Indentation of a punch into an elastic strip with friction and adhesion

In the contact interaction between elastic bodies with friction taken into account, the contact region splits, as a rule, into adhesion and sliding regions {xc[1]}. Contact with adhesion and sliding was first considered by L. A. Galin {xc[2]} in the problem of indentation of a punch with a rectilinear foundation into an elastic half-plane, who obtained an approximate solution of this problem [{xc2}, {xc3}]. Galin's problem was further studied in [{xc4}-{xc9}]. The paper considers an analogue of Galin's problem for a strip, namely, the problem of contact with adhesion and sliding between a punch with a rectilinear foundation and a strip one of whose sides is fixed. TheWiener-Hopfmethod is used to reduce the system of integral equations of the problem to an infinite systemof algebraic equations. The case of a half-infinite punch was considered earlier {xc[10]}. An asymptotic solution was obtained in [{xc11}-{xc13}].