Journal
APPLIED MATHEMATICAL MODELLING
Volume 33, Issue 8, Pages 3450-3464Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2008.11.022
Keywords
Finite element; Cosserat theory; Micropolar theory; Characteristic length; Layered plate; Discrete element method
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In this paper, a full three-dimensional (3D) finite element Cosserat formulation is developed within the principles of continuum mechanics in the small deformation framework. The developed finite element formulation is general; however, the proposed constitutive laws incorporate the effect of the internal length parameter of 3D layered continua. The extension of the existing two-dimensional (2D) Cosserat formulation to the 3D framework is novel and is consistent with plate theory which can be considered as the 3D version of beam theory. The results demonstrate a high level of consistency with the analytical solutions predicted by plate theory as well as predictions by alternative numerical techniques such as the discrete element method. (C) 2008 Published by Elsevier Inc.
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