Wrinkling of thin plates and shells on shrinking substrates

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

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.

• Jezik: Angleški jezik
• Ključne besede: wrinkling, thin shell, finite element, 3D solid, neo-Hookean material
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FGG - Fakulteta za gradbeništvo in geodezijo ; FS - Fakulteta za strojništvo
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2025
• Št. strani: 14 str.
• Številčenje: Vol. 215, pt. B, art. 113504
• PID: 20.500.12556/RUL-182542
• UDK: 621
• ISSN pri članku: 1879-3223
• DOI: 10.1016/j.tws.2025.113504
• COBISS.SI-ID: 239014147
• Datum objave v RUL: 15.05.2026

Gradivo je del revije

• Naslov: Thin-walled structures
• Založnik: Elsevier
• ISSN: 1879-3223
• COBISS.SI-ID: 23273989

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.

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: gubanje, tanka lupina, končni element, 3D-izdelek, neohookeovski material

Projekti

• Financer: ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
• Številka projekta: J2-9223
• Naslov: Kristalografija nagubanih elastičnih površin

• Financer: ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
• Številka projekta: J2-2499
• Naslov: Razvoj kvaziperiodičnih deformacijskih vzorcev v viskoelastičnih strukturah