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On Stability of Elastic Rectangular Sandwich Plate Subject to Biaxial Compression

  • Denis SheydakovEmail author
Chapter
Part of the Advanced Structured Materials book series (STRUCTMAT, volume 15)

Abstract

In the present paper, in the framework of a general stability theory for three-dimensional bodies the buckling analysis has been carried out for a rectangular sandwich plate subject to biaxial compression. The sandwich plate consists of a porous core, covered by a hard and stiff shell. The behavior of a coating is investigated in the framework of a classic (non-polar) continuum model, while to describe the properties of a core the Cosserat continuum model is used. Using the linearization method in the vicinity of a basic state, the neutral equilibrium equations have been derived, which describe the perturbed state of a sandwich plate. The linearized boundary-value problems have been formulated both for a case of a general sandwich plate and for a sandwich plate with identical top and bottom coatings. By solving these problems numerically for some specific materials, the critical curves and corresponding buckling modes can be found, and the stability regions can be constructed in the plane of loading parameters (relative axial compressions).

Keywords

Buckling analysis Sandwich plate Biaxial compression 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.South Scientific Center of Russian Academy of SciencesRostov-on-DonRussia

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