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On Nonlocal Surface Elasticity and Propagation of Surface Anti-Plane Waves

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Book cover Mechanics for Materials and Technologies

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 46))

Abstract

We discuss the nonlocal model of surface elasticity that is the model with surface energy density which depends on first and higher gradients of displacements. To demonstrate the peculiarities of the model we consider the propagation of anti-plane surface waves in an elastic halfspace with the surface energy. Using the least action principle we derive the governing equations for the problem. Analyzing the anti-plane deformations we obtain the dispersion relation and analyze its dependence on surface elastic moduli and on the order of considered gradients.

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Correspondence to Victor A. Eremeyev .

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Eremeyev, V.A. (2017). On Nonlocal Surface Elasticity and Propagation of Surface Anti-Plane Waves. In: Altenbach, H., Goldstein, R., Murashkin, E. (eds) Mechanics for Materials and Technologies. Advanced Structured Materials, vol 46. Springer, Cham. https://doi.org/10.1007/978-3-319-56050-2_7

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  • DOI: https://doi.org/10.1007/978-3-319-56050-2_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-56049-6

  • Online ISBN: 978-3-319-56050-2

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