### Abstract

Dynamic response of deeply embedded structures, such as underground tunnels and deep foundations, in a multilayered elastic half-space are analyzed when the structure is excited by a plane P or SV wave propagating at some angle. The scattered field is represented by the sum of three Green's functions, corresponding to two oscillating forces and one oscillating moment at the centroid position of the buried structure. The amplitudes of these two forces and one moment are a priori unknown and are obtained by satisfying displacement and stress continuity conditions across the near-field/far-field boundary. The distinguishing feature of this technique from direct or indirect boundary integral techniques is that in these techniques a distribution of sources of unknown amplitude are considered at the near-field/far-field boundary, and a large number of sources are needed for different combinations of source-receiver arrangements. But in this technique the sources of unknown amplitude are placed at the location of the structure, not at the near-field/far-field boundary and, using the Saint Venant's principle, the scattered field is modelled. Thus, the number of sources required is reduced to only three. Two example problems are solved. The first one is for a deeply embedded footing in a three-layer soil mass and the second one is for a rectangular tunnel in a two-layer soil mass.

Original language | English (US) |
---|---|

Pages (from-to) | 557-571 |

Number of pages | 15 |

Journal | Earthquake Engineering and Structural Dynamics |

Volume | 22 |

Issue number | 7 |

State | Published - Jul 1993 |

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### ASJC Scopus subject areas

- Earth and Planetary Sciences (miscellaneous)
- Geotechnical Engineering and Engineering Geology
- Earth and Planetary Sciences(all)
- Environmental Science(all)

### Cite this

**Hybrid modelling of soil-structure interaction problems for deeply embedded structures in a multilayered medium.** / Romanel, Celso; Kundu, Tribikram.

Research output: Contribution to journal › Article

*Earthquake Engineering and Structural Dynamics*, vol. 22, no. 7, pp. 557-571.

}

TY - JOUR

T1 - Hybrid modelling of soil-structure interaction problems for deeply embedded structures in a multilayered medium

AU - Romanel, Celso

AU - Kundu, Tribikram

PY - 1993/7

Y1 - 1993/7

N2 - Dynamic response of deeply embedded structures, such as underground tunnels and deep foundations, in a multilayered elastic half-space are analyzed when the structure is excited by a plane P or SV wave propagating at some angle. The scattered field is represented by the sum of three Green's functions, corresponding to two oscillating forces and one oscillating moment at the centroid position of the buried structure. The amplitudes of these two forces and one moment are a priori unknown and are obtained by satisfying displacement and stress continuity conditions across the near-field/far-field boundary. The distinguishing feature of this technique from direct or indirect boundary integral techniques is that in these techniques a distribution of sources of unknown amplitude are considered at the near-field/far-field boundary, and a large number of sources are needed for different combinations of source-receiver arrangements. But in this technique the sources of unknown amplitude are placed at the location of the structure, not at the near-field/far-field boundary and, using the Saint Venant's principle, the scattered field is modelled. Thus, the number of sources required is reduced to only three. Two example problems are solved. The first one is for a deeply embedded footing in a three-layer soil mass and the second one is for a rectangular tunnel in a two-layer soil mass.

AB - Dynamic response of deeply embedded structures, such as underground tunnels and deep foundations, in a multilayered elastic half-space are analyzed when the structure is excited by a plane P or SV wave propagating at some angle. The scattered field is represented by the sum of three Green's functions, corresponding to two oscillating forces and one oscillating moment at the centroid position of the buried structure. The amplitudes of these two forces and one moment are a priori unknown and are obtained by satisfying displacement and stress continuity conditions across the near-field/far-field boundary. The distinguishing feature of this technique from direct or indirect boundary integral techniques is that in these techniques a distribution of sources of unknown amplitude are considered at the near-field/far-field boundary, and a large number of sources are needed for different combinations of source-receiver arrangements. But in this technique the sources of unknown amplitude are placed at the location of the structure, not at the near-field/far-field boundary and, using the Saint Venant's principle, the scattered field is modelled. Thus, the number of sources required is reduced to only three. Two example problems are solved. The first one is for a deeply embedded footing in a three-layer soil mass and the second one is for a rectangular tunnel in a two-layer soil mass.

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M3 - Article

AN - SCOPUS:0027789113

VL - 22

SP - 557

EP - 571

JO - Earthquake Engineering and Structural Dynamics

JF - Earthquake Engineering and Structural Dynamics

SN - 0098-8847

IS - 7

ER -