Movchan, Alexander B, Rebrov, Kirill R and Rodin, Gregory J
(2021)
Axisymmetric deformation of compressible, nearly incompressible, and
incompressible thin layers between two rigid surfaces.
International Journal of Solids and Structures, vol. 214-215, pp.
61-73, 2021, 214-21.
pp. 61-73.
Text
2102.07297v1.pdf - Author Accepted Manuscript Download (447kB) | Preview |
Abstract
Accurate asymptotic solutions are presented for axisymmetric deformation of thin layers constrained by either two rigid plates or two rigid spheres. Those solutions are developed using Saint-Venant's principle and the layer thinness as the only assumptions. The solutions are valid in the entire range of Poisson's ratios, and allow one to distinguish among compressible, nearly incompressible, and incompressible layers. That classification involves both material and geometric parameters.
Item Type: | Article |
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Additional Information: | 38 pages, 4 figures |
Uncontrolled Keywords: | math.AP, math.AP |
Divisions: | Faculty of Science and Engineering > School of Physical Sciences |
Depositing User: | Symplectic Admin |
Date Deposited: | 12 May 2021 09:31 |
Last Modified: | 18 Jan 2023 22:47 |
DOI: | 10.1016/j.ijsolstr.2020.12.002 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3122437 |