Vg. Piskunov et al., Rational transverse shear deformation higher-order theory of anisotropic laminated plates and shells, INT J SOL S, 38(36-37), 2001, pp. 6491-6523
A rational transverse shear deformation higher-order theory of multilayered
anisotropic plates and shallow shells is developed for the solution of sta
tical problems for two possible cases: cross-ply and angle-ply laminates. T
he theory developed differs from existing ones by three features. Firstly,
it is based on the hypotheses which are fully tied to the physical and mech
anical characteristics of the anisotropic layers. Secondly, the theory is b
uilt on a rational level of difficulty, i.e. it does not add complexity in
comparison with other known theories developed for more simple laminated st
ructure. Thirdly, the hypotheses take directly into account the influence o
f external subject to both normal and tangential loads.
Relying on the specific approach for the derivation of hypotheses all the r
elations of the stress-strain state of anisotropic laminated shells are obt
ained. Using the variational approach the system of governing differential
equations and corresponding boundary conditions are derived.
The analytical solution for this system is given, and both special cases ar
e stated, namely, cross-ply and angle-ply laminates, for which such solutio
n exists, The results of the calculations are given and compared with exact
three-dimensional and some approximate solutions available in the literatu
re. The influence of the laminated structure upon the exactness of results
and the characteristics of stress-strain state is studied and discussed. (C
) 2001 Elsevier Science Ltd. All rights reserved.