Non-local elastic plate theories-Reference-Cited by-同舟云学术

Non-local elastic plate theories

Published:2007-09-25 Issue:2088 Volume:463 Page:3225-3240
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Lu Pin¹²,Zhang P.Q¹,Lee H.P²³,Wang C.M³,Reddy J.N³

Affiliation:

1. Department of Modern Mechanics, University of Science and Technology of ChinaHefei, Anhui 230027, People's Republic of China

2. Institute of High Performance Computing1 Science Park Road, 01-01 The Capricorn, Science Park II, Singapore 117528, Republic of Singapore

3. Engineering Science Programme, National University of SingaporeBlock E3A, 04-17, 7 Engineering Drive 1, Singapore 117574, Republic of Singapore

Abstract

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.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2007.1903

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