Closed-form solution for circular microstructure-dependent Mindlin plates Academic Article uri icon


  • 2016, Springer-Verlag Wien. In this paper, we derive a general closed-form solution for the static, axisymmetric bending of solid and annular microstructure-dependent Mindlin plates based on the modified couple-stress theory. The solution is developed by employing a suitable change in displacement variables. The couple-stress solution contains modified Bessel functions which do not appear in the classical case. The stress distributions of the annular microstructure-dependent plate are obtained in terms of load resultants by using the general closed-form solution. Analytical and numerical examples considering solid and annular circular plates are presented. The examples include simply supported and clamped solid and annular plates subjected to a uniformly distributed load and annular plates attached to a point-loaded rigid shaft.

published proceedings


author list (cited authors)

  • Karttunen, A. T., Reddy, J. N., & Romanoff, J.

citation count

  • 9

complete list of authors

  • Karttunen, Anssi T||Reddy, JN||Romanoff, Jani

publication date

  • January 2017