Closed-form solution for circular microstructure-dependent Mindlin plates

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Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Date
2017
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Mcode
Degree programme
Language
en
Pages
9
323–331
Series
ACTA MECHANICA, Volume 228, issue 1
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.
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Karttunen , A T , Reddy , J N & Romanoff , J 2017 , ' Closed-form solution for circular microstructure-dependent Mindlin plates ' , Acta Mechanica , vol. 228 , no. 1 , pp. 323–331 . https://doi.org/10.1007/s00707-016-1702-6