An asymptotic derivation of a general imperfect interface law for linear multiphysics composites

M. Serpilli (1) , R. Rizzoni (2) , Frédéric Lebon (3) , Serge Dumont (4)

1 Department of Civil and Building Engineering, and Architecture [Ancona]
2 Engineering Department [Ferrara]
3 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
4 IMAG - Institut Montpelliérain Alexander Grothendieck

The paper is concerned with the derivation of a general imperfect interface law in a linear multiphysics framework for a composite, constituted by two solids, separated by a thin adhesive layer. The analysis is performed by means of the asymptotic expansions technique. After defining a small parameter ε, 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 ε; the hard interface model, in which the constitutive properties are independent of ε; the rigid interface model, in which they depend on 1 ε. The asymptotic expansion method is reviewed by taking into account the effect of higher order terms and by defining a general multiphysics interface law which comprises the above aforementioned models.

Mots clés: asymptotic analysis; interfaces; multiphysics materials

Domaines: Mécanique des solides [physics.class-ph]

M. Serpilli, R. Rizzoni, Frédéric Lebon, Serge Dumont. An asymptotic derivation of a general imperfect interface law for linear multiphysics composites. International Journal of Solids and Structures, 2019, 180-181, pp.97-107. ⟨10.1016/j.ijsolstr.2019.07.014⟩. ⟨hal-02336669⟩