Contact problem of elasticity theory for a wedge

Abstract

An exact closed solution of the plane static contact problem of elasticity theory on the impression of a rigid stamp of arbitrary form on an elastic wedge is constructed by the Wiener—Hopf method. Particular cases of plane and parabolic stamps are examined in more detail. For a wedge angle greater than ρ the problem belongs to the class N and the external field must be taken into account for a correct solution. In this case, the nontrivial solution of the corresponding homogeneous problem is constructed and investigated.