Transverse compression of a thin elastic disc

Alzaidi, Ahmed S. M. (avtor), Kaplunov, Julius (avtor), Nikonov, Anatolij (avtor), Zupančič, Barbara (avtor)

The mathematical formulations for transverse compression of a thin elastic disc are considered, including various boundary conditions along the faces of the disc. The mixed boundary conditions corresponding to the loading by normal stresses in absence of sliding are studied in detail. These conditions support an explicit solution in a Fourier series for the boundary layers localised near the edge of the disc and also do not assume making use of the Saint-Venant principle underlying the traditional asymptotic theory for thin elastic structures. As an example, an axisymmetric problem is studied. Along with the leading order solution for a plane boundary layer, a two-term outer expansion is derived. The latter is expressed through the derivatives of the prescribed stresses. Generalisations of the developed approach are addressed.

• Jezik: Angleški jezik
• Ključne besede: thin elastic discs, asymptotic, compression, boundary layer, mixed condition
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FS - Fakulteta za strojništvo
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2024
• Št. strani: 15 str.
• Številčenje: Vol. 75, nr. 116
• PID: 20.500.12556/RUL-156415
• UDK: 539.3
• ISSN pri članku: 0044-2275
• DOI: 10.1007/s00033-024-02238-3
• COBISS.SI-ID: 196524803
• Datum objave v RUL: 24.05.2024

Gradivo je del revije

• Naslov: Zeitschrift für angewandte Mathematik und Physik
• Skrajšan naslov: Z. angew. Math. Phys.
• Založnik: Birkhaeuser Verlag
• ISSN: 0044-2275
• COBISS.SI-ID: 26662656

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: tanke elastične plošče, asimptotika, kompresija, mejna plast, mešani pogoji