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Non-local elastic plate theories

2007; Royal Society; Volume: 463; Issue: 2088 Linguagem: Inglês

10.1098/rspa.2007.1903

1471-2946

Pin Lü, P. Q. Zhang, H.P Lee, C.M. Wang, J. N. Reddy,

Thermoelastic and Magnetoelastic Phenomena

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.