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Stability Loss and Buckling Delamination pp 135–267Cite as

Buckling Delamination of Elastic and Viscoelastic Composite Plates with Cracks

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Abstract

The present chapter deals with problems related to buckling delamination of elastic and viscoelastic plates. Both the continuum and the piecewise homogeneous body models are employed to describe the plate materials. It is assumed that the plates contain a crack, the edges of which have an initial infinitesimal imperfection. It is also assumed that under the absence of the mentioned imperfections, the crack’s edges are parallel to the free-face planes of the plate. Within these assumptions, the evolution of the initial infinitesimal imperfection is studied under compression of the plate. This study is performed with the use of the three-dimensional geometrically non-linear equations of the theory of viscoelasticity for anisotropic (orthotropic) bodies. Results related to plane-strain state, axi-symmetric and three-dimensional buckling delamination problems are presented and discussed. The initial imperfection criterion is used for determination of the values of the critical parameters. For the solution to the corresponding non-linear boundary value problems the boundary form perturbation technique, Laplace transformation with respect to time and FEM are employed. To describe the viscoelasticity of the plate materials, the fractional-exponential operator is used.

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Authors and Affiliations

  1. Faculty of Mechanics, Yildiz Technical University, Barbaros Bulvari, 34349, Yildiz, Turkey

    Surkay Akbarov

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  1. Surkay Akbarov
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Correspondence to Surkay Akbarov .

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Akbarov, S. (2013). Buckling Delamination of Elastic and Viscoelastic Composite Plates with Cracks. In: Stability Loss and Buckling Delamination. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30290-9_4

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  • DOI: https://doi.org/10.1007/978-3-642-30290-9_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-30289-3

  • Online ISBN: 978-3-642-30290-9

  • eBook Packages: EngineeringEngineering (R0)

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