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Closed-form solution for circular microstructure-dependent Mindlin plates.
- Source :
-
Acta Mechanica . Jan2017, Vol. 228 Issue 1, p323-331. 9p. - Publication Year :
- 2017
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00015970
- Volume :
- 228
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Acta Mechanica
- Publication Type :
- Academic Journal
- Accession number :
- 120737923
- Full Text :
- https://doi.org/10.1007/s00707-016-1702-6