The Wave Finite Element Method applied to a one-dimensional linear elastodynamic problem with unilateral constraints

Abstract : The Wave Finite Element Method (WFEM) is implemented to accurately capture traveling waves propagating at a finite speed within a bouncing rod system and induced by unilateral contact collisions with a rigid foundation; friction is not accounted for. As opposed to the traditional Finite Element Method (FEM) within a time-stepping framework, potential discontinuous deformation, stress and velocity wave fronts are accurately described, which is critical for the problem of interest. A one-dimensional benchmark with an analytical solution is investigated. The WFEM is compared to two time-stepping solution methods formulated on a FEM semi-discretization in space: (1) an explicit technique involving Lagrange multipliers and (2) a non-smooth approach implemented in the Siconos package. Attention is paid to the Gibb's phenomenon generated during and after contact occurrences together with the time evolution of the total energy of the system. It is numerically found that the WFEM outperforms the FEM and Siconos solution methods because it does not induce any spurious oscillations or dispersion and diffusion of the shock wave. Furthermore, energy is not dissipated over time. More importantly, the WFEM does not require any impact law to close the system of governing equations.
Type de document :
Communication dans un congrès
The ASME 2015 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Aug 2015, Boston, United States. Proceedings of the ASME 2015 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, <http://proceedings.asmedigitalcollection.asme.org/volume.aspx?conferenceid=3618&volumeid=17482>. <10.1115/DETC2015-46919>
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-01194922
Contributeur : Mathias Legrand <>
Soumis le : samedi 26 novembre 2016 - 19:05:03
Dernière modification le : mardi 29 novembre 2016 - 10:44:48
Document(s) archivé(s) le : lundi 27 mars 2017 - 09:19:02

Licence


Distributed under a Creative Commons Paternité - Partage selon les Conditions Initiales 4.0 International License

Identifiants

Citation

Carlos Yoong, Anders Thorin, Mathias Legrand. The Wave Finite Element Method applied to a one-dimensional linear elastodynamic problem with unilateral constraints. The ASME 2015 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Aug 2015, Boston, United States. Proceedings of the ASME 2015 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, <http://proceedings.asmedigitalcollection.asme.org/volume.aspx?conferenceid=3618&volumeid=17482>. <10.1115/DETC2015-46919>. <hal-01194922>

Partager

Métriques

Consultations de
la notice

231

Téléchargements du document

290