An asymptotic theory of composite plates is constructed using the variational asymptotic method. To maximize simplicity and promote efficiency of the developed model, a transformation procedure is required to establish a mathematical link between an asymptotically correct energy functional derived herein and a simpler engineering model, such as a generalized Reissner–Mindlin model. Without relaxing the warping constraints and performing “smart minimization” or optimization procedures introduced in previous work, a different approach is suggested in this paper. To eliminate all partial derivatives of the 2D generalized strains in the asymptotically correct energy functional, a hybrid transformation procedure is systematically carried out by involving modified equilibrium and compatibility equations, and solving a system of linear algebraic equations via the pseudo-inverse method. Equivalent constitutive laws for the generalized Reissner–Mindlin plate model are then estimated. Several examples as a preliminary validation are used to demonstrate the capability and accuracy of this new model.
Hybrid Transformation to a Generalized Reissner–Mindlin Theory for Composite Plates
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received March 24, 2015; final manuscript received May 27, 2015; published online June 19, 2015. Assoc. Editor: Taher Saif.
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Lee, C., and Hodges, D. H. (September 1, 2015). "Hybrid Transformation to a Generalized Reissner–Mindlin Theory for Composite Plates." ASME. J. Appl. Mech. September 2015; 82(9): 091005. https://doi.org/10.1115/1.4030740
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