Transverse compression of a thin elastic disc

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

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.

• Language: English
• Keywords: thin elastic discs, asymptotic, compression, boundary layer, mixed condition
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2024
• Number of pages: 15 str.
• Numbering: Vol. 75, nr. 116
• PID: 20.500.12556/RUL-156415
• UDC: 539.3
• ISSN on article: 0044-2275
• DOI: 10.1007/s00033-024-02238-3
• COBISS.SI-ID: 196524803
• Publication date in RUL: 24.05.2024

Record is a part of a journal

• Title: Zeitschrift für angewandte Mathematik und Physik
• Shortened title: Z. angew. Math. Phys.
• Publisher: Birkhaeuser Verlag
• ISSN: 0044-2275
• COBISS.SI-ID: 26662656

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: tanke elastične plošče, asimptotika, kompresija, mejna plast, mešani pogoji