Work

Anti-plane surface waves in media with surface structure: Discrete vs. continuum model

Year: 2019

Type: article

Abstract: We present a comparison of the dispersion relations derived for anti-plane surface waves using the two distinct approaches of the surface elasticity vis-a-vis the lattice dynamics . We consider an elastic half-space with surface stresses described within the Gurtin–Murdoch model, and present a formulation of its discrete counterpart that is a square lattice half-plane with surface row of particles having mass and elastic bonds different from the ones in the bulk. As both models possess anti-plane surface waves we discuss similarities between the continuum and discrete viewpoint. In particular, in the context of the behaviour of phase velocity , we discuss the possible characterization of the surface shear modulus through the parameters involved in lattice formulation.

Source: International Journal of Engineering Science

DOI: 10.1016/j.ijengsci.2019.06.007

Authors: Victor A. Eremeyev, Basant Lal Sharma

Institutions: Gdańsk University of Technology, Don State Technical University, Indian Institute of Technology Kanpur

Language: English

Topic: Nonlocal and gradient elasticity in micro/nano structures

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,500

Funders: Government Council on Grants, Russian Federation, Science and Engineering Research Board