000021736 001__ 21736
000021736 005__ 20170622131302.0
000021736 04107 $$aeng
000021736 046__ $$k2017-06-15
000021736 100__ $$aKolman, Radek
000021736 24500 $$aAN EXPLICIT TIME SCHEME WITH LOCAL TIME STEPPING FOR ONE-DIMENSIONAL WAVE AND IMPACT PROBLEMS IN LAYERED AND FUNCTIONALLY GRADED MATERIALS

000021736 24630 $$n6.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000021736 260__ $$bNational Technical University of Athens, 2017
000021736 506__ $$arestricted
000021736 520__ $$2eng$$aThe standard explicit time scheme (e.g. the central difference method) in finite element analysis is not able to keep accuracy of stress distribution through meshes with different local Courant numbers for each finite element. Therefore in this paper, we suggest and test a two-time step explicit scheme with local time stepping for direct time integration in finite element analysis of wave propagation in heterogeneous solids. The nominated two-time step scheme with the diagonal mass matrix is based on the modification of the central difference method with pullback interpolation and local time stepping. It means that we integrate stress situation on each finite element with local stable time step size. With local time stepping, it is possible to track more accurately a movement of wavefronts for finite element meshes with different local Courant numbers. We present numerical examples of one-dimensional wave propagation in layered and graded elastic bars under shock loading. Based on numerical tests, the presented time scheme is able to eliminate spurious oscillations in stress distribution in numerical modelling of shock wave propagation in heterogeneous materials.

000021736 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021736 653__ $$aWave propagation, Heterogeneous and graded materials, Explicit time integration, Finite element method, Local time stepping, Spurious oscillations.

000021736 7112_ $$aCOMPDYN 2017 - 6th International Thematic Conference$$cRhodes Island (GR)$$d2017-06-15 / 2017-06-17$$gCOMPDYN2017
000021736 720__ $$aKolman, Radek$$iGonzález, Jose A.$$iPark, K.C.$$iCho, Sang Soon
000021736 8560_ $$ffischerc@itam.cas.cz
000021736 8564_ $$s289093$$uhttps://invenio.itam.cas.cz/record/21736/files/17731.pdf$$yOriginal version of the author's contribution as presented on CD, section: [MS15] Non-Linear Dynamics and Wave Propagation
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000021736 962__ $$r21500
000021736 980__ $$aPAPER