Technical Briefs

Three-Dimensional Elasticity Solution for Sandwich Plates With Orthotropic Phases: The Positive Discriminant Case

[+] Author and Article Information
George A. Kardomateas

School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150

J. Appl. Mech 76(1), 014505 (Nov 05, 2008) (4 pages) doi:10.1115/1.2966174 History: Received November 16, 2007; Revised May 24, 2008; Published November 05, 2008

A three-dimensional elasticity solution for rectangular sandwich plates exists only under restrictive assumptions on the orthotropic material constants of the constitutive phases (i.e., face sheets and core). In particular, only for negative or zero discriminant of the cubic characteristic equation, which is formed from these constants (case of three real roots). The purpose of the present paper is to present the corresponding solution for the more challenging case of positive discriminant, in which two of the roots are complex conjugates.

Copyright © 2009 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 1

Definition of the geometrical and loading configuration for the sandwich plate

Grahic Jump Location
Figure 2

Transverse displacement, W, at the top face-sheet and at y=b∕2 as a function of x for a=b=10htot

Grahic Jump Location
Figure 3

Transverse displacement, W, at the top face-sheet and at y=b∕2 as a function of x for a=b=50htot



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