Non-local elastic plate theories

作者：Lu Pin^*; Zhang P Q; Lee H P; Wang C M; Reddy J N

来源：Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences, 2007, 463(2088): 3225-3240.

DOI：10.1098/rspa.2007.1903

• non-local continuum mechanics
• Kirchhoff plate theory
• Mindlin plate theory
• size effects
• microelectromechanical systems
• nanoelectromechanical systems

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.

• 出版日期2007-12-8
• 单位中国科学技术大学