Modeling the railway track ballast behavior with hypoplasticity

Modeling the railway track ballast behavior with hypoplasticity Full article

Journal

Journal of Mathematical Sciences (United States)
ISSN: 1072-3374

Output data

Year: 2025, DOI: 10.1007/s10958-025-07602-w

Tags

Contact and vehicle dynamic, Railway modeling, Track ballast material, Hypoplasticity

Authors

Bauer Erich ¹ , Kovtunenko Victor A. ^2,3 , Krejčí Pavel ⁴ , Monteiro Giselle A. ⁵ , Paoli Laetitia ⁶ , Petrov Adrien ⁷

Affiliations

1	Graz University of Technology, Technikerstr. 4, Graz 8010, Austria
2	Department of Mathematics and Scientifc Computing, Karl-Franzens University of Graz, NAWI Graz, Heinrichstr. 36, Graz 8010, Austria
3	Lavrentyev Institute of Hydrodynamics, Siberian Division of the Russian Academy of Sciences, Novosibirsk 630090, Russia
4	Faculty of Civil Engineering, Czech Technical University in Prague, Thákurova 7, Praha 6 166 29, Czech Republic
5	Institute of Mathematics, Czech Academy of Sciences, Žitná 25, Praha 1 115 67, Czech Republic
6	Université Jean Monnet, CNRS, Ecole Centrale de Lyon, INSA Lyon, Universite Claude Bernard Lyon 1, ICJ UMR5208, 42023 Saint-Etienne, France
7	INSA Lyon, CNRS, Ecole Centrale de Lyon, Universite Claude Bernard Lyon 1, Université Jean Monnet, ICJ UMR5208, 20 Avenue A. Einstein, Villeurbanne 69621, France

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 diferential equation.

Bauer E. , Kovtunenko V.A. , Krejčí P. , Monteiro G.A. , Paoli L. , Petrov A.
Modeling the railway track ballast behavior with hypoplasticity
Journal of Mathematical Sciences (United States). 2025. DOI: 10.1007/s10958-025-07602-w РИНЦ OpenAlex

Accepted:	Jan 25, 2025
Published print:	Feb 22, 2025

Elibrary:	80426358
OpenAlex:	W4407853171

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