Wave transmission across surface interfaces in lattice structures

Abstract

Within the lattice dynamics formulation, we present an exact solution for anti-plane surface waves in a square lattice strip with a surface row of material particles of two types separated by a linear interface. The considered problem is a discrete analog of an elastic half-space with surface stresses modelled through the simplified Gurtin-Murdoch model, where we have an interfacial line separating areas with different surface elastic properties. The main attention is paid to the transmittance and the reflectance of a wave across the interface. The presented results shed a light on the influence on surface waves of surface inhomogeneity in surface elastic properties such as grain and subgrain boundaries.

References in corpus (2)

• Infrared hyperbolic metasurface based on nanostructured van der Waals materials
• Continuum limit of discrete Sommerfeld problems on square lattice

Cited by in corpus (4)

• Scattering under Linear Non Self-Adjoint Operators: Case of in-Plane Elastic Waves
• Scattering on square lattice from crack with damage zone
• Transmission of waves across atomic step discontinuities in discrete nanoribbon structures
• Discrete scattering by two staggered semi-infinite defects: reduction of matrix Wiener-Hopf problem