# zbMATH — the first resource for mathematics

Combined discrete-finite element modeling of ballasted railway track under cyclic loading. (English) Zbl 1404.74171
Summary: This paper proposes a combined discrete-finite element model to investigate the dynamic behavior of ballasted railway tracks. The discrete element method (DEM) is adopted to model the discrete ballast materials. The shapes of ballast particles resembles clumps of overlapping spheres which are obtained by the growth of spheres inside convex polyhedra. The finite element method (FEM) is used to analyze the continuous embankment and foundation. The transmission between DEM and FEM at the ballast-embankment interface is processed according to the interaction force based on the principle of virtual work. The dynamic behavior of ballasted railway track under cyclic loading is simulated with the developed DEM-FEM model. The settlement of the sleeper and the deformation of the embankment and foundation, the force chains in the ballast and stress distributions in the embankment and foundation are obtained. The developed model is helpful in better understanding the mechanical characteristics of ballasted railway tracks.
Reviewer: Reviewer (Berlin)

##### MSC:
 74S05 Finite element methods applied to problems in solid mechanics 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 74M15 Contact in solid mechanics
DEMPack
Full Text:
##### References:
 [1] Chen, C.; McDowell, G.; Thom, N., Discrete element modelling of cyclic loads of geogrid-reinforced ballast under confined and unconfined conditions, Geotext. Geomembranes, 35, 76-86, (2012) [2] Coleri, E.; Harvey, J. T.; Yang, K.; Boone, J. M., Development of a micromechanical finite element model from computed tomography images for shear modulus simulation of asphalt mixtures, Constr. Build. Mater., 30, 783-793, (2012) [3] Cundall, P. A., Formulation of a three-dimensional distinct element model-part I. A scheme to detect and represent contacts in a system composed of many polyhedral blocks, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 25, 107-116, (1988) [4] Cundall, P. A.; Strack, O. D. L., A discrete numerical model for granular assemblies, Géotechnique, 12, 47-65, (1979) [5] Di Renzo, A.; Di Maio, F. P., An improved integral non-linear model for the contact of particles in distinct element simulations, Chem. Eng. Sci., 60, 1303-1312, (2005) [6] Ei Kacimi, A.; Woodward, P.; Laghrouche, O.; Medero, G., Time domain 3D finite element modelling of train-induced vibration at high speed, Comput. Struct., 118, 66-73, (2013) [7] Ferellec, J.; McDowell, G., Modelling realistic shape and particle inertia in DEM, Géotechnique, 60, 227-232, (2010) [8] Ghauch, Z. G.; Ozer, H.; Ai-Qadi, I. L., Micromechanical finite element modeling of moisture damage in bituminous composite materials, Constr. Build. Mater., 80, 9-17, (2015) [9] Guo, L.; Xiang, J.; Latham, J. P.; Izzuddin, B., A numerical investigation of mesh sensitivity for a new three-dimensional fracture model within the combined finite-discrete element method, Eng. Fract. Mech., 151, 70-91, (2016) [10] Hai, Q., Automatic generation of 2D micromechanical finite element model of silicon-carbide/aluminum metal matrix composites: effects of the boundary conditions, Mater. Des., 44, 446-453, (2013) [11] Huang, H.; Tutumluer, E., Discrete element modeling for fouled railroad ballast, Constr. Build. Mater., 25, 3306-3312, (2011) [12] Indraratna, B.; Ngo, N. T.; Rujikiatkamjorn, C.; Sloan, S. W., Coupled discrete element-finite difference method for analyzing the load-deformation behavior of a single stone column in soft soil, Comput. Geotech., 63, 267-278, (2015) [13] Indraratna, B.; Ngo, N. T.; Rujikiatkamjorn, C.; Vinod, J., Behavior of fresh and fouled railway ballast subjected to direct shear testing: discrete element simulation, Int. J. Geomech., 14, 34-44, (2012) [14] Kremmer, M.; Favier, J., A method for representing boundaries in discrete element modelling — part II: kinematics, Int. J. Numer. Methods Eng., 51, 1423-1436, (2001) · Zbl 1065.74636 [15] Laryea, S.; Baghsorkhi, M. S.; Ferellec, J. F.; Well, G. R.; Chen, C., Comparison of performance of concrete and steel sleepers using experimental and discrete element methods, Transp. Geotech., 1, 225-240, (2014) [16] Leshchinsky, B.; Ling, H. I., Numerical modeling of behavior of railway ballasted structure with geocell confinement, Geotext. Geomembranes, 36, 33-43, (2013) [17] Li, W.; Dwight, R. A.; Zhang, T., On the study of vibration of a supported railway rail using the semi-analytical finite element method, J. Sound Vib., 345, 121-145, (2015) [18] Lim, W.; McDowell, G., Discrete element modelling of railway ballast, Granul. Matter, 7, 19-29, (2005) · Zbl 1162.74341 [19] Lobo-Guerrero, S.; Vallejo, L. E., Discrete element method analysis of rail track ballast degradation during cyclic loading, Granul. Matter, 8, 195-204, (2006) [20] Lu, M.; McDowell, G., The importance of modelling ballast particle shape in the discrete element method, Granul. Matter, 9, 69-80, (2007) [21] Lu, M.; McDowell, G., Discrete element modelling of railway ballast under monotonic and cyclic triaxial loading, Géotechnique, 60, 459-467, (2010) [22] Nejad, R. M., Using three-dimensional finite element analysis for simulation of residual stresses in railway wheels, Eng. Fail. Anal., 45, 449-455, (2014) [23] Ngo, N. T.; Indraratna, B.; Rujikiatkamjorn, C., DEM simulation of the behaviour of geogrid stabilised ballast fouled with coal, Comput. Geotech., 55, 224-231, (2014) [24] Onate, E.; Rojek, J., Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems, Comput. Methods Appl. Mech. Eng., 193, 3087-3128, (2004) · Zbl 1079.74646 [25] Paolucci, R.; Maffeis, A.; Scandella, L.; Stupazzini, M.; Vanini, M., Numerical prediction of low-frequency ground vibrations induced by high-speed trains at ledsgaard, Sweden, Soil Dyn. Earthq. Eng., 23, 425-433, (2003) [26] Peters, B.; Džiugys, A., Numerical simulation of the motion of granular material using object-oriented techniques, Comput. Methods Appl. Mech. Eng., 191, 1983-2007, (2002) · Zbl 1098.74739 [27] Potyondy, D.; Cundall, P. A., A bonded-particle model for rock, Int. J. Rock Mech. Min. Sci., 41, 1329-1364, (2004) [28] Ramirez, R.; Poschel, T.; Brilliantov, N. V., Coefficient of restitution of colliding visco-elastic sphere, Phys. Rev. E, 60, 4465-4472, (1999) [29] Real, J. I.; Gómez, L.; Montalbán, L.; Real, T., Study of the influence of geometrical and mechanical parameters on ballasted railway tracks design, J. Mech. Sci. Technol., 26, 2837-2844, (2012) [30] Rojek, J.; Onate, E., Multiscale analysis using a coupled discrete/finite element model, Interact. Multiscale Mech., 1, 1-31, (2007) [31] Rousseau, J.; Frangin, E.; Marin, P.; Daudeville, L., Multidomain finite and discrete elements method for impact analysis of a concrete structure, Eng. Struct., 31, 2735-2743, (2009) [32] Selig, E. T.; Waters, J. M., Track Geotechnology and Substructure Management, (1994), Thomas Telford, New York [33] Shahraki, M.; Warnakulasooriya, C.; Witt, K. J., Numerical study of transition zone between ballasted and ballastless railway track, Transp. Geotech., 3, 58-67, (2015) [34] Wang, Z.; Jing, G.; Yu, Q.; Yin, H., Analysis of ballast direct shear tests by discrete element method under different normal stress, Measurement, 63, 17-24, (2015) [35] Winkel, B., Viscous nonlinearity in central difference and newmark integration schemes, Acta Mech., 209, 179-186, (2010) · Zbl 1381.74222 [36] Yan, Y.; Ji, S., Discrete element modeling of direct shear tests for a granular material, Int. J. Numer. Anal. Methods Geomech., 34, 978-990, (2010) · Zbl 1273.74572 [37] Yan, Y.; Zhao, J.; Ji, S., Discrete element analysis of breakage of irregularly shaped railway ballast, Geomech. Geoeng., 10, 1-9, (2014) [38] Zhai, W.; He, Z.; Song, X., Prediction of high-speed train induced ground vibration based on train-track-ground system model, Earthq. Eng. Eng. Vib., 9, 545-554, (2010) [39] Zhao, D.; Nezami, E. G.; Hashash, Y. M.; Ghaboussi, J., Three-dimensional discrete element simulation for granular materials, Eng. Comput., 23, 749-770, (2006) · Zbl 1182.74037
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.