Analysis of embankment underlain by elastic half-space

Analysis of embankment underlain by elastic half-space: 2.5D model with paralongitudinal approximations to the half-space

Kausel, Eduardo (Massachusetts Institute of Technology)
de Oliveira Barbosa, J.M. (TU Delft Mechanics and Physics of Structures)

2022

This article presents a set of close approximations to model an elastic half-space supporting an embankment, which are evaluated in the context of phase velocity spectra, i.e. in terms of the normal wave propagation modes of the embankment-half-space system. The ultimate, intended target of these approximations is in the modeling of vertically-acting loads that may travel over the embankment with some prescribed, constant longitudinal speed. The proposed approximations are analogous to the well-known paraxial approximations that closely mimic a half-space terminating at a plane boundary, but differ from these in that the approximations herein aim at properly modeling not the waves with near normal incidence to the half-space, but waves which propagate at shallow, grazing angles along the longitudinal direction of load motion. Thus, these can be referred to as paralongitudinal approximations. The resulting expressions allow for a very effective simulation of the system at hand for loads moving with subcritical speed and solved in the context of a 2.5D solution method. Such 2.5D formulation considers a continuous model in the longitudinal direction and a discrete model in transverse planes.

Critical speed
Dispersion spectra
Fast rail
Moving loads
Waves in layered media

http://resolver.tudelft.nl/uuid:4cc75838-2714-4c2b-9722-2fafb1bf1b8b

https://doi.org/10.1016/j.soildyn.2021.107090

2023-07-01

0267-7261

Soil Dynamics and Earthquake Engineering, 155

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

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journal article

© 2022 Eduardo Kausel, J.M. de Oliveira Barbosa