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

  • Victor A. EremeyevEmail author
Chapter
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 109)

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.

Notes

Acknowledgements

The author acknowledges financial support from the Russian Science Foundation under the grant “Methods of microstructural nonlinear analysis, wave dynamics and mechanics of composites for research and design of modern metamaterials and elements of structures made on its base” (No. 15-19-10008-P).

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Faculty of Civil and Environmental EngineeringGdańsk University of TechnologyGdańskPoland
  2. 2.Southern Federal UniversityRostov on DonRussia
  3. 3.Southern Scientific Center of RASciRostov on DonRussia

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