Inter-facial shear effects of ultra-thin film on laminated glass plate dynamical behaviour

This paper deals with a numerical investigation for the analysis of a laminated glass plate composed of two elastic skins joined with an adhesive ultra-thin film. Hence, a new dynamic model of laminated glass is developed using the Kirchhoff plate theory and taking into account the shear stress at the two skin's interface. The formulation is based on the theory that introduces a specific behaviour law for an ultra-thin film that expresses the discontinuity of displacements at the interface. Besides, the dynamic model is established in an appropriate dimensionless form including the effects of ultra-thin film stiffness and without taking into account the film thickness. The finite-element (FE) method is used for the discretization of the energy functional, which gives a linear matrix system after minimization. A modal approach is adopted to investigate the laminated glass vibratory behaviour. The eigenmodes of the laminated plate are determined. Dynamic response is then obtained by modal recombination. The validation of the new laminate FE model is achieved by comparing the laminated plate results with data obtained from the literature. Numerical results show the reduced vibration's amplitude of a laminated glass plate with ultra-thin film when compared with the one that did not take into account the shear inter-facial stress for the two cases of isotropic and orthotropic materials. Also, the influence of the ultra-thin film stiffness on the dynamical behaviour of the structure is presented and analysed.