On the flat interaction of foundations and punches with complex forms of contacting surfaces

Current work is devoted to solving the problem of the action of an arbitrary system of punches on a coated base in the case of plane strain. It is assumed that all the punches are different and their shapes and coating thickness can be described by complex rapidly changing functions. In this case the classical methods are ineffective and it is necessary to use a special approach, which consists in highlighting the features of the individual terms and factors and further application of the A.V. Manzhirov generalized projection method.