M. Ganapathi et al., A C-DEGREES 8-NODE MEMBRANE-SHEAR-BENDING ELEMENT FOR GEOMETRICALLY NONLINEAR (STATIC AND DYNAMIC) ANALYSIS OF LAMINATES, International journal for numerical methods in engineering, 39(20), 1996, pp. 3453-3474
A new eight-nodeC(0) membrane-plate quadrilateral finite element is pr
esented to analyse static and dynamic moderately large deflections of
moderately thick laminates. The finite element is based on the Reissne
r-Mindlin plate theory and on previous works for the shear-bending (pl
ate) part, which has been described in a previous paper, Reference 10.
In the paper, the novelty is in the way of improving isoparametric me
mbrane response without adding zero-energy modes, and the moderately l
arge deflection static and dynamic analysis of laminates based on von
Karman's assumptions. Finally, some numerical simulations are presente
d in statics and in dynamics for laminates, including buckling analysi
s and membrane-plate coupling effects. Among a large variety of finite
elements which have been proposed during the two last decades, intere
st in the present element lies in its simplicity implementation, its e
fficiency without any correction factors and spurious energy modes, an
d (also) the fact it is fully standard from an engineering view point.