izpis_h1_title_alt

Energy-decaying and momentum-conserving schemes for transient simulations with mixed finite elements
ID Lavrenčič, Marko (Avtor), ID Brank, Boštjan (Avtor)

URLURL - Izvorni URL, za dostop obiščite https://doi.org/10.1016/j.cma.2020.113625 Povezava se odpre v novem oknu

Izvleček
We present the four-field (of displacements, velocities, stresses and strains) and the three-field (of displacements, velocitiesand stresses) mixed variational formulations for structural dynamics, which can be used to derive in an elegant way the energy-decaying and momentum-conserving (EDMC) time-stepping schemes for transient simulations with mixed solid and structuralfinite elements. These mixed variational formulations are in this work applied for the derivation of EDMC schemes for thegeometrically exact, recently proposed, mixed-hybrid, shell finite elements (with excellent performance), which combine mixedinterpolations of the Hu Washizu type or the Hellinger Reissner type with the assumed natural strain concept. To this end, thefirst-order and the second-order accurate EDMC schemes are designed. The superior properties of the considered mixed-hybridshell finite elements, which are reflected in statics by excellent convergence properties, ability to take very large solution steps,and low-sensitivity to mesh distortion, are in this manner extended for (long-term) transient simulations. Numerical examples,which illustrate transient simulations with the EDMC schemes and mixed-hybrid shell finite elements, show (among othereffects) that the underlying structure of the shell motion is numerically preserved even for very large time steps.

Jezik:Angleški jezik
Ključne besede:civil engineering, mixed functionals for structural dynamics, energy-decaying and momentum-conserving schemes, mixed-hybrid shell elements, transient simulations with mixed finite elements
Vrsta gradiva:Znanstveno delo
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:FGG - Fakulteta za gradbeništvo in geodezijo
Status publikacije:Objavljeno
Različica publikacije:Recenzirani rokopis
Leto izida:2021
Št. strani:Str. 1-34
Številčenje:Vol. 375/113625
PID:20.500.12556/RUL-125100 Povezava se odpre v novem oknu
UDK:519.651:624.07
ISSN pri članku:0045-7825
DOI:10.1016/j.cma.2020.113625 Povezava se odpre v novem oknu
COBISS.SI-ID:45180419 Povezava se odpre v novem oknu
Datum objave v RUL:04.03.2021
Število ogledov:1233
Število prenosov:135
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Gradivo je del revije

Naslov:Computer methods in applied mechanics and engineering
Skrajšan naslov:Comput. methods appl. mech. eng.
Založnik:Elsevier
ISSN:0045-7825
COBISS.SI-ID:6695685 Povezava se odpre v novem oknu

Licence

Licenca:CC BY-NC-ND 4.0, Creative Commons Priznanje avtorstva-Nekomercialno-Brez predelav 4.0 Mednarodna
Povezava:http://creativecommons.org/licenses/by-nc-nd/4.0/deed.sl
Opis:Najbolj omejujoča licenca Creative Commons. Uporabniki lahko prenesejo in delijo delo v nekomercialne namene in ga ne smejo uporabiti za nobene druge namene.
Začetek licenciranja:04.03.2021

Sekundarni jezik

Jezik:Slovenski jezik
Ključne besede:gradbeništvo, mešani funkcionali za dinamiko konstrukcij, mešani končni elementi

Projekti

Financer:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Številka projekta:J2-1722
Naslov:Numerično modeliranje porušitve v krhkih, kvazi-krhkih in duktilnih konstrukcijah
Akronim:ComFrac

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