Non-local elastic plate theories

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
Citation:	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
Appears in Collections:	Staff Publications

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