Granular Matter (2006) 8: 195–204
DOI 10.1007/s10035-006-0006-2
ORIGINAL PAPER
Sebastian Lobo-Guerrero · Luis E. Vallejo
Discrete element method analysis of railtrack ballast degradation
during cyclic loading
Received: 19 May 2005 / Published online: 8 March 2006
© Springer-Verlag 2006
Abstract Ballast materials forming part of railway struc-
tures are subjected to cyclic loads. As a result of these loads,
ballast densification, aggregate degradation, and lateral spread
of the ballast material underneath the ties takes place induc-
ing permanent deformations on the railways. Maintenance
and rehabilitation costs of railtracks due to problems re-
lated with ballast performance are substantial, and millions
of dollars are annually spent around the world in these activi-
ties. Understanding the crushable behavior of railtrack ballast
could lead to the design of better railways that will reduce
these costs. This paper presents the results of two discrete
element method simulations intended to study the effect of
crushing on the behavior of a simulated track ballast material
forming part of a simulated track section. Even though the
two simulations consider the same idealized material, crush-
ing was allowed only in one simulation. The simulated track
sections were subjected to a cyclic load, and the values of
permanent deformation as a function of number of cycles
were recorded. The obtained results showed that the induced
permanent deformation strongly increased when consider-
ing particle crushing even though only a few particles were
broken. Moreover, it was found that crushing concentrated
underneath the simulated sleepers. Snap shots of the track
sections are presented allowing a visualization of the evolu-
tion of crushing.
Keywords Railtrack ballast · Particle crushing · Cyclic
loading · Discrete element method (DEM)
S. Lobo-Guerrero · L.E. Vallejo (B )
Department of Civil and Environmental Engineering,
University of Pittsburgh,
949 Benedum Hall,
Pittsburgh PA 15261, USA
E-mail: vallejo@civ.pitt.edu
E-mail: sel2@pitt.edu
Tel.: +1-412-6249884,
Fax: +1-412-6240135,
1 Introduction
Ballast materials forming part of railway structures are sub-
jected to cyclic loads. As a result of these loads, ballast den-
sification, aggregate degradation, and lateral spread of the
ballast material underneath the ties takes place inducing per-
manent deformations on the railways [22]. As reported by
Indraratna et al. [8], maintenance and rehabilitation costs of
railtracks due to problems related with ballast performance
are substantial, and millions of dollars are annually spent
around the world in these activities. Understanding the crush-
able behavior of railtrack ballast could lead to the design of
better railways that will reduce these costs.
This paper presents the results of two discrete element
method (DEM) simulations intended to study the effect of
crushing on the behavior of a simulated track ballast material
forming part of a simulated track section. Even though the
two simulations consider the same idealized material, crush-
ing was allowed only in one simulation. The simulated track
sections were subjected to a cyclic load, and the values of per-
manent deformation as a function of number of cycles were
recorded. Moreover, snap shots of the track sections are pre-
sented allowing a visualization of the evolution of crushing.
2 Selection of railtrack ballast
Rail track ballast should be crushed rock, nickel slag or
crushed gravel composed by strong and durable particles
having sizes typically between 0.25 in (6.4 mm) and 2.5 in
(64 mm). In order to select a specific track ballast, economic
factors such as production, transportation, placement, and
maintenance costs need to be considered [12]. Moreover,
the material properties need to be evaluated and compared
with standards. Typical specifications for track ballast include
ranges of acceptable values of bulk specific gravity, grada-
tion, percentage of fractured particles, resistance to weath-
ering (Magnesium soundness, absorption), and resistance to
degradation (Los Angeles abrasion, mill abrasion) [5].