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2013 | OriginalPaper | Buchkapitel

Buckling of Inhomogeneous Circular Plate of Micropolar Material

verfasst von : Denis N. Sheydakov

Erschienen in: Generalized Continua as Models for Materials

Verlag: Springer Berlin Heidelberg

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Abstract

The present research is dedicated to the stability analysis of nonlinearly elastic highly porous plates. The mechanical properties and behavior of these plates are described using the model of an inhomogeneous micropolar (Cosserat) medium. Such approach allows for a more precise modeling and detailed analysis of the buckling process for constructional elements made of highly porous materials. In the framework of a general stability theory for three-dimensional bodies, we have studied the stability of a circular micropolar plate subject to radial compression. It is assumed that elastic properties of the plate vary through the thickness. Using the linearization method in a vicinity of a basic state, the neutral equilibrium equations are derived, which describe the perturbed state of a plate. For a special case of axisymmetric buckling modes this linearized equilibrium equations are reduced to the system of three ordinary differential equations. It is also shown that if elastic properties of a plate are symmetric through the thickness then the stability analysis is reduced to solving two independent linear homogeneous boundary-value problems for the half-plate.

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Vorheriges Kapitel Nonlinear Generalizations of the Born-Huang Model and Their Continuum Limits

Nächstes Kapitel A Theory of Disclination and Dislocation Fields for Grain Boundary Plasticity

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Titel: Buckling of Inhomogeneous Circular Plate of Micropolar Material
verfasst von: Denis N. Sheydakov
Verlag: Springer Berlin Heidelberg
Buch: Generalized Continua as Models for Materials
Print ISBN: 978-3-642-36393-1

Electronic ISBN: 978-3-642-36394-8

Copyright-Jahr: 2013
DOI: https://doi.org/10.1007/978-3-642-36394-8_17

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