Closed-form solution for circular microstructure-dependent Mindlin plates

Anssi T. Karttunen*, J. N. Reddy, Jani Romanoff

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

9 Citations (Scopus)
108 Downloads (Pure)


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.

Original languageEnglish
Pages (from-to)323–331
Number of pages9
JournalActa Mechanica
Issue number1
Early online date22 Sept 2016
Publication statusPublished - 2017
MoE publication typeA1 Journal article-refereed


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