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 {xc1]}. Contact with adhesion and sliding was first considered by L. A. Galin {xc2]} 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}].