Hybrid-mixed low-order finite elements for geometrically exact shell models: overview and comparison

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

We critically review and compare ffteen mixed and mixed-hybrid nonlinear shell fnite element formulations with 4 nodes in order to identify those that are closest to the "optimal" one. We consider formulations that are based either on Assumed Natural Strain concept, Enhanced Assumed Strain concept, Hellinger-Reissner functional or Hu-Washizu functional, and those that efectively combine several of the mentioned approaches. Most of the formulations are state-of-the-art, but some are also presented for the frst time. We show that the fexibility of mixed-hybrid formulations requires careful consideration of theoretical and numerical aspects in the process of design of a high-performance element. We make extensive numerical experiments in order to assess convergence properties, mesh distortion sensitivity, and computational speed (that is associated with the ability to achieve large steps during the solution search) of the considered formulations. We show that the application of the idea to combine mixed-hybrid formulations of the Hellinger-Reissner and Hu-Washizu type with the Assumed Natural Strain and/or the Enhanced Assumed Strain concepts generates the formulations that perform excellent. We also identify the formulations that are currently closest to the "optimal" one.

• Jezik: Angleški jezik
• Ključne besede: shells, finite elements, hybrid formulations, mixed formulations
• Vrsta gradiva: Znanstveno delo
• Tipologija: 1.02 - Pregledni znanstveni članek
• Organizacija: FGG - Fakulteta za gradbeništvo in geodezijo
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2021
• Št. strani: Str. 1-35
• Številčenje: Letn. XX, št. X
• PID: 20.500.12556/RUL-125105
• UDK: 624.074.4
• ISSN pri članku: 1134-3060
• DOI: 10.1007/s11831-021-09537-2
• COBISS.SI-ID: 51354627
• Datum objave v RUL: 04.03.2021

Gradivo je del revije

• Naslov: Archives of computational methods in engineering
• Skrajšan naslov: Arch. comput. methods eng.
• Založnik: Springer, International Center for Numerical Methods in Engineering
• ISSN: 1134-3060
• COBISS.SI-ID: 1758230

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: lupine, končni elementi, hibridne formulacije, mešane formulacije

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