Summaries of results ======================= The objectives of this test have been achieved: * The aim is to show the feasibility of taking into account the rubbing contact on the lips of the crack with the continuous method adapted to the X- FEM framework. Only the case of a crack completely crossing the structure has been considered (interface). * The cases where the interface follows the element border (:math:`\theta =0°`) and where the interface intersects the elements (:math:`\theta =26.56°` in :math:`\mathrm{3D}` and :math:`\theta =30°` in :math:`\mathrm{2D}`) have been validated. * The method was validated in :math:`\mathrm{2D}` for :math:`\text{P1P1A}` and :math:`\text{P2P1}` and in :math:`\mathrm{3D}` for :math:`\text{P1P1A}`. * The method has been validated both with the augmented Lagrangian method and with the penalized method for the treatment of contact/friction.