A 2.5D coupled FE–BE methodology for the dynamic interaction between longitudinally invariant structures and a layered halfspace

This paper presents a general 2.5D coupled finite element–boundary element methodology for the computation of the dynamic interaction between a layered soil and structures with a longitudinally invariant geometry, such as railway tracks, roads, tunnels, dams, and pipelines. The classical 2.5D finite...

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Published in	Computer methods in applied mechanics and engineering Vol. 199; no. 23; pp. 1536 - 1548
Main Authors	François, S., Schevenels, M., Galvín, P., Lombaert, G., Degrande, G.
Format	Journal Article
Language	English
Published	Kidlington Elsevier B.V 01.04.2010 Elsevier
Subjects	2.5D modelling Applied sciences Boundary element method Buildings. Public works Computation Dams and subsidiary installations Dynamic soil–structure interaction Dynamics Elastodynamics Exact sciences and technology Geotechnics Hydraulic constructions Invariants Mathematical analysis Methodology Railroad tunnels Railway tracks (foundations and track subgrades) Roads Structure-soil interaction Transportation infrastructure Tunnels, galleries Dynamic soil–structure interaction Elastodynamics Boundary element method 2.5D modelling Invariant Singularity Dynamic soil-structure interaction Boundary integral method Free surface Elastic wave Half space Modeling Railway tunnel Direct method Finite element method Road tunnel Rail Rail transportation Railway track Vibration Green function Soil mechanics Pipeline Dam Structure soil interaction Regularization
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Abstract	This paper presents a general 2.5D coupled finite element–boundary element methodology for the computation of the dynamic interaction between a layered soil and structures with a longitudinally invariant geometry, such as railway tracks, roads, tunnels, dams, and pipelines. The classical 2.5D finite element method is combined with a novel 2.5D boundary element method. A regularized 2.5D boundary integral equation is derived that avoids the evaluation of singular traction integrals. The 2.5D Green’s functions of a layered halfspace, computed with the direct stiffness method, are used in a boundary element method formulation. This avoids meshing of the free surface and the layer interfaces with boundary elements and effectively reduces the computational efforts and storage requirements. The proposed technique is applied to four examples: a road on the surface of a halfspace, a tunnel embedded in a layered halfspace, a dike on a halfspace and a vibration isolating screen in the soil.
AbstractList	This paper presents a general 2.5D coupled finite element-boundary element methodology for the computation of the dynamic interaction between a layered soil and structures with a longitudinally invariant geometry, such as railway tracks, roads, tunnels, dams, and pipelines. The classical 2.5D finite element method is combined with a novel 2.5D boundary element method. A regularized 2.5D boundary integral equation is derived that avoids the evaluation of singular traction integrals. The 2.5D Green's functions of a layered halfspace, computed with the direct stiffness method, are used in a boundary element method formulation. This avoids meshing of the free surface and the layer interfaces with boundary elements and effectively reduces the computational efforts and storage requirements. The proposed technique is applied to four examples: a road on the surface of a halfspace, a tunnel embedded in a layered halfspace, a dike on a halfspace and a vibration isolating screen in the soil.
Author	Schevenels, M. Lombaert, G. François, S. Degrande, G. Galvín, P.
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Keywords	Dynamic soil–structure interaction Elastodynamics Boundary element method 2.5D modelling Invariant Singularity Dynamic soil-structure interaction Boundary integral method Free surface Elastic wave Half space Modeling Railway tunnel Direct method Finite element method Road tunnel Rail Rail transportation Railway track Vibration Green function Soil mechanics Pipeline Dam Structure soil interaction Regularization
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Snippet	This paper presents a general 2.5D coupled finite element–boundary element methodology for the computation of the dynamic interaction between a layered soil... This paper presents a general 2.5D coupled finite element-boundary element methodology for the computation of the dynamic interaction between a layered soil...
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SubjectTerms	2.5D modelling Applied sciences Boundary element method Buildings. Public works Computation Dams and subsidiary installations Dynamic soil–structure interaction Dynamics Elastodynamics Exact sciences and technology Geotechnics Hydraulic constructions Invariants Mathematical analysis Methodology Railroad tunnels Railway tracks (foundations and track subgrades) Roads Structure-soil interaction Transportation infrastructure Tunnels, galleries
Title	A 2.5D coupled FE–BE methodology for the dynamic interaction between longitudinally invariant structures and a layered halfspace
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