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Research Papers

Extended High-Order Theory for Curved Sandwich Panels and Comparison With Elasticity

[+] Author and Article Information
Nunthadech Rodcheuy

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

Yeoshua Frostig

Professor
Civil and Environmental Engineering,
Technion Israel Institute of Technology,
Haifa 32 000, Israel

George A. Kardomateas

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

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received March 27, 2017; final manuscript received April 21, 2017; published online June 13, 2017. Editor: Yonggang Huang.

J. Appl. Mech 84(8), 081002 (Jun 13, 2017) (16 pages) Paper No: JAM-17-1167; doi: 10.1115/1.4036612 History: Received March 27, 2017; Revised April 21, 2017

A new one-dimensional high-order sandwich panel theory for curved panels is presented and compared with the theory of elasticity. The theory accounts for the sandwich core compressibility in the radial direction as well as the core circumferential rigidity. Two distinct core displacement fields are proposed and investigated. One is a logarithmic (it includes terms that are linear, inverse, and logarithmic functions of the radial coordinate). The other is a polynomial (it consists of second and third-order polynomials of the radial coordinate), and it is an extension of the corresponding field for the flat panel. In both formulations, the two thin curved face sheets are assumed to be perfectly bonded to the core and follow the classical Euler–Bernoulli beam assumptions. The relative merits of these two approaches are assessed by comparing the results to an elasticity solution. The case examined is a simply supported curved sandwich panel subjected to a distributed transverse load, for which a closed-form elasticity solution can be formulated. It is shown that the logarithmic formulation is more accurate than the polynomial especially for the stiffer cores and for curved panels of smaller radius.

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References

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Kardomateas, G. A. , Rodcheuy, N. , and Frostig, Y. , 2017, “ Elasticity Solution for Curved Sandwich Beams/Panels and Comparison With Structural Theories,” AIAA J. (in press).
Kardomateas, G. A. , Rodcheuy, N. , and Frostig, Y. , 2017, “ First Order Shear Deformation Theory Variants for Curved Sandwich Panels,” AIAA J. (submitted).

Figures

Grahic Jump Location
Fig. 1

Definition of the geometry for the sandwich curved beam

Grahic Jump Location
Fig. 2

(a) Radial stress distribution through the core (case 1), (b) radial stress distribution through the core (case 2), (c) radial stress distribution through the core (case 3), and (d) radial stress distribution through the core (case 4)

Grahic Jump Location
Fig. 3

Shear stress distribution through the core

Grahic Jump Location
Fig. 4

The hoop stress σθθ distribution through the face sheets

Grahic Jump Location
Fig. 5

(a) The transverse displacement distribution through the span of the curved panel, (b) the transverse (radial) displacement distribution through the thickness (case 3), and (c) the transverse (radial) displacement distribution through the thickness (case 4)

Grahic Jump Location
Fig. 6

The circumferential (along −θ) displacement distribution through the thickness

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