000021333 001__ 21333
000021333 005__ 20170522124349.0
000021333 04107 $$aeng
000021333 046__ $$k2017-05-15
000021333 100__ $$aKolman, R.
000021333 24500 $$aAN EXPLICIT TIME SCHEME WITH LOCAL TIME STEPPING FOR ONE-DIMENSIONAL WAVE PROPAGATION IN A BIMATERIAL BAR

000021333 24630 $$n23.$$pEngineering Mechanics 2017
000021333 260__ $$bBrno University of Technology, Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno
000021333 506__ $$arestricted
000021333 520__ $$2eng$$aIn this paper, we test a two-time step explicit scheme with local time stepping. The standard explicit time scheme in finite element analysis is not able to keep accuracy of stress distribution through meshes with different local Courant numbers for each finite element. The used two-time step scheme with the diagonal mass matrix is based on the modification of the central difference method with pullback interpolation. We present a numerical example of one-dimensional wave propagation in a bimaterial elastic bar. Based on numerical tests, the employed time scheme with pullback interpolation and local stepping technique is able to eliminate spurious oscillations in stress distribution in numerical modelling of shock wave propagation in heterogeneous materials.

000021333 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021333 653__ $$aWave propagation in heterogeneous materials, Explicit time integration, Finite element method, Local stepping, Spurious oscillations.

000021333 7112_ $$aEngineering Mechanics 2017$$cSvratka, CZ$$d2017-05-15 / 2017-05-18$$gEM2017
000021333 720__ $$aKolman, R.$$iBerezovski, A.$$iPark K., C.$$iGonzalez J., G.$$iCho S., S.
000021333 8560_ $$ffischerc@itam.cas.cz
000021333 8564_ $$s903959$$uhttps://invenio.itam.cas.cz/record/21333/files/0474.pdf$$yOriginal version of the author's contribution in proceedings, page 474, section DYN.
000021333 962__ $$r21225
000021333 980__ $$aPAPER