J. Argyris et L. Tenek, HIGH-TEMPERATURE BENDING, BUCKLING, AND POSTBUCKLING OF LAMINATED COMPOSITE PLATES USING THE NATURAL-MODE METHOD, Computer methods in applied mechanics and engineering, 117(1-2), 1994, pp. 105-142
In the present study, the behaviour of laminated composite plates unde
r thermally induced loads is examined. A natural thermoelastic theory
is developed, based on a linear through-the-thickness temperature vari
ation. The material properties are assumed independent of temperature,
but this assumption in no way restricts the generality of the formula
tion and the developed computer program. The theory is implemented on
a model three-node triangular facet finite element which accounts for
transverse shear deformation. The underlying principles of the develop
ed methodology lie in the Natural Mode method which is a physically in
spired and mathematically consistent method which was conceived with t
he intention of analyzing large and complex structures. The triangular
element neccesitates the computation of a 12 x 12 natural stiffness m
atrix, and a 12 x 1 thermal (initial) load vector, which makes it prob
ably one of the most inexpensive shell elements available. The effects
of large displacements are included in our theory through the geometr
ical stiffness. In this regard, an Eulerian scheme conceived for the s
olution of geometrically nonlinear thermoelastic deformation is discus
sed. The methodology is validated with numerical examples which show t
he response of multilayered composite plates on thermally or thermomec
hanically induced bending, buckling, and postbuckling. All composite p
lates examined have shown remarkable resistance against high-temperatu
re.