Open AccessMatched asymptotic solution to a class of singularly perturbed thin plate bending problem
Author(s) -
Hui Xu,
Lihua Chen,
Mo Jia-Qi
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.100201
Subject(s) - method of matched asymptotic expansions , singular perturbation , asymptotic expansion , bending , boundary (topology) , bending of plates , boundary value problem , matching (statistics) , asymptotic analysis , mathematical analysis , class (philosophy) , boundary layer , materials science , order (exchange) , mathematics , mechanics , physics , composite material , computer science , finance , economics , statistics , artificial intelligence
The thin plate-bending problem is studied. Introducing the stretched variables, the internal layer solutions near the boundary are constructed for the fourth order singularly perturbed boundary problem. Then matching the solutions with outer solution and using the theory of the composite expansion, the asymptotic solution is obtained finally.