An explicit time scheme in finite element computations based on partitioned wave equations of solids

0452272 - ÚT 2016 DE eng A - Abstract
Kolman, Radek - Cho, S.S. - Park, K.C.
An explicit time scheme in finite element computations based on partitioned wave equations of solids.
YIC GACM 2015 - Book of Abstracts. Aachen: RWTH Aachen University, 2015 - (Elgeti, S.; Simon, J.). s. 111-111
[ECCOMAS Young Investigators Conference (YIC) /3./. 20.07.2015-23.07.2015, Aachen]
R&D Projects: GA ČR(CZ) GAP101/12/2315; GA TA ČR(CZ) TH01010772
Institutional support: RVO:61388998
Keywords : wave propagation * finite element method * explicit integrator * dispersion * spurious oscillations
Subject RIV: BI - Acoustics
http://www.cats.rwth-aachen.de:8080/~elgeti/BookOfAbstractsYIC-GACM-2015.pdf

This contribution presents a partitioned explicit wave propagation analysis method in finite element computations of discontinuous wave propagation problems in solids. The present algorithm tracks, with different integration time step sizes in accordance with their different wave speeds, the propagation fronts of longitudinal and shear waves by integrating separately the element-by-element partitioned longitudinal and shear equations of motion. The presented time scheme is a combination of the central difference integration time marching and a pullback interpolation of the advanced state vectors pertaining to the longitudinal and shear wave fronts. The paper describes a predictor-corrector form implementation of the present algorithm into standard finite element codes, with an adaptation of quadrilateral and hexahedral finite elements. Numerical examples are presented as applied to linear and non-linear wave propagation problems to verify and validate the proposed partitioned explicit wave propagation analysis method.
Permanent Link: http://hdl.handle.net/11104/0254584