Issue |
MATEC Web Conf.
Volume 226, 2018
XIV International Scientific-Technical Conference “Dynamic of Technical Systems” (DTS-2018)
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Article Number | 03020 | |
Number of page(s) | 5 | |
Section | 3 Issues of creation and mechanics of heterogeneous and composite materials | |
DOI | https://doi.org/10.1051/matecconf/201822603020 | |
Published online | 07 November 2018 |
On the peculiarities of anti-plane surface waves propagation for media with microstructured coating
1 Gdańsk University of Technology, Faculty of Civil and Environmental Engineering, Gdańsk, 80-233 Poland
2 Southern Federal University, Institute of Mathematics, Mechanics and Computer Science, Rostov-on-Don, 344090 Russia
* Corresponding author: victor.eremeev@pg.edu.pl, eremeyev.victor@gmail.com
We discuss new type of surface waves which exist in elastic media with surface energy. Here we present the model of a coating made of polymeric brush. From the physical point of view the considered model of surface elasticity describes a highly anisotropic surface coating. Here the surface energy model could be treated as 2D reduced strain gradient continuum as surface strain energy depends on few second spatial derivatives of displacements. From the mechanical point of view the proposed model relates to 2D coating made of long fibers undergoing stretching and bending deformations. We consider here anti-plane surface waves. The dispersion relation is derived and its dependence on the material parameters is analysed.
© The Authors, published by EDP Sciences, 2018
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