000012441 001__ 12441
000012441 005__ 20160816141445.0
000012441 04107 $$aeng
000012441 046__ $$k2016-05-09
000012441 100__ $$aKolman, R.
000012441 24500 $$aDISPERSION PROPERTIES OF FINITE ELEMENT METHOD: REVIEW

000012441 24630 $$n22.$$pEngineering Mechanics 2016
000012441 260__ $$bInstitute of Thermomechanics AS CR, v.v.i., Praha
000012441 506__ $$arestricted
000012441 520__ $$2eng$$aReview of the dispersion properties of plane square bilinear finite element used in plane elastic wave propagation problems is presented. It is assumed the grid (spatial) dispersion analysis and, further, the temporal-spatial dispersion analysis for explicit direct time integration based on the central difference method. In this contribution, the dispersion surfaces, polar diagrams and error dispersion graphs for bilinear finite element are depicted for different Courant numbers in explicit time integration. Finally, recommendation for setting the mesh size and the time step size for the explicit time integration of discretized equations of motion by the bilinear finite element method is provided.

000012441 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000012441 653__ $$aFinite element method, dispersion properties, wave speed, explicit time integration.

000012441 7112_ $$aEngineering Mechanics 2016$$cSvratka, CZ$$d2016-05-09 / 2016-05-12$$gEM2016
000012441 720__ $$aKolman, R.$$iOkrouhlík, M.$$iPlešek, J.$$iGabriel, D.
000012441 8560_ $$ffischerc@itam.cas.cz
000012441 8564_ $$s402198$$uhttps://invenio.itam.cas.cz/record/12441/files/071bo_o_min.pdf$$yOriginal version of the author's contribution as presented on CD, id 071, section MIN.
000012441 962__ $$r12369
000012441 980__ $$aPAPER