TY - JOUR
T1 - A multisymplectic integrator for elastodynamic frictionless impact problems
AU - Demoures, F.
AU - Gay-Balmaz, F.
AU - Desbrun, M.
AU - Ratiu, T.S.
AU - Aragón, Alejandro M.
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
KW - Collisions
KW - Elastic bodies
KW - Multisymplectic integrator
KW - Structure preserving discretization
UR - http://www.scopus.com/inward/record.url?scp=85007223410&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2016.11.011
DO - 10.1016/j.cma.2016.11.011
M3 - Article
AN - SCOPUS:85007223410
SN - 0045-7825
VL - 315
SP - 1025
EP - 1052
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
ER -