Published March 1, 2017
| public
Journal Article
A multisymplectic integrator for elastodynamic frictionless impact problems
Abstract
We present a structure preserving numerical algorithm for the collision of elastic bodies. Our integrator is derived from a discrete version of the field-theoretic (multisymplectic) variational description of nonsmooth Lagrangian continuum mechanics, combined with generalized Lagrange multipliers to handle inequality constraints. We test the resulting explicit integrator for the longitudinal impact of two elastic linear bar models, and for the collision of a nonlinear geometrically exact beam model with a rigid plane. Numerical simulations for various physical parameters are presented to illustrate the behavior and performance of our approach.
Additional Information
© 2016 Elsevier B.V. Received 6 October 2015; received in revised form 1 November 2016; accepted 2 November 2016; Available online 8 December 2016. We are very grateful to Alain Curnier for his constant advice and interest in our results during the elaboration of this work. We are indebted to Lyudmila Grigoryeva for many helpful discussions. The first author was partially supported by the European Research Council Advanced Grant 267382 FCCA. The first and second authors were partially supported by the ANR project GEOMFLUID, ANR-14-CE23-0002-01. The third author was partially supported by NSF grant CCF-1011944. The fourth author were partially supported by the Swiss National Science Foundation grant NCCR SwissMAP.Additional details
- Eprint ID
- 74956
- Resolver ID
- CaltechAUTHORS:20170309-083703860
- 267382 FCCA
- European Research Council (ERC)
- ANR-14-CE23-0002-01
- Agence Nationale pour la Recherche (ANR)
- CCF-1011944
- NSF
- NCCR SwissMAP
- Swiss National Science Foundation (SNSF)
- Created
-
2017-03-09Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field