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Randomly-fluctuating heterogeneous continuum model of a ballasted railway track

Computational Mechanics volume 60, pages 845–861 (2017)Cite this article

Abstract

This paper proposes a description of a granular medium as a stochastic heterogeneous continuum medium. The heterogeneity of the material properties field recreates the heterogeneous stress field in a granular medium. The stochastic approach means that only statistical information, easily available, is required to construct the model. The heterogeneous continuum model is Calibrated with respect to discrete simulations of a set of railway ballast samples. As they are continuum-based, the equilibrium equations can be solved on a large scale using a parallel implementation of an explicit time discretization scheme for the Finite Element Method. Simulations representative of the influence on the environment of the passage of a train on a ballasted railway track clearly show the influence of the heterogeneity. These simulations seem to correlate well with previously unexplained overly damped measurements in the free field.

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Authors and Affiliations

  1. MSSMat, CNRS, CentraleSupélec, Université Paris-Saclay, Châtenay-Malabry, France

    Lucio de Abreu Corrêa & Régis Cottereau

  2. iCUBE, UMR 7347, CNRS, INSA de Strasbourg, Strasbourg, France

    Juan Carlos Quezada

  3. SNCF, Innovation and Research Department, Paris, France

    Sofia Costa d’Aguiar & Charles Voivret

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  1. Lucio de Abreu Corrêa
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Correspondence to Régis Cottereau.

Additional information

The spectral element software used for the simulation in this paper is developed jointly by CentraleSupélec, CEA Commissariat à l’Énergie Atomique and Institut de Physique du Globe de Paris. Within the SINAPS@ project, this development benefited from French state funding managed by the National Research Agency under program RNSR Future Investments bearing reference No. ANR-11-RSNR-0022-04. The simulations were performed at the Mésocentre of CentraleSupélec-ENS Paris-Saclay.

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de Abreu Corrêa, L., Quezada, J.C., Cottereau, R. et al. Randomly-fluctuating heterogeneous continuum model of a ballasted railway track. Comput Mech 60, 845–861 (2017). https://doi.org/10.1007/s00466-017-1446-8

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