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 antiplane 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.

On nonlocal surface elasticity and propagation of surface anti-plane waves

Eremeyev V. A.
2017-01-01

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 antiplane 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.
2017
978-3-319-56049-6
978-3-319-56050-2
Anti-plane waves; Nth-order strain gradient elasticity; Strain gradient elasticity; Surface elasticity; Surface waves
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/308444
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