Journal
MATHEMATICS AND MECHANICS OF SOLIDS
Volume 24, Issue 8, Pages 2526-2535Publisher
SAGE PUBLICATIONS LTD
DOI: 10.1177/1081286518769960
Keywords
Strain-gradient elasticity; SH waves; anti-plane waves; surface waves; surface stresses
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Funding
- Laboratoire International Associe Coss&Vita via Federation Francilienne de Mecanique, CNRS FR2609
- Universite Paris-Est, France [15R03051A-METCARMAT]
- CNRS, France [15R03051A-METCARMAT]
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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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