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

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Kafr El-Sheikh University, Kafr El-Sheikh, 33516, Egypt

    Ashraf M. Zenkour & M. Sobhy

  2. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

    M. N. M. Allam

Authors
  1. Ashraf M. Zenkour
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  2. M. N. M. Allam
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  3. M. Sobhy
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Correspondence to Ashraf M. Zenkour.

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Zenkour, A.M., Allam, M.N.M. & Sobhy, M. Bending of a fiber-reinforced viscoelastic composite plate resting on elastic foundations. Arch Appl Mech 81, 77–96 (2011). https://doi.org/10.1007/s00419-009-0396-9

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  • DOI: https://doi.org/10.1007/s00419-009-0396-9

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