An accurate determination of interlaminar transversal stresses in composite multilayered plates, especially near free-edge, is of great importance in the study of inter-ply damage modes, mainly in the initiation and growth of delamination. In this paper, interlaminar stresses are determined by layer-wise mixed finite element model. Each layer is analyzed as an isolated one where the displacement continuity is ensured by means of Lagrange multipliers (which represent the statics variables). This procedure allows the authors to work with any single plate model, obtaining the interlaminar stresses directly without loss of precision. The FSDT (first shear deformation theory) with transverse normal strain effects included is assumed in each layer, but Lagrange polynomials are used to describe the kinematic instead of Taylor's polynomial functions of the thickness coordinates, as is common. This expansion allows the authors to pose the interlaminar displacements compatibility simpler than the second one. The in-plane domain of the plate is discretized by four-node quadrilateral elements, both to the field of displacement and to the Lagrange multipliers. The mixed interpolation of tensorial components technique is applied to avoid the shear-locking in the finite element model. Several examples were carried out and the results have been satisfactorily compared with those available in the literature.
It is presented a buckling analysis of multilayered plates by the finite elements method with mixed unknowns (displacement and rotations, and transverse interlaminar stresses). In the mixed model, each layer is analyzed as a single plate, where the continuity of displacement is ensured by Lagrange multipliers which represent static variables. This procedure is easy to be implemented from the computational point of view. A methodology to solve the eigen problem is presented based on the inverse iteration method. The model is verified successfully with results obtained by other authors.
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