Résumé
The paper describes the mechanical behavior of a composite constituted by two solids, bonded by a thin adhesive layer in a general multi-physic framework, by employing the asymptotic expansion technique. After defining a small parameter , which will tend to zero, associated with the thickness and the constitutive coefficients of the intermediate layer, we characterize three different limit models and their associated limit problems: the soft interface model, in which the constitutive coefficients depend linearly on ; the hard interface model, in which the constitutive properties are independent of ; the rigid interface model, in which they depend on . The asymptotic expansion method is reviewed by taking into account the effect of higher order terms and by defining a general multi-physic interface law which comprises the above aforementioned models. Moreover, the FEM implementation of the transmission model is presented through a numerical example.