Non-local elastic plate theories Academic Article uri icon

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.

author list (cited authors)

  • Lu, P., Zhang, P. Q., Lee, H. P., Wang, C. M., & Reddy, J. N.

citation count

  • 204

publication date

  • September 2007