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Abstract
Within the new model of surface elasticity, the propagation of anti-plane surface waves is discussed. For the proposed model, the surface strain energy depends on surface stretching and on changing of curvature along a preferred direction. From the continuum mechanics point of view, the model describes finite deformations of an elastic solid with an elastic membrane attached on its boundary reinforced by a family of aligned elastic long flexible beams. Physically, the model was motivated by deformations of surface coatings consisting of aligned bar-like elements as in the case of hyperbolic metasurfaces. Using the least action variational principle, we derive the dynamic boundary conditions. The linearized boundary-value problem is also presented. In order to demonstrate the peculiarities of the problem, the dispersion relations for surface anti-plane waves are analysed. We have shown that the bending stiffness changes essentially the dispersion relation and conditions of anti-plane surface wave propagation.
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- Accepted or Published Version
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- Copyright (2019 The Author(s))
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Details
- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
-
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
no. 378,
pages 1 - 13,
ISSN: 1364-503X - Language:
- English
- Publication year:
- 2019
- Bibliographic description:
- Eremeev V.: Strongly anisotropic surface elasticity and antiplane surface waves// PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES -Vol. 378,iss. 2162 (2019), s.1-13
- DOI:
- Digital Object Identifier (open in new tab) 10.1098/rsta.2019.0100
- Verified by:
- Gdańsk University of Technology
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