Galin's 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 regi ons, where Coulomb's law of dry friction applies. The system of singular in tegral equations on two different segments, which corresponds to the proble m, is equivalent to a Wiener-Hopf equation for a two-components vector, for which an analytical constructive solution is obtained. Effective formulae for numerical computations for the contact stresses an presented. The effec t of friction and of the distance between the stamps on the length of slidi ng zones is investigated. (C) 2000 Elsevier Science Ltd. All rights reserve d.