Please use this identifier to cite or link to this item: https://doi.org/10.1098/rspa.2007.1903
Title: Non-local elastic plate theories
Authors: Lu, P.
Zhang, P.Q.
Lee, H.P. 
Wang, C.M. 
Reddy, J.N. 
Keywords: Kirchhoff plate theory
Microelectromechanical systems
Mindlin plate theory
Nanoelectromechanical systems
Non-local continuum mechanics
Size effects
Issue Date: 8-Dec-2007
Source: Lu, P., Zhang, P.Q., Lee, H.P., Wang, C.M., Reddy, J.N. (2007-12-08). Non-local elastic plate theories. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463 (2088) : 3225-3240. ScholarBank@NUS Repository. https://doi.org/10.1098/rspa.2007.1903
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. © 2007 The Royal Society.
Source Title: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
URI: http://scholarbank.nus.edu.sg/handle/10635/60897
ISSN: 13645021
DOI: 10.1098/rspa.2007.1903
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