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National Advisory Committee for Aeronautics, Report - A Small Deflection theory for Curved Sandwich Plates

A small—deflection theory that takes into account deformations
due to transcerse shear is presented for the elastic—behavior
analysis 'of orthotropic plates of constant cylindrical curvature
with considerations of buckling included. The theory is
applicable primarily to sandwich construction.

The usual sandwich plate as used in aircraft construction
consists of a light-weight, low—stiffness core material bonded
or riveted between two high—stiffness cover sheets. The
elastic behavior of such plates under loading cannot be
analyzed by conventional plate and shell theories in general
since these theories neglect deformations due to transverse
shear, an effect which may be of great importance in sand—
wich construction.

lVIany authors have considered transverse shear deflections
in analyzing the elastic behavior of flat sandwich plates by
means of small—deflection theories (see, for example,
references 1 to 4). Most of this work has been concerned
with sandwich plates of the isotropic type (for example,
Metalite, cellular-cellulose-acetate core). In reference 3,
however, sandwich plates of the orthotropic type are also
considered (for example, corrugated core).

The treatment of curved sandwich plates in the
literature has not been as general as that accorded flat
sandwich plates, although several specific studies of the
curved isotropic sandwich plate have been published. These
studies have covered. (a) simply supported, slightly curved
isotropic sandwich plates under compressive end loading
(reference 1), (b) axially symmetric buckling of a simply
supported isotropic sandwich cylinder in compression
(reference 1), and (c) a nonbuckling small—deflection theory
for isotropic sandwich shells which takes into account not
only deflections due to shear but also the effects of core
compression normal to the faces (reference 5).

The need for a general theory for curved sandwich plates
which is applicable to orthotropic as well as isotropic types
and which includes both nonbuckling and buckling effects has
led to the development of the theory presented in this report.