The influence of building interactions on seismic and elastic body waves
Imperial College London, Department of Mathematics, London SW7 2AZ, UK
2 Aix Marseille Univ, CNRS, Centrale Marseille, Institut Fresnel, 13013 Marseille, France
3 FEMTO-ST, CNRS, Université de Bourgogne Franche-Comté, 25044 Besançon, France
4 Division of Computer, Electrical, and Mathematical Sciences and Engineering, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-69100, Saudi Arabia
5 Indian Institute of Technology Bombay, Department of Mathematics, SW7 2AZ Mumbai, India
* e-mail: email@example.com
Accepted: 23 July 2019
Published online: 20 September 2019
We outline some recent research advances on the control of elastic waves in thin and thick plates, that have occurred since the large scale experiment [S. Brûlé, Phys. Rev. Lett. 112, 133901 (2014)] that demonstrated significant interaction of surface seismic waves with holes structuring sedimentary soils at the meter scale. We further investigate the seismic wave trajectories of compressional body waves in soils structured with buildings. A significant substitution of soils by inclusions, acting as foundations, raises the question of the effective dynamic properties of these structured soils. Buildings, in the case of perfect elastic conditions for both soil and buildings, are shown to interact and strongly influence elastic body waves; such site-city seismic interactions were pointed out in [Guéguen et al., Bull. Seismol. Soc. Am. 92, 794–811 (2002)], and we investigate a variety of scenarios to illustrate the variety of behaviours possible.
Key words: Seismic metamaterial / site-city interaction / elastic cloaking / homogenisation / earthquake engineering
© B. Ungureanu et al., published by EDP Sciences, 2019
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