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gdzierzanowski-2010-mBounds on the effective isotropic moduli of thin elastic composite plates, G. Dzierżanowski
Arch. Mech., 62, 4, pp. 253–281, Warszawa 2010
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The main aim of this paper is to estimate the effective moduli of an isotropic elastic composite, analyzed within the framework of the Kirchhoff-Love theory of thin plates in bending. Results of calculations provide explicit functional correlations between the homogenized properties of a composite plate made of two isotropic materials, thus yielding more restrictive bounds on pairs of effective moduli than the classical (uncoupled)
Hashin–Shtrikman–Walpole ones. Applying the static-geometric analogy of
Lurie and Goldenveizer, enables rewriting of these new bounds in the two-dimensional elasticity (plane stress) setting, thus revealing a link to the formulae previously found by Gibiansky and Cherkaev. Consequently, simple cross-property estimates are proposed for the plate subject to the simultaneous bending and in-plane loads.
 

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