Hrh. Kabir et Am. Alkhaleefi, AN EFFICIENT 3-NODE TRIANGULAR ELEMENT TO STUDY THE RESPONSE OF COUPLED BENDING-TWISTING EFFECTS FOR SYMMETRICALLY LAMINATED PLATES, Kuwait journal of science & engineering, 24(1), 1997, pp. 45-57
A new efficient three-node triangular plate element with three degrees
of freedom-one transverse displacement and two rotations-at each node
suitable for a bending-twisting response of moderately-thick and thin
symmetrically laminated composite plates is presented. The deformatio
n formulation of the plate element is based on Reissner and Mindlin's
theory that incorporates the effects of transverse shear deformations.
The element normally shows a severe shear locking effect in thin plat
e situations using isoparametric interpolation functions with full int
egration scheme. A constant transverse shear strain criterion is now i
mplemented in its formulation along with a recently developed transver
se shear strain correction expression to circumvent such locking effec
ts. The element shows a robustness for regular and cross-diagonal tria
ngular mesh configurations in both moderately-thick and thin situation
s. The element shows fast convergence, and remains stable for the thre
e-point integration scheme. For the purpose of illustration, the numer
ical results are presented for symmetrically angle-ply laminated simpl
y-supported and fully-clamped edge plates that produce bending-twistin
g coupling. The results are compared with recently available double Fo
urier series and generalized Wavier's - based analytical solutions, an
d a well-established finite element solution.