Toward stochastic imperfect interfaces

In this article, we propose two families of models for damaged materials that take uncertainties into account. First, in the context of standard materials, two volume models are proposed. Uncertainties are introduced using the Itô integral. Second, two interface models are proposed. For this, a technique of asymptotic developments is proposed, allowing interface models to be derived from previous volume models. Finally, we present some numerical results obtained for academic examples in order to understand the behaviour of the models and the influence of material parameters.