Computational finite element model for surface wrinkling of shells on soft substrates
ID Veldin, Tomo (Author), ID Brank, Boštjan (Author), ID Brojan, Miha (Author)

URLURL - Source URL, Visit https://doi.org/10.1016/j.cnsns.2019.104863 This link opens in a new window

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.

Keywords:shells on substrates, wrinkling, surface wrinkling, film-substrate composite, model order reduction, thin shells
Work type:Scientific work (r2)
Typology:1.01 - Original Scientific Article
Organization:FGG - Faculty of Civil and Geodetic Engineering
Publication status in journal:Published
Number of pages:Str. 1-29
Numbering:Letn. 78, 104863
PID:20.500.12556/RUL-114875 This link opens in a new window
ISSN on article:1007-5704
DOI:10.1016/j.cnsns.2019.104863 This link opens in a new window
COBISS.SI-ID:8813409 This link opens in a new window
Publication date in RUL:23.03.2020
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Record is a part of a journal

Title:Communications in nonlinear science and numerical simulation
Shortened title:Commun. nonlinear. sci. numer. simulat.
COBISS.SI-ID:1454101 This link opens in a new window


License:CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
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

Keywords:tehnika, gradbeništvo, strojništvo, lupine na substratu, gubanje


Funder:ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
Project number:P2-0210

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