Transverse Compression of a Thin Inhomogeneous Elastic Layer

Autor:	Ahmed S. M. Alzaidi, Julius Kaplunov, Barbara Zupančič, Anatolij Nikonov
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	thin elastic layer asymptotic transverse compression inhomogeneity functionally graded materials Mathematics QA1-939
Zdroj:	Mathematics, Vol 12, Iss 16, p 2502 (2024)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math12162502
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/7415baf120fa478cac4adf75c395dae1 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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