Axisymmetric deformation of compressible, nearly incompressible, and incompressible thin layers between two rigid surfaces



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.

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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
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