 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| S. Deep, R. Goyal, and V. Sharma, "Dispersion of Rayleigh Waves in an Elastic Layer Imperfectly Attached to a Microcontinuum Substrate," Mech. Solids. 57 (4), 870-882 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
4 |
Pages |
870-882 |
| DOI |
10.3103/S0025654422040069 |
| Title |
Dispersion of Rayleigh Waves in an Elastic Layer Imperfectly Attached to a Microcontinuum Substrate |
| Author(s) |
S. Deep (Department of Mathematics, Lovely Professional University, Phagwara, Punjab 144411, India, shikhathakur493@gmail.com)
R. Goyal (Department of Mathematics, Multani Mal Modi College, Patiala, Punjab 147001, India, richagoyal705@gmail.com)
V. Sharma (Department of Mathematics, Lovely Professional University, Phagwara, Punjab 144411, India, vikassharma10a@yahoo.co.in, vikas.sharma@lpu.co.in) |
| Abstract |
The problem of Rayleigh waves is investigated in an isotropic elastic layer imperfectly bonded to a size-dependent substrate. The substrate is modeled using size-dependent consistent couple stress theory which involves an additional length-scale parameter called characteristic length (l), besides the Lame's parameters of classical theory. The role of internal microstructures in defining the behavior of material at macroscopic level is captured through characteristic length parameter (l). Dispersion equation for the propagation of Rayleigh waves in considered geometry is obtained by using appropriate boundary conditions. Dispersion relation for the propagation of Rayleigh waves, when layer and substrate are in perfect contact has been established, as a special case. The dispersion equation of Rayleigh waves in a consistent couple stress substrate using stress-free conditions is also obtained. The role of imperfectness parameters, thickness of the layer and microstructural parameter of the substrate has been depicted on the dispersion behavior of Rayleigh waves. |
| Keywords |
Rayleigh waves, consistent couple stress theory, characteristic length, imperfect interface |
| Received |
14 March 2022 | Revised |
26 April 2022 | Accepted |
27 April 2022 |
| Link to Fulltext |
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