Computational finite element model for surface wrinkling of shells on soft substrates

Veldin, Tomo (avtor), Brank, Boštjan (avtor), Brojan, Miha (avtor)

We provide a robust finite element formulation for quantitative prediction of surface wrinkling of pressurized elastic shells on soft substrates. Our theory is build on three basic assumptions which involve thin shell kinematics, the approximation of the substrate response by a Winkler foundation and a model order reduction of the displacement field. Our element keeps all the nonlinear terms of the reduced model. The proposed formulation does not require any perturbations, either in the initial geometry or in the load, to incite the transition from fundamental to secondary equilibrium path for the considered set of shells, due to inherent asymmetric imperfections in the mesh. Numerical simulations using the derived element and an advanced path-following method on full spheres, hemispheres and spheroids show a very good quantitative agreement with theoretical predictions and experiments on the characteristic wavelength of the pattern as well as the qualitative depiction of the pattern evolution.

• Jezik: Angleški jezik
• Ključne besede: shells on substrates, wrinkling, surface wrinkling, film-substrate composite, model order reduction, thin shells
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FGG - Fakulteta za gradbeništvo in geodezijo
• Status publikacije: Objavljeno
• Leto izida: 2019
• Št. strani: Str. 1-29
• Številčenje: Letn. 78, 104863
• PID: 20.500.12556/RUL-114875
• UDK: 624.07
• ISSN pri članku: 1007-5704
• DOI: 10.1016/j.cnsns.2019.104863
• COBISS.SI-ID: 8813409
• Datum objave v RUL: 23.03.2020

Gradivo je del revije

• Naslov: Communications in nonlinear science and numerical simulation
• Skrajšan naslov: Commun. nonlinear. sci. numer. simulat.
• Založnik: Elsevier
• ISSN: 1007-5704
• COBISS.SI-ID: 1454101

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

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: tehnika, gradbeništvo, strojništvo, lupine na substratu, gubanje

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