Non-local elastic plate theories

被引：251

作者：

Lu, Pin

Zhang, P. Q.

Lee, H. P.

Wang, C. M.

Reddy, J. N.

机构：

[1] Inst High Performance Comp, Singapore 117528, Singapore

[2] Univ Sci & Technol China, Dept Modern Mech, Hefei 230027, Anhui, Peoples R China

[3] Natl Univ Singapore, Engn Sci Programme, Singapore 117574, Singapore

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2007年 / 463卷 / 2088期

关键词：

non-local continuum mechanics; Kirchhoff plate theory; Mindlin plate theory; size effects; microelectromechanical systems; nanoelectromechanical systems;

D O I：

10.1098/rspa.2007.1903

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A non-local plate model is proposed based on Eringen's theory of non-local continuum mechanics. The basic equations for the non-local Kirchhoff and the Mindlin plate theories are derived. These non-local plate theories allow for the small-scale effect which becomes significant when dealing with micro-/nanoscale plate-like structures. As illustrative examples, the bending and free vibration problems of a rectangular plate with simply supported edges are solved and the exact non-local solutions are discussed in relation to their corresponding local solutions.

引用

页码：3225 / 3240

页数：16

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