The detachment of an elastic strip containing absolutely rigid inclusions from a support (Q1314064)

A problem of the theory of elasticity for a strip containing rigid inclusions is considered. The faces of the strip are supported without friction by a rigid base and the inclusions are loaded by forces perpendicular to the faces of the strip, which leads to the appearance of a section of the strip detached from one of the supporting surfaces, in which case the problem becomes a strictly mixed one. We use the method based on the construction of matrix-valued Green's functions corresponding to simpler classical boundary value problems for canonical domains with subsequent reduction of the boundary value problem for non- canonical domains to the solution of integral equations.