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Surface and interfacial anti-plane waves in micropolar solids with surface energy

Abstract

In this work, the propagation behaviour of a surface wave in a micropolar elastic half-space with surface strain and kinetic energies localized at the surface and the propagation behaviour of an interfacial anti-plane wave between two micropolar elastic half-spaces with interfacial strain and kinetic energies localized at the interface have been studied. The Gurtin–Murdoch model has been adopted for surface and interfacial elasticity. Dispersion equations for both models have been obtained in algebraic form for two types of anti-plane wave, i.e. a Love-type wave and a new type of surface wave (due to micropolarity). The angular frequency and phase velocity of anti-plane waves have been analysed through a numerical study within cut-off frequencies. The obtained results may find suitable applications in thin film technology, non-destructive analysis or biomechanics, where the models discussed here may serve as theoretical frameworks for similar types of phenomena.

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Category:
Articles
Type:
artykuły w czasopismach
Published in:
MATHEMATICS AND MECHANICS OF SOLIDS no. 26, pages 708 - 721,
ISSN: 1081-2865
Language:
English
Publication year:
2021
Bibliographic description:
Chaki M. S., Eremeev V., Singh A. K.: Surface and interfacial anti-plane waves in micropolar solids with surface energy// MATHEMATICS AND MECHANICS OF SOLIDS -Vol. 26,iss. 5 (2021), s.708-721
DOI:
Digital Object Identifier (open in new tab) 10.1177/1081286520965646
Verified by:
Gdańsk University of Technology

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