo, Sao Carlos, SP, Brazil , "A Finite Element Method-boundary Element Method Formulation Applied to Plate-Pile-Soil Interaction Problems", in B.H.V. Topping, (Editor), "Computational Mechanics: Techniques and Developments", Civil-Comp Press, Edinburgh, UK, pp 81-88, 2000. doi:10.4203/ccp.66.4.3
Abstract
This work presents a mixed Finite Element Method/Boundary
Element Method formulation for the analysis of plate-pile-soil
interaction problems. In this formulation, the plate is
modelled by finite elements using DKT (Discrete Kirchhoff
Theory) and HSM (Hybrid Stress Model) elements and the
soil is modelled as an elastic half space by the boundary
element method. The pile is represented by only one element,
with 3 nodal points, and shear force along the pile is
approximated by a second degree polynomial. The pile-tip
stress is assumed to be constant over the cross-section and a
further nodal point is located there. The interface plate-soil is
divided into a triangular boundary element mesh coincident
with the finite element mesh for the plate and the subgrade
traction is assumed to vary linearly across each element. The
subgrade tractions are eliminated from the two systems of
equations obtained from FEM and BEM resulting in the
governing system of equation for plate-pile-soil interactions
problems. By solving this set of equations, the nodal
displacements, the load on the piles and the subgrade
tractions are calculated. Moreover, this formulation allows
also the analysis of pile groups with and without ground-contacting
rigid and flexible caps. Numerical results are
presented for plate-soil, pile-soil and plate-pile-soil
interactions. The results are close to those from much more
elaborate analysis.
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