Bounds on the effective isotropic moduli of thin elastic composite plates

• Autorzy: Dzierżanowski G.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

microstructures; inhomogeneous material; plates; optimization; translation method

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2010
• Tom: Vol. 62, nr 4
• Strony: 253--281
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Dzierżanowski G.

• Warsaw University of Technology Faculty of Civil Engineering al Armii Ludowej 16 00-637 Warszawa. Poland,

Bibliografia

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