Aa. Groenwold et N. Stander, AN EFFICIENT 4-NODE 24-DOF THICK SHELL FINITE-ELEMENT WITH 5-POINT QUADRATURE, Engineering computations, 12(8), 1995, pp. 723-747
A 4-node flat shell quadrilateral finite element with 6 degrees of fre
edom per node, denoted QC5D-SA, is presented. The element is an assemb
ly of a modification of the drilling degree of freedom membrane presen
ted by Ibrahimbegovic ct al., and the assumed strain plate element pre
sented by Bathe and Dvorkin. The part of the stiffness matrix associat
ed with in-plane displacements and rotations is integrated over the el
ement domain by a modified 5-point reduced integration scheme, resulti
ng in greater efficiency without the sacrifice of rank sufficiency. Th
e scheme produces a soft higher order deformation mode which increases
numerical accuracy. A large number of standard benchmark problems are
analyzed. Some examples show that the effectiveness of a previously p
roposed ''membrane locking correction'' technique is significantly red
uced when employing distorted elements. However, the element is shown
to be generally accurate and in many cases superior to existing elemen
ts.