The role of transverse stretching in the delamination fracture of softcore sandwich plates

Abstract

• The first and second-order plate theories are complemented with transverse stretching. • The thickness locking was eliminated by applying a simplified stiffness matrix. • The transverse stretching effect involves a significant improvement of the first-order theory. • The comparison of analytical and 3D finite element results was carried out. • The energy release rates are calculated by the 3D J-integral. This paper presents the semi-layerwise analysis of structural sandwich plates with through-width delamination. The mechanical model of rectangular plates is based on the method of four equivalent single layers and the system of exact kinematic conditions. An important improvement compared to a previous formulation is the consideration of linear and quadratic stretching term in the transverse displacement component. Three different delamination scenarios are investigated: core-core failure, face-core delamination and the face-face failure. By applying the first- and second-order laminated plate theories and the principle of virtual work the governing equations are derived. The equilibrium equations are solved under Lévy type boundary conditions using the state-space approach. Solutions for the mechanical fields are provided and compared to 3D finite element results. The energy release rate distributions along the delamination front are also determined using the J-integral. Although the stress resultants by transverse stretching do not influence directly the J-integral, the results indicate that this effect improves the accuracy of the model in general, and substantially influences the results of the first-order plate theory in the case of the face-face delamination.