Chebakov, R, Kaplunov, J and Rogerson, GA ORCID: https://orcid.org/0000-0003-0264-2931 (2017) A nonlocal asymptotic theory for thin elastic plates. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 473 (2203).

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Abstract

The three-dimensional dynamic non-local elasticity equations for a thin plate are subject to asymptotic analysis assuming the plate thickness to be much greater than a typical microscale size. The integral constitutive relations, incorporating the variation of an exponential non-local kernel across the thickness, are adopted. Long-wave low-frequency approximations are derived for both bending and extensional motions. Boundary layers specific for non-local behaviour are revealed near the plate faces. It is established that the effect of the boundary layers leads to the first-order corrections to the bending and extensional stiffness in the classical two-dimensional plate equations.

Item Type: Article
Uncontrolled Keywords: nonlocal; elasticity; plate; asymptotic; boundary layer; dynamics
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Natural Sciences > School of Computing and Maths
Depositing User: Symplectic
Date Deposited: 04 Jul 2017 08:44
Last Modified: 19 Mar 2019 14:24
URI: http://eprints.keele.ac.uk/id/eprint/3718

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