Hybrid-mixed shell quadrilateral that allows for large solution steps and is low-sensitive to mesh distortion

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

We compare three nearly optimal quadrilateral finite elements for geometrically exact inextensible-director shell model. Two of them are revisited and one is novel. The assumed natural strain (ANS) element of Ko et al. (Comput Struct 185:1-14, 2017) shows low sensitivity to mesh distortion and excellent convergence behavior for most types of shell problems. The Hu Washizu element with ANS shear strains of Wagner and Gruttmann (Int J Numer Methods Eng, 64:635-666, 2005) allows for large solution steps and is computationally fast. However, both formulations have undesirable weak spots, which we clearly identify by a comprehensive set of numerical examples. We show that a straightforward combination of both formulations results in a novel element that synergizes the positive features and eliminates the weak spots of its predecessors.

• Jezik: Angleški jezik
• Ključne besede: nonlinear shells, quadrilateral element, assumed natural strain, hybrid-mixed formulation, mesh distortion, large solution steps, mesh-distortion sensitivity
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FGG - Fakulteta za gradbeništvo in geodezijo
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2020
• Št. strani: Str. 177-192
• Številčenje: Letn. 65, št. 1
• PID: 20.500.12556/RUL-114876
• UDK: 624.07
• ISSN pri članku: 0178-7675
• DOI: 10.1007/s00466-019-01759-3
• COBISS.SI-ID: 8875617
• Datum objave v RUL: 23.03.2020

LAVRENČIČ, Marko in BRANK, Boštjan, 2020, Hybrid-mixed shell quadrilateral that allows for large solution steps and is low-sensitive to mesh distortion. Computational mechanics [na spletu]. 2020. Vol. 65, no. 1, p. 177–192. [Dostopano 26 april 2025]. DOI 10.1007/s00466-019-01759-3. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=114876

Gradivo je del revije

• Naslov: Computational mechanics
• Skrajšan naslov: Comput. mech.
• Založnik: Springer
• ISSN: 0178-7675
• COBISS.SI-ID: 6668037

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: 23.03.2020

Projekti

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