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dc.contributor.authorSantasusana, Miquel
dc.contributor.authorIrazábal González, Joaquín
dc.contributor.authorOñate Ibáñez de Navarra, Eugenio
dc.contributor.authorCarbonell Puigbó, Josep Maria
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria
dc.identifier.citationSantasusana, M., Irazábal, J., Oñate, E., Carbonell, J.M. The Double Hierarchy Method: a parallel 3D contact method for the interaction of spherical particles with rigid FE boundaries using the DEM. "Computational particle mechanics", Juliol 2016, vol. 3, núm. 3, p. 407-428.
dc.descriptionThe final publication is available at Springer via
dc.description.abstractIn this work, we present a new methodology for the treatment of the contact interaction between rigid boundaries and spherical discrete elements (DE). Rigid body parts are present in most of large-scale simulations. The surfaces of the rigid parts are commonly meshed with a finite element-like (FE) discretization. The contact detection and calculation between those DE and the discretized boundaries is not straightforward and has been addressed by different approaches. The algorithm presented in this paper considers the contact of the DEs with the geometric primitives of a FE mesh, i.e. facet, edge or vertex. To do so, the original hierarchical method presented by Horner et al. (J Eng Mech 127(10):1027–1032, 2001) is extended with a new insight leading to a robust, fast and accurate 3D contact algorithm which is fully parallelizable. The implementation of the method has been developed in order to deal ideally with triangles and quadrilaterals. If the boundaries are discretized with another type of geometries, the method can be easily extended to higher order planar convex polyhedra. A detailed description of the procedure followed to treat a wide range of cases is presented. The description of the developed algorithm and its validation is verified with several practical examples. The parallelization capabilities and the obtained performance are presented with the study of an industrial application example.
dc.format.extent22 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subjectÀrees temàtiques de la UPC::Enginyeria dels materials::Assaig de materials
dc.subject.otherDiscrete element method
dc.subject.otherContact detection
dc.subject.otherHierarchical search
dc.subject.otherParticle–solid contact interaction
dc.titleThe Double Hierarchy Method: a parallel 3D contact method for the interaction of spherical particles with rigid FE boundaries using the DEM
dc.subject.lemacMaterials -- Erosió
dc.contributor.groupUniversitat Politècnica de Catalunya. GMNE - Grup de Mètodes Numèrics en Enginyeria
dc.contributor.groupUniversitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
dc.description.versionPostprint (author's final draft)
upcommons.citation.authorSantasusana, M., Irazábal, J., Oñate, E., Carbonell, J.M.
upcommons.citation.publicationNameComputational particle mechanics

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