Bending of Laminated Composite Beams by a Multi-Layer Finite Element Based on a Higher-Order Theory

In this study, a layered beam element based on a higher-order theory is presented for bending analysis of laminated composites. This is an N-layer element which contains (9N+7) degrees-of-freedom. The element stiffness matrix is derived by means of the Lagrange equations. Deflections and stresses in laminated beams with different end conditions and stacking order are calculated numerically. The results are compared with those available in the literature to show the accuracy of element.