An explicit local time stepping for modelling of wave propagation in heterogeneous bars

0518697 - ÚT 2020 RIV IT eng A - Abstract
Kolman, Radek
An explicit local time stepping for modelling of wave propagation in heterogeneous bars.
ICoNSoM2019. Řím, Itálie: Palazzo Argiletum, Řím, 2019. s. 99.
[International Conference on Nonlinear Solid Mechanics. 16.06.2019-19.06.2019, Roma]
R&D Projects: GA MŠMT(CZ) EF15_003/0000493; GA AV ČR(CZ) GA19-04956S
Institutional support: RVO:61388998
Keywords : wave propagation * finite element method * spurious oscillations
OECD category: Applied mechanics
http://www.memocsevents.eu/iconsom2019/wp-content/uploads/2019/06/ABSTRACT-BOOK-1.pdf

We present an explicit local time stepping for accurate finite element modelling of elastic wave propagation in heterogeneous bars. The main trouble of classical explicit time integration
based on the central difference in time with combination with the spatial discretization by finite element method is existence of numerical stress spurious oscillations and sensitivity of results
on chosen time step size. The nominated time scheme is based on local time stepping with local time step size for each finite element and pullback interpolation of local displacements on the
global level. The scheme is explicit and of second order. In this contribution, we shown the results for wave propagation in heterogeneous bars as layered and graded bars.
Permanent Link: http://hdl.handle.net/11104/0304527