Using the Abaqus software, the goal of this work is the numerical study of the effects of the static loads on the mechanical behavior, the damage and the strength of the aluminum/aluminum and composite/composite assemblies, very much used in the naval field. For an elastic behavior of the adhesive, it is also a question of modeling the damage of the substrates in composite. This paper presents a numerical investigation on the behavior of structural adhesive bounding under quasi-static loading. It is shown the effects of the adhesive thickness, superposition length and staking lay up on the strength of the adhesively bonded joints under static tensile. A comparison between the use of aluminum and composite laminate substrates is presented and an attempt was made to find out the damage kinetic.