A layerwise finite element for multilayers with imperfect interfaces

This article is aimed at proposing a new development of a layer-wise 2D finite-element method for multilayers considering the laminated plate as a superposition of Reissner plates coupled by interfacial stresses. Here, despite the 2D description of the laminates, the interfaces show a particular behavior, elastic or elastoplastic (Von-Mises criterion). The finite element formulation is derived and an eight-node multiparticle element is detailed. The application example of a double lap joint with an elastoplastic adhesive is then considered. The adhesive layer is modeled as an interface. The loading scheme is a load-unload-load one. Interface shear and normal stresses are compared to 3D finite element results. A good agreement between both techniques is observed, particularly for the prediction of the history of the slip between the two adherends and the plastic strains in the adhesive.

► An application of a Pagano’s type layer-wise stress approach is described. ► Despite the 2D description of the laminate, elastoplastic interfaces are involved in the modelling. ► A comparison with a 3D finite element elastoplastic solution for a double lap joint is made. ► Prediction of slip history between adherends is shown for complex loading.