Abstract
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 language | English |
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Pages (from-to) | 323–331 |
Number of pages | 9 |
Journal | ACTA MECHANICA |
Volume | 228 |
Issue number | 1 |
Early online date | 22 Sept 2016 |
DOIs | |
Publication status | Published - 2017 |
MoE publication type | A1 Journal article-refereed |