Galinʹs problem for a periodic system of stamps with friction and adhesion

A periodic system of plane stamps is pressed onto an elastic half-plane by a central vertical force P applied to each stamp. The contact area for each stamp is divided into an inner adhesive region and two outer slipping regions, where Coulombʹs law of dry friction applies. The system of singular integral equations on two di€erent segments, which corresponds to the problem, is equivalent to a Wiener±Hopf equation for a two-components vector, for which an analytical constructive solution is obtained. E€ective formulae for numerical computations for the contact stresses are presented. The e€ect of friction and of the distance between the stamps on the length of sliding zones is investigate