Wave transmission across surface interfaces in lattice structures

Basant Sharma; Victor Eremeev

doi:10.1016/j.ijengsci.2019.103173

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.

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Authors (2)

Basant Sharma Prof
- Department of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur 208016, India
Victor Eremeev prof. dr hab.

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Keywords

LATTICE DYNAMICSSURFACE ELASTICITYSURFACE WAVESANTI-PLANE SHEARSURFACE INTERFACE

Details

Category:: Articles
Type:: artykuły w czasopismach
Published in:: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE pages 1 - 16,
ISSN: 0020-7225
Language:: English
Publication year:: 2019
Bibliographic description:: Sharma B., Eremeev V.: Wave transmission across surface interfaces in lattice structures// INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE -, (2019), s.1-16
DOI:: Digital Object Identifier (open in new tab) 10.1016/j.ijengsci.2019.103173
Verified by:: Gdańsk University of Technology