Wave transmission across surface interfaces in lattice structures
Classical Physics
2023-12-21 v1
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.
Cite
@article{arxiv.1909.06954,
title = {Wave transmission across surface interfaces in lattice structures},
author = {Basant Lal Sharma and Victor A. Eremeyev},
journal= {arXiv preprint arXiv:1909.06954},
year = {2023}
}