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Abstract
We consider anti-plane motions of an elastic plate taking into account surface energy within the linear Gurtin–Murdoch surface elasticity. Two boundary-value problems are considered that describe complete shear dynamics of a plate with free faces or with free and clamped faces, respectively. These problems correspond to anti-plane dynamics of an elastic film perfectly or non-perfectly attached to a rigid substrate. Detailed analysis of dispersion relations is provided. In particular, the influence of the ratio of a plate thickness to characteristic length on the dispersion curves is analysed.
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Authors (3)
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Marina Botogova Dr
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- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1098/rsta.2021.0373
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
no. 380,
pages 1 - 15,
ISSN: 1364-503X - Language:
- English
- Publication year:
- 2022
- Bibliographic description:
- Mikhasev G., Botogova M., Eremeev V.: Anti-plane waves in an elastic thin strip with surface energy// PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES -,iss. 2231 (2022), s.1-15
- DOI:
- Digital Object Identifier (open in new tab) 10.1098/rsta.2021.0373
- Verified by:
- Gdańsk University of Technology
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