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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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Keywords
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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