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Earthquakes and Structures
  Volume 16, Number 1, January 2019, pages 109-118

Harmonic seismic waves response of 3D rigid surface foundation on layer soil
Salah Messioud, Badredine Sbartai and Daniel Dias

    This study, analyses the seismic response for a rigid massless square foundation resting on a viscoelastic soil layer limited by rigid bedrock. The foundation is subjected either to externally applied forces or to obliquely incident seismic body or surface harmonic seismic waves P, SV and SH. A 3-D frequency domain BEM formulation in conjunction with the thin layer method (TLM) is adapted here for the solution of elastodynamic problems and used for obtained the seismic response. The mathematical approach is based on the method of integral equations in the frequency domain using the formalism of Green\'s functions (Kausel and Peck 1982) for layered soil, the impedance functions are calculated by the compatibility condition. In this study, The key step is the characterization of the soil-foundation interaction with the input motion matrix. For each frequency the impedance matrix connects the applied forces to the resulting displacement, and the input motion matrix connects the displacement vector of the foundation to amplitudes of the free field motion. This approach has been applied to analyze the effect of soil-structure interaction on the seismic response of the foundation resting on a viscoelastic soil layer limited by rigid bedrock.
Key Words
    BEM-TLM; soil structure interaction; soil layer; harmonic waves
Salah Messioud: LGCE, University of Jijel, BP 98 Ouled Aissa, 18000 Jijel, Algeria
Badredine Sbartai: Department of Civil Engineering, University of Badji Mokhtar-Annaba, Algeria
Daniel Dias: School of Automotive and Transportation Engineering, Hefei University of Technology, Hefei, China;
Geotechnical Expert, Antea Group, 92160 Antony, France

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