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On effective surface elastic moduli for microstructured strongly anisotropic coatings

Abstract

The determination of surface elastic moduli is discussed in the context of a recently proposed strongly anisotropic surface elasticity model. The aim of the model was to describe deformations of solids with thin elastic coatings associated with so-called hyperbolic metasurfaces. These metasurfaces can exhibit a quite unusual behaviour and concurrently a very promising wave propagation behaviour. In the model of strongly anisotropic surface elasticity, strain energy as a function of the first and second deformation gradients has been introduced in addition to the constitutive relations in the bulk. In order to obtain values of surface elastic moduli, we compare dispersion relations for anti-plane surface waves obtained using the two-dimensional (2D) model and three-dimensional (3D) straightforward calculations for microstructured coatings of finite thickness. We show that with derived effective surface moduli, the 2D model can correctly describe the wave propagation.

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DOI:
Digital Object Identifier (open in new tab) 10.1016/j.ijengsci.2024.104135
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Category:
Articles
Type:
artykuły w czasopismach
Published in:
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE no. 204,
ISSN: 0020-7225
Language:
English
Publication year:
2024
Bibliographic description:
Eremeev V., Rosi G., Naili S.: On effective surface elastic moduli for microstructured strongly anisotropic coatings// INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE -,iss. 104135 (2024), s.1-8
DOI:
Digital Object Identifier (open in new tab) 10.1016/j.ijengsci.2024.104135
Sources of funding:
  • COST_FREE
Verified by:
Gdańsk University of Technology

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