Study of linear isotropic micro-polar plate in an asymptotic approach

被引：5

作者：

Bhattacharyya, A. ^{[1
]}

Mukhopadhyay, B. ^{[1
]}

机构：

[1] Bengal Engn & Sci Univ, Dept Math, Sibpur 711103, Howrah, India

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2013年 / 66卷 / 06期

关键词：

Micro-polar continuum; Asymptotic approach; Plate theory; Extensional motion; Flexural motion; ELASTIC-CONSTANTS; EQUATIONS; THEOREMS; STRESS; SHELLS; QUEST; MODEL;

D O I：

10.1016/j.camwa.2013.07.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Linear micro-polar plate theory in an asymptotic approach is a two-dimensional approximation of three dimensional Cosserat theory. It was originally developed by Eringen. The current paper deals with the study of this type of plate theory with some modifications and an attempt has been made to develop a higher-order plate theory, especially third-order plate theory and to express the solution of the plate equations under that theory as a function of the solution of the equations of first-order micro-polar plate theory, which have already been well-discussed. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：1047 / 1057

页数：11