A variable kinematic doubly-curved MITC9 shell element for the analysis of laminated composites

The present article considers the linear static analysis of composite shell structures with double-curvature geometry by means of a shell finite element with variable through-the-thickness kinematic. The refined models used are grouped in the Unified Formulation by Carrera (CUF) and they permit the distribution of displacements and stresses along the thickness of the multilayered shell to be accurately described. The shell element has nine nodes and the mixed interpolation of tensorial components (MITC) method is used to contrast the membrane and shear locking phenomenon. The governing equations are derived from the principle of virtual displacement (PVD) and the finite element method (FEM) is employed to solve them. Cross-ply spherical shells with simply-supported edges and subjected to bi-sinusoidal pressure are analyzed. Various laminations, thickness ratios, and curvature ratios are considered. The results, obtained with different theories contained in the CUF, are compared with both the elasticity solutions given in the literature and the analytical solutions obtained using the CUF and the Navier's method. From the analysis, one can conclude that the shell element based on the CUF is very efficient and its use is mandatory with respect to the classical models in the study of composite structures. Finally, shells with different lamination, boundary conditions, and loads are also analyzed using high-order layer-wise theories in order to provide FEM benchmark solution

Over de stabiliteit van het elastisch evenwicht

Mechanical Maritime and Materials Engineerin

C.B. Biezeno (March 2, 1888 - September 5, 1975)

Obituary of prof. C.B. Biezeno, written by his former PhD candidate and his later colleague prof. W.T. Koiter.Mechanical, Maritime and Materials Engineerin

A consistent first approximation in the general theory of thin eleastoc shells: Part 1, foundations and linear theory

Applied SciencesLab.voor Toegepaste Mechanica der Technische Hogeschoo