MODELING THE RAILWAY TRACK BALLAST BEHAVIOR WITH HYPOPLASTICITY
Abstract The contact problem describing a railway vehicle — road — track ballast system is under our investigation. During the motion, the rolling stock (snowpiercer) is represented by a moving localized load, the road by a Timoshenko beam, and the track bed material is rigorously modeled using 3-by-3 matrices of stress and strain rate. To ensure physical consistency, the Kolymbas-type hypoplasticity theory well-suited for cohesionless granular materials is applied to describe the ballast. As a result, the normal stress and shear stress on the interface between the rail bottom and ballast are analytically derived from the closed-form solution to the nonlinear hypoplastic differential equation.
Authors
- Giselle Antunes Monteiro (ORCID: https://orcid.org/0000-0001-9651-5719)
- Adrien Petrov
- Lætitia Paoli (ORCID: https://orcid.org/0000-0003-2217-4565)
- Victor A. Kovtunenko (ORCID: https://orcid.org/0000-0001-5664-2625)
- Erich Bauer (ORCID: https://orcid.org/0000-0003-2049-5947)
- Pavel Krejčı́ (ORCID: https://orcid.org/0000-0002-7579-6002)
Institutions
- Université Claude Bernard Lyon 1 (FR)
- Centre National de la Recherche Scientifique (FR)
- University of Graz (AT)
- Graz University of Technology (AT)
- Institut Camille Jordan (FR)
- Nawi Graz (AT)
- Czech Academy of Sciences, Institute of Mathematics (CZ)
- Lavrentyev Institute of Hydrodynamics (RU)
- Czech Technical University in Prague (CZ)
- Institut National des Sciences Appliquées de Lyon (FR)
- Université Jean Monnet (FR)
Publication Details
- Journal
- Journal of Mathematical Sciences
- Published
- 2025-02-22
- DOI
- https://doi.org/10.1007/s10958-025-07602-w
- Citations
- 2
- Primary Topic
- Railway Engineering and Dynamics
- Type
- article
- Field-Weighted Citation Impact
- 1.43
Funders
- Ministerstvo Školství, Mládeže a Tělovýchovy
- Ministère de l'Europe et des Affaires Étrangères
- Österreichische Agentur für Internationale Mobilität und Kooperation in Bildung, Wissenschaft und Forschung
- Karl-Franzens-Universität Graz