Two-parameter asymptotic approximations in the analysis of a thin solid fixed on a small part of its boundary |
| |
| Authors: | Zalipaev V V; Movchan A B; Jones I S |
| |
| Institution: | (
Department of Mathematical Sciences, University of Liverpool, Liverpool L69 3BX, UK
) |
| |
| Abstract: | Planar elasticity problems are considered for thin domains fixedalong a small part of the end region boundary. The analysisinvolves two small parameters: the normalized thickness of thebody and the normalized length of the fixed part of the boundary.The aim of the paper is to derive an asymptotic approximationof the solution to a boundary-value problem in such a domainand, in particular, analyze the ‘effective boundary conditions’,which occur for the leading-order terms of the asymptotics.We include applications for problems of both anti-plane shearand plane strain elasticity. |
| |
| Keywords: | |
| 本文献已被 Oxford 等数据库收录！ |
|
