Modeling of the contact interaction between a nonuniform foundation and rough punch

Contact problem for a double foundation and a rigid punch is considered. It is assumed that the surface nonuniformity of the thin upper layer and the shape of the die base can be described by complex rapidly changing functions. A projection method is developed which allows one to obtain the solution of the equation with high accuracy that cannot be done by known methods. An algorithm of numerical-analytical calculation is described. A model example is presented.