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Updated: Sep 4, 2025

Applying Dynamic Strain on Thin Oxide Films Immobilized on a Pseudoelastic Nickel-Titanium Alloy
Published on: July 28, 2020
Anti-plane waves in an elastic thin strip with surface energy
G I Mikhasev1, M G Botogova1, V A Eremeyev2,3
1Faculty of Mechanics and Mathematics, Belarusian State University, Nezavisimosty Ave. 4, 220030 Minsk, Belarus.
Abstract:
We consider anti-plane motions of an elastic plate taking into account surface energy within the linear Gurtin-Murdoch surface elasticity. Two boundary-value problems are considered that describe complete shear dynamics of a plate with free faces or with free and clamped faces, respectively. These problems correspond to anti-plane dynamics of an elastic film perfectly or non-perfectly attached to a rigid substrate. Detailed analysis of dispersion relations is provided. In particular, the influence of the ratio of a plate thickness to characteristic length on the dispersion curves is analysed. This article is part of the theme issue 'Wave generation and transmission in multi-scale complex media and structured metamaterials (part 1)'.
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