000014211 001__ 14211
000014211 005__ 20161115100144.0
000014211 04107 $$aeng
000014211 046__ $$k2016-08-21
000014211 100__ $$aTóth, Balázs
000014211 24500 $$aDual-mixed principles in elastodynamics - an application to cylindrical shells

000014211 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers
000014211 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016
000014211 506__ $$arestricted
000014211 520__ $$2eng$$aThe commercial finite elements suffer from several kind of numerical difficulties. These problems occur in such a way that the finite element solution for the unknowns deteriorates as the mesh become refined step by step, namely the convergence for the relative errors of variables is very slow. This is the numerical locking effect. These low-order, primal and primal-mixed structural finite elements suffer from the most serious convergence problems. One of the most efficient strategies, to avoid the numerical locking phenomenon, is the use of multi-field dual-mixed variational principles for development of finite element models. Accordingly three, new multi-field dual-mixed energy principles using non-symmetric stresses are presented for linear elastodynamic problems. One of them provides a theoretical basis for construction of a new hp-version cylindrical shell finite element which is tested through benchmark problems, and the numerical results are compared to computed ones by the models appearing in the literature.

000014211 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000014211 653__ $$a

000014211 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016
000014211 720__ $$aTóth, Balázs
000014211 8560_ $$ffischerc@itam.cas.cz
000014211 8564_ $$s34877$$uhttps://invenio.itam.cas.cz/record/14211/files/PO.SM04-1.17.231.pdf$$yOriginal version of the author's contribution as presented on CD,  page 1976, code PO.SM04-1.17.231
.
000014211 962__ $$r13812
000014211 980__ $$aPAPER