A semi-analytical plane hybrid stress element method is developed from the
3D Hellinger-Reissner principle for hollow bodies of moderate thickness tha
t possess symmetry of geometry, material properties, loading and constraint
conditions to its middle plane. Exact elastic plane stress solution is ext
ended to the assumed distribution of stress and displacement fields. Tracti
on free conditions on the external and internal surfaces that are perpendic
ular to the axis passing through the thickness direction are satisfied prec
isely. The element possesses good convergence characteristics and its resul
ts can be compared well with the results of simple and complex engineering
problems reported in the literature. (C) 2001 Elsevier Science Ltd. All rig
hts reserved.