Journal
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
Volume 51, Issue -, Pages 292-309Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijengsci.2011.08.013
Keywords
Modified couple stress theory; Geometrical nonlinearity; Micro-plate; Non-classical continuum theory
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The couple stress theory is a non-classical continuum theory which is capable to capture size effects in small-scale structures. This property makes it appropriate for modeling the structures in micron and sub-micron scales. The purpose of this paper is the derivation of the governing motion equations and boundary conditions for the geometrically nonlinear micro-plates with arbitrary shapes based on the modified version of the couple stress theory. The consistent boundary conditions are provided at smooth parts of the plate periphery and also at the sharp corners of the periphery using variational approach. (C) 2011 Elsevier Ltd. All rights reserved.
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