Analytical model of double-lap bonded joints subjected to impact loads

International audienceA stress analysis of adhesively bonded double lap joints having half-infinite lengths was performed using a half-closed-form approach. The approach is based on an improved shear-lag model. Thus normal deformations and shear deformations were considered inside the adherends. Differential equations governing adherends-interfaces displacements were extracted from the dynamic equilibrium equations. Laplace transform was used to solve the differential equations. The stress variation with respect to time at the edge of the adhesive layer was investigated. Transfer function between applied load and adhesive edge shear stress was extracted. Impulse response was deduced using the inverse Laplace׳s transform of the transfer function. Impulse response appeared to be a zero-order Bessel function. The indicial response of the joint can be calculated by the integration of the impulse response over time. The model was validated for different substrates׳ materials