Bending of a fiber-reinforced viscoelastic composite plate resting on elastic foundations

Composite structures on an elastic foundation are being widely used in engineering applications. Bending response of inhomogeneous viscoelastic plate as a composite structure on a two-parameter (Pasternak’s type) elastic foundation is investigated. The formulations are based on sinusoidal shear defo...

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Bibliographic Details
Published in:Archive of applied mechanics (1991) 2011-01, Vol.81 (1), p.77-96
Main Authors: Zenkour, Ashraf M., Allam, M. N. M., Sobhy, M.
Format: Article
Language:English
Subjects:
Bending
Classical Mechanics
Composite structures
Engineering
Foundations
Mathematical models
Original
Plate theory
Plates (structural members)
Shear
Theoretical and Applied Mechanics
Viscoelasticity
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Summary:Composite structures on an elastic foundation are being widely used in engineering applications. Bending response of inhomogeneous viscoelastic plate as a composite structure on a two-parameter (Pasternak’s type) elastic foundation is investigated. The formulations are based on sinusoidal shear deformation plate theory. Trigonometric terms are used in the present theory for the displacements in addition to the initial terms of a power series through the thickness. The transverse shear correction factors are not needed because a correct representation of the transverse shear strain is given. The interaction between the plate and the foundation is included in the formulation with a two-parameter Pasternak’s model. The effective moduli and Illyushin’s approximation methods are used to derive the viscoelastic solution. The effects played by foundation stiffness, plate aspect ratio, and other parameters are presented.
ISSN:0939-1533
1432-0681
DOI:10.1007/s00419-009-0396-9