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

被引：2

作者：

Xu Hui ^{[2
]}

Chen Li-Hua ^{[3
]}

Mo Jia-Qi ^{[1
]}

机构：

[1] Anhui Normal Univ, Dept Math, Wuhu 241003, Peoples R China

[2] Anhui Univ Finance & Econ, Sch Stat & Appl Math, Bengbu 233030, Peoples R China

[3] Fujian Normal Univ, Fuqing Branch, Dept Math & Comp Sci, Fuqing 350300, Peoples R China

来源：

ACTA PHYSICA SINICA | 2011年 / 60卷 / 10期

基金：

中国国家自然科学基金;

关键词：

thin plate bend; deflexion; asymptotic solution;

D O I：

10.7498/aps.60.100201

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：6

共 12 条

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