Journal
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 463, Issue 2088, Pages 3225-3240Publisher
ROYAL SOC
DOI: 10.1098/rspa.2007.1903
Keywords
non-local continuum mechanics; Kirchhoff plate theory; Mindlin plate theory; size effects; microelectromechanical systems; nanoelectromechanical systems
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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.
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