Work

Transverse Compression of a Thin Inhomogeneous Elastic Layer

Year: 2024

Type: article

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.

Source: Mathematics

DOI: 10.3390/math12162502

Authors: Ahmed S. M. Alzaidi, Julius Kaplunov, Barbara Zupančič, Anatolij Nikonov

Institutions: Taif University, Keele University, National Institute of Chemistry, University of Ljubljana

Language: English

Topic: Elasticity and Wave Propagation

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: Taif University