Ahmed S. M. Alzaidi
Transverse Compression of a Thin Inhomogeneous Elastic Layer
Alzaidi, Ahmed S. M.; Kaplunov, Julius; Zupančič, Barbara; Nikonov, Anatolij
Abstract
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.
Citation
Alzaidi, A. S. M., Kaplunov, J., Zupančič, B., & Nikonov, A. (in press). Transverse Compression of a Thin Inhomogeneous Elastic Layer. Mathematics, 12(16), Article 2502. https://doi.org/10.3390/math12162502
Journal Article Type | Article |
---|---|
Acceptance Date | Aug 9, 2024 |
Online Publication Date | Aug 13, 2024 |
Deposit Date | Sep 2, 2024 |
Journal | Mathematics |
Publisher | MDPI |
Peer Reviewed | Peer Reviewed |
Volume | 12 |
Issue | 16 |
Article Number | 2502 |
DOI | https://doi.org/10.3390/math12162502 |
Keywords | thin elastic layer; asymptotic; transverse compression; inhomogeneity; functionally graded materials |
Public URL | https://keele-repository.worktribe.com/output/890128 |
Publisher URL | https://www.mdpi.com/2227-7390/12/16/2502 |
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