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

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:214

Article

Movchan, Alexander B.¹  Rebrov, Kirill R.²  Rodin, Gregory J.^2,3 

[1] Univ Liverpool, Dept Math Sci, Liverpool L69 7ZL, Merseyside, England

[2] Univ Texas Austin, Oden Inst Computat Engn & Sci, Austin, TX 78712 USA

[3] Univ Texas Austin, Dept Aerosp Engn & Engn Mech, Austin, TX 78712 USA

关键词: Asymptotic analysis;    Thin layers;    Rigid plates;    Rigid spheres;   

DOI  :  10.1016/j.ijsolstr.2020.12.002

来源: Elsevier

【 摘 要 】

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. (C) 2020 Elsevier Ltd. All rights reserved.

【 授权许可】

Free