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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.
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Authors (2)
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Basant Lal Sharma
- Indian Institute of Technology Kanpur, Kanpur 208016, India Department of Mechanical Engineering
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
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INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
pages 33 - 38,
ISSN: 0020-7225 - Language:
- English
- Publication year:
- 2019
- Bibliographic description:
- Eremeev V., Sharma B.: Anti-plane surface waves in media with surface structure: Discrete vs. continuum model// INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE. -, (2019), s.33-38
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.ijengsci.2019.06.007
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