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On Anti-Plane Surface Waves Considering Highly Anisotropic Surface Elasticity Constitutive Relations

Abstract

Within the framework of highly anisotropic surface elasticity model we discuss the propagation of new type of surface waves that are anti-plane surface waves. By the highly anisotropic surface elasticity model we mean the model with a surface strain energy density which depends on incomplete set of second derivatives of displacements. From the physical point of view this model corresponds to a coating made of a family of parallel long fibers which posses bending and extensional stiffness in one direction only. As for other models with surface energy there exist anti-plane surface waves. In the paper the dispersion relation is derived and dependence on the material parameters is analyzed.

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Details

Category:
Monographic publication
Type:
rozdział, artykuł w książce - dziele zbiorowym /podręczniku w języku o zasięgu międzynarodowym
Title of issue:
Wave Dynamics, Mechanics and Physics of Microstructured Metamaterials strony 1 - 9
Language:
English
Publication year:
2019
Bibliographic description:
Eremeev V.: On Anti-Plane Surface Waves Considering Highly Anisotropic Surface Elasticity Constitutive Relations// Wave Dynamics, Mechanics and Physics of Microstructured Metamaterials:Theoretical and Experimental Methods/ Cham: Springer, 2019, s.1-9
DOI:
Digital Object Identifier (open in new tab) 10.1007/978-3-030-17470-5_1
Verified by:
Gdańsk University of Technology

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