Marko Lavrenčič (Avtor), Boštjan Brank (Avtor)

Povzetek

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.

Ključne besede

gradbeništvo;mešani funkcionali za dinamiko konstrukcij;mešani končni elementi;civil engineering;mixed functionals for structural dynamics;energy-decaying and momentum-conserving schemes;mixed-hybrid shell elements;transient simulations with mixed finite elements;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FGG - Fakulteta za gradbeništvo in geodezijo
UDK: 519.651:624.07
COBISS: 45180419 Povezava se bo odprla v novem oknu
ISSN: 0045-7825
Št. ogledov: 324
Št. prenosov: 106
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Sekundarni jezik: Slovenski jezik
Sekundarne ključne besede: gradbeništvo;mešani funkcionali za dinamiko konstrukcij;mešani končni elementi;
Vrsta dela (COBISS): Znanstveno delo
Konec prepovedi (OpenAIRE): 2024-03-04
Strani: str. 1-34
Zvezek: ǂVol. ǂ375/113625
Čas izdaje: Mar. 2021
DOI: 10.1016/j.cma.2020.113625
ID: 12612130