Contact Interaction between Surface Nonuniform Bases and Regular Systems of Rigid Punches

We study plane problems on the interaction of surface nonuniformageing viscoelastic bases with regular finite systems of rigid flat punches. One has to take into account the age and structure nonuniformity of solids due to additive manufacturing processes. Such nonuniformities can be described by rapidly changing and even discontinuous functions. The surface nonuniformity of a coating usually results from a process in which the coating is continuously deposited to the main layer and also from surface treatment of already applied coatings (laser treatment, ion implantation, etc.). Surface nonuniformity can also be caused by the use of various materials when manufacturing the coating.The class of problems in question arises in particular when dealing with erection of structure complexes on bases and foundations, when determining the admissible tilt angle of objects erected in close proximity to each other, or when reinforcing engineering or civil engineering structures.