Wrinkling of thin plates and shells on shrinking substrates

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

A new finite element formulation and a set of novel desktop experiments for studying wrinkling of thin plates and shells on shrinking substrates is presented. In developing the computational model, we build on our previous work and further develop the finite element formulation by implementing a neo-Hookean material model to more accurately capture large displacements and large strains in the substrate. The substrate is discretized with solid 3D hexahedral 8 node finite elements, whose formulation was derived using the theory of incompatible modes. Our computational model is validated through a series of numerical and desktop experiments on plates and shells. Numerically, the strain mismatch is simulated by cooling the substrate, while experimentally it is achieved through the shrinkage of the silicone substrate during solidification, which was enhanced by the addition of a silicone oil. The extent of shrinkage was controlled by the volume ratio of silicone elastomer-to-silicone oil. A good agreement between the calculated wavelengths of the neighboring wrinkles from numerical simulations, experiments and theoretical predictions confirmed the predictive effectiveness of the proposed numerical procedure.

• Language: English
• Keywords: wrinkling, thin shell, finite element, 3D solid, neo-Hookean material
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FGG - Faculty of Civil and Geodetic Engineering; FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2025
• Number of pages: 14 str.
• Numbering: Vol. 215, pt. B, art. 113504
• PID: 20.500.12556/RUL-182542
• UDC: 621
• ISSN on article: 1879-3223
• DOI: 10.1016/j.tws.2025.113504
• COBISS.SI-ID: 239014147
• Publication date in RUL: 15.05.2026

Record is a part of a journal

• Title: Thin-walled structures
• Publisher: Elsevier
• ISSN: 1879-3223
• COBISS.SI-ID: 23273989

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.

Secondary language

• Language: Slovenian
• Keywords: gubanje, tanka lupina, končni element, 3D-izdelek, neohookeovski material

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: J2-9223
• Name: Kristalografija nagubanih elastičnih površin

• Funder: ARRS - Slovenian Research Agency
• Project number: J2-2499
• Name: Razvoj kvaziperiodičnih deformacijskih vzorcev v viskoelastičnih strukturah