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A full bending gradient theory for thick plates

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Arthur Lebée
Karam Sab

Résumé

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. This is equivalent to assume a uniform shear deformation ea3 through the plate thickness. However this approach lead to a very poor approximation of transverse shear stress. In order to improve transverse shear stiffness estimation Reissner followed by Whitney introduced shear correction factors. These factors are widely used in FEM software such as Abaqus and have proven to be accurate enough for cylindrical bending cases. Whitney and Pagano assumption to restrain to cylindrical bending for deriving shear correction factors is fully justified, however we think relevant to keep all components of the bending moment Mab to built a new plate theory. The shear forces are then modelled by the full gradient of the bending moment inthis new plate theory.
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Dates et versions

hal-00921606 , version 1 (20-12-2013)

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  • HAL Id : hal-00921606 , version 1

Citer

Arthur Lebée, Karam Sab. A full bending gradient theory for thick plates. European Conference on Computational Mechanics IV, May 2010, France. ⟨hal-00921606⟩

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