A quasi-conforming triangular laminated composite shell element based on a refined first-order theory (Q1315905)

A ``quasi-conforming'' triangular laminated shell element based on a refined first-order shear deformation theory is presented. The Hu-Washizu variational principle, involving strain and displacement fields as variables, with stresses being considered as Lagrange multipliers, is used to develop the laminate composite shell element. Both strains and displacements are discretized in the element, while displacements alone are discretized at the boundary. The inter-element \(C^ 1\) continuity is satisfied a posteriori in a weak form. Due to the importance of rotations and shear deformation in the geometrically nonlinear analyses of shells, seven degrees of freedom per node are chosen, viz. three displacements, two first-derivatives in the in-plane directions of the out-of-plane displacement, and two transverse shear strains at each node. To consider the effect of transverse shear deformation on the global behavior of the laminated composite shell, the Reissner-Mindlin first-order theory is adopted.