Engineering Mechanics

International Conference

Proceedings Vol. 21 (2015)


ENGINEERING MECHANICS 2015

21st INTERNATIONAL CONFERENCE
May 11 – 14, 2015, Svratka, Czech Republic
;
Editors: Jiří Náprstek and Cyril Fischer

Copyright © 2015 Institute of Theoretical and Applied Mechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-86246-42-0 (printed, Extended Abstracts)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

Partitioned Equations of Motion for Wave Propagation Problems in Solids
R. Kolman, S. Cho, K. Park
pages 142 - 143, full text

We present a decomposition of equations of motion in solids into a curl-zero (longitudinal) component and a divergence-zero (shear) component. Partitioned equations of motion are needed for accurate finite element numerical modelling of wave propagation problems. In that case, each equation of motion is integrated separately with corresponding critical time step size in explicit time integration. By this approach, dispersion behaviour of the finite element method and mainly spurious oscillations in numerical results can be suppressed.


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