%0 Journal Article
%T On the Generalization of Reissner Plate Theory to Laminated Plates, Part II: Comparison with the Bending-Gradient Theory
%+ Laboratoire Navier (navier umr 8205)
%+ Matériaux et Structures Architecturés (msa)
%A Lebée, Arthur
%A Sab, Karam
%< avec comité de lecture
%@ 0374-3535
%J Journal of Elasticity
%I Springer Verlag
%V 126
%N 1
%P 67 - 94
%8 2017-01
%D 2017
%R 10.1007/s10659-016-9580-7
%K Thick plate theory
%K Higher-order models
%K Laminated plates
%K Functionally graded plates
%K Sandwich panels
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph]Journal articles
%X In the first part of this two-part paper (Lebée and Sab in On the generalization of Reissner plate theory to laminated plates, Part I: theory, doi: 10.1007/s10659-016-9581-6, 2015), the original thick plate theory derived by Reissner (J. Math. Phys. 23:184–191, 1944) was rigorously extended to the case of laminated plates. This led to a new plate theory called Generalized-Reissner theory which involves the bending moment, its first and second gradients as static variables. In this second paper, the Bending-Gradient theory (Lebée and Sab in Int. J. Solids Struct. 48(20):2878–2888, 2011 and 2889–2901, 2011) is obtained from the Generalized-Reissner theory and several projections as a Reissner–Mindlin theory are introduced. A comparison with an exact solution for the cylindrical bending of laminated plates is presented. It is observed that the Generalized-Reissner theory converges faster than the Kirchhoff theory for thin plates in terms of deflection. The Bending-Gradient theory does not converge faster but improves considerably the error estimate.
%G English
%L hal-01691087
%U https://enpc.hal.science/hal-01691087
%~ ENPC
%~ CNRS
%~ UR-NAVIER
%~ PARISTECH
%~ IFSTTAR
%~ UNIV-EIFFEL
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