Sl. Di et H. Rothert, A SOLUTION OF LAMINATED CYLINDRICAL-SHELLS USING AN UNCONSTRAINED 3RD-ORDER THEORY, Composite structures, 32(1-4), 1995, pp. 667-680
An unconstrained third-order shear deformation theory is presented for
the analysis of laminated anisotropic cylindrical shells. Based on th
e realistic through-thickness distribution of the in-plane displacemen
ts, a zig-zag function is used to approximate the piece-wise nature of
the displacements. The zero-shearing condition on the laminate surfac
es and continuous conditions for the transverse shear stresses on the
inter-laminar surfaces have been considered for the final stresses cal
culation, the displacement functions remain to be unconstrained. This
theory is very useful for the finite element analysis because it reque
sts only C-0 continuity for the assumed displacement fields. By compar
ing with three-dimensional elasticity theory for laminated orthotropic
cylindrical shell, the performance of the present theory is verified.
The problems solved in this paper illustrate that the present theory
is very accurate for the thin and moderately thick shells.