  We consider a thin soft adhesive interphase between dissimilar elastic media.
The material of the intermediate layer is modelled by elasto-plastic
pressure-sensitive constitutive law. An asymptotic procedure, together with a
novel formulation of the deformation theory of plasticity for
pressure-sensitive materials, is used in order to derive nonlinear transmission
conditions for the corresponding imperfect zero-thickness interface. A FEM
analysis of the original three-phase structure is performed to validate the
transmission conditions for the simplified bimaterial structure.
