Matched asymptotic solution to a class of singularly perturbed thin plate bending problem | Zendy

Lihua Chen | Zendy; Hui Xu | Zendy; Mo Jia-Qi | Zendy

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Matched asymptotic solution to a class of singularly perturbed thin plate bending problem

Author(s) -

Lihua Chen,

Hui Xu,

Mo Jia-Qi

Publication year - 2011

Publication title -

acta physica sinica

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.

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