Transverse compression of a thin inhomogeneous elastic layer

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

A 3D problem in linear elasticity is considered for a thin inhomogeneous layer subject to transverse compression. For the first time, the effect of arbitrary vertical inhomogeneity is elucidated. Two sets of boundary conditions along the faces of the layer are adapted for modelling transverse compression. Robust asymptotic formulae involving repeated integrals across the thickness are derived for displacements and stresses. As an illustration, numerical results are presented for the elastic moduli having a transverse parabolic variation. The obtained results have a potential to be implemented in modern technology, including manufacturing and design of functionally graded materials.

• Language: English
• Keywords: thin elastic layer, asymptotic, transverse compression, inhomogeneity, functionally graded materials
• 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: 10 str.
• Numbering: Vol. 12, iss. 16, art. 2502
• PID: 20.500.12556/RUL-160385
• UDC: 539.3
• ISSN on article: 2227-7390
• DOI: 10.3390/math12162502
• COBISS.SI-ID: 205472259
• Publication date in RUL: 27.08.2024

Record is a part of a journal

• Title: Mathematics
• Shortened title: Mathematics
• Publisher: MDPI AG
• ISSN: 2227-7390
• COBISS.SI-ID: 523267865

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: tanka elastična plast, asimptotika, transverzalna kompresija, nehomogenost, funkcionalno razvrščeni materiali

Projects

• Funder: Other - Other funder or multiple funders
• Funding programme: Taif University, Saudi Arabia
• Project number: TU-DSPP-2024-257