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Comparison of anti-plane surface waves in strain-gradient materials and materials with surface stresses
Abstract
Here we discuss the similarities and differences in anti-plane surface wave propagation in an elastic half-space within the framework of the theories of Gurtin–Murdoch surface elasticity and Toupin–Mindlin strain-gradient elasticity. The qualitative behaviour of the dispersion curves and the decay of the obtained solutions are quite similar. On the other hand, we show that the solutions relating to the surface elasticity model are more localised near the free surface. For the strain-gradient elasticity model there is a range of wavenumbers where the amplitude of displacements decays very slowly.
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Authors (3)
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Giuseppe Rosi Dr
- Université Paris-Est, Laboratoire Modélisation et Simulation Multi Echelle, MSME UMR 8208 CNRS, 61 Avenue du Géneral de Gaulle, Créteil 94010, France
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Salah Naili Prof. dr. hab.
- Laboratoire Modélisation et Simulation Multi Echelle, Université Paris-Est, Créteil Cedex, France
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
MATHEMATICS AND MECHANICS OF SOLIDS
no. 24,
pages 2526 - 2535,
ISSN: 1081-2865 - Language:
- English
- Publication year:
- 2019
- Bibliographic description:
- Eremeev V., Rosi G., Naili S.: Comparison of anti-plane surface waves in strain-gradient materials and materials with surface stresses// MATHEMATICS AND MECHANICS OF SOLIDS. -Vol. 24, iss. 8 (2019), s.2526-2535
- DOI:
- Digital Object Identifier (open in new tab) 10.1177/1081286518769960
- Verified by:
- Gdańsk University of Technology
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