M. Disciuva, A 3RD-ORDER TRIANGULAR MULTILAYERED PLATE FINITE-ELEMENT WITH CONTINUOUS INTERLAMINAR STRESSES, International journal for numerical methods in engineering, 38(1), 1995, pp. 1-26
Based on a refined third-order shear deformation plate theory recently
proposed by the author, a three-node, fully conforming, multilayered
anisotropic plate element of arbitrary triangular shape is developed i
n this paper. The element incorporates 10 nodal d.o.f., namely the two
in-plane displacements, the two shear rotations, the transverse displ
acement and its first and second derivatives, thus giving a total of 3
0 d.o.f. The formulation includes extension, bending and transverse sh
ear deformation states; moreover, it fulfils a priori the geometric an
d stress continuity conditions at the interfaces, and it requires only
five generalized displacements to describe the kinematics of the plat
e deformation. The formulated plate element is assessed for its perfor
mance comparing its predictions either with exact solutions from the p
late model or with other approximate two-dimensional solutions.