Energy-decaying and momentum-conserving schemes for transient simulations with mixed finite elements

Lavrenčič, Marko (avtor), Brank, Boštjan (avtor)

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
• UDK: 519.651:624.07
• ISSN pri članku: 0045-7825
• DOI: 10.1016/j.cma.2020.113625
• COBISS.SI-ID: 45180419
• Datum objave v RUL: 04.03.2021

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

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