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Zbl 1176.74120
Genes, M.Cemal; Kocak, Suleyman
Dynamic soil-structure interaction analysis of layered unbounded media via a coupled finite element/boundary element/scaled boundary finite element model. (English)
[J] Int. J. Numer. Methods Eng. 62, No. 6, 798-823 (2005). ISSN 0029-5981

Summary: A coupled model based on finite element method (FEM), boundary element method (BEM) and scaled boundary FEM (SBFEM) (also referred to as the consistent infinitesimal finite element cell method) for dynamic response of 2D structures resting on layered soil media is presented. The SBFEM proposed by {\it J. P. Wolff} and {\it C. Song} [Finite-element modelling of unbounded media. Chichester: Wiley. xvii (1996; Zbl 0879.73002)] and BEM are used for modelling the dynamic response of the unbounded media (far-field). The standard FEM is used for modelling the finite region (near-field) and the structure. In SBFEM, which is a semi-analytical technique, the radiation condition at infinity is satisfied exactly without requiring the fundamental solution. This method, also eliminates the need for the discretization of interfaces between different layers. In both SBFEM and BEM, the spatial dimension is decreased by one. The objective of the development of this coupled model is to combine advantages of above-mentioned three numerical models to solve various soil-structure interaction (SSI) problems efficiently and effectively. These three methods are coupled (FE-BE-SBFEM) via substructuring method, and a computer programme is developed for the harmonic analyses of SSI systems. The coupled model is established in such a way that, depending upon the problem and far-field properties, one can choose BEM and/or SBFEM in modelling related far-field region(s). Thus, BEM and/or SBFEM can be used efficiently in modelling the far-field. The proposed model is applied to investigate dynamic response of rigid and elastic structures resting on layered soil media. To assess the proposed SSI model, several problems existing in the literature are chosen and analysed. The results of the proposed model agree with the results presented in the literature for the chosen problems. The advantages of the model are demonstrated through these comparisons.

MSC 2000:: *74L10 Soil and rock mechanics
74S05 Finite element methods
74S15 Boundary element methods

Keywords: soil-structure interaction; coupled model; finite element; boundary elements; impedance; non-homogeneous mediums

Citations: Zbl 0879.73002

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Zentralblatt MATH Berlin [Germany]