The quasistatic rate-independent evolution of a delamination in the so-called mixed mode, i.e. distinguishing opening (Mode I) from shearing (Mode II), devised in [45], is rigorously analysed as far as existence of the so-called energetic solutions concerns. The model formulated at small strains uses a delamination parameter of Fr´emond’s type combined with a concept of an interface plasticity, and is associative in the sense that the dissipative force driving the delamination has a potential which depends in a 1-homogeneous way only on rates of internal parameters.
A sample numerical simulation documents that this model can really produce mixity-sensitive delamination.