Extremely small size of nano-structures such as beams, sheets and
plates, which are commonly used as components in Nanoelectromechanical Systems
(NEMS), presents a significant challenge to the researchers of nano-mechanics.
Several studies have been developed on the mechanical behavior of nano-sized
bars, tubes, sheets and plates. The results of these studies show that the
elastic modulii of such nano-structural elements depend on their size.
Unfortunately, classical elasticity lacks an intrinsic length scale and thus
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