Closed-form solution for circular microstructure-dependent Mindlin plates
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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9
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Acta Mechanica, Volume 228, issue 1, pp. 323–331
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.Description
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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