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

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

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.

• Language: English
• Keywords: shells on substrates, wrinkling, surface wrinkling, film-substrate composite, model order reduction, thin shells
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FGG - Faculty of Civil and Geodetic Engineering
• Publication status: Published
• Year: 2019
• Number of pages: Str. 1-29
• Numbering: Letn. 78, 104863
• PID: 20.500.12556/RUL-114875
• UDC: 624.07
• ISSN on article: 1007-5704
• DOI: 10.1016/j.cnsns.2019.104863
• COBISS.SI-ID: 8813409
• Publication date in RUL: 23.03.2020

Record is a part of a journal

• Title: Communications in nonlinear science and numerical simulation
• Shortened title: Commun. nonlinear. sci. numer. simulat.
• Publisher: Elsevier
• ISSN: 1007-5704
• COBISS.SI-ID: 1454101

Licences

• License: CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
• Link: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Description: The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
• Licensing start date: 23.03.2020

Secondary language

• Language: Slovenian
• Keywords: tehnika, gradbeništvo, strojništvo, lupine na substratu, gubanje

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: J2-1722
• Name: Numerično modeliranje širjenja razpok v krhkih in duktilnih konstrukcijah
• Acronym: ComFrac