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A new approach to plate theory based on through‐thickness homogenization

International Journal for Numerical Methods in Engineering, 2010
AbstractA new approach to linear plate theory for layered structures is introduced. The new theory distances itself from the classical strategy where through the thickness displacement functions are assumed a priori. Instead, the homogenization is based on a single assumption that the plate response is a superposition of fundamental states.
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On a generalization of some formulas of the theory of “moderately thick” elastic plates

International Journal of Solids and Structures, 1987
We first restate formulas for stresses and stress couples of a theory of isotropic moderately thick plates in the classical texts of Love and of Timoshenko in simplified form. We then use recent results for a two- dimensional twelfth-order plate theory, to derive a generalization of the classical formulas such that the results for the isotropic case ...
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A full bending gradient theory for thick plates

2010
Since the wide acceptation of Reissner-Mindlin plate theory, the derivation of a constitutive equation for the transverse shear behavior of heterogenous plates has risen many difficulties. A first proposal for laminates was to take the average of transverse shear stiffness as constitutive equation.
Lebée, Arthur, Sab, Karam
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Thick/Thin Plates. Reissner-Mindlin Theory

2013
Kirchhoff plate elements studied in the previous chapter are restricted to thin plate situations only (thickness/average side ≤ 0.10). Also the C 1 continuity requirement for Kirchhoff elements poses severe difficulties for deriving a conforming deflection field.
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A novel approach to thick plate theory suggested by studies in foundation theory

International Journal of Mechanical Sciences, 1984
A new approach to the statics of thick, elastic plates is presented. This approach to thick plate theory incorporates transverse normal stress and strain effects as well as those due to transverse shear deformation. The unusual boundary value problem resulting from the kinematic assumptions of this approach is obtained as a consequence of the principle
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Analysis of Thick Laminated Composite Plates on an Elastic Foundation with the Use of Various Plate Theories

Mechanics of Composite Materials, 2005
In this study, various theories of composite laminated plates are extended to rectangular composite laminates resting on an elastic foundation. First, an analysis based on the classical theory of laminated plates is employed. Then the first-order Reissner-Mindlin theory is used for analyzing the laminates.
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The Bending gradient theory for thick and heterogenous plates

2013
Présentation pour la réception du prix Daniel Valentin de l'Association pour les MAtériaux Composites (AMAC)
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Thick plate bending analysis using a single variable simple plate theory

Materials Today: Proceedings, 2022
Rajesh A Shetty
exaly  

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