An orthotropic half-plane carrying a transverse uniaxial stress and loaded perpendicularly on the free edge by a rigid flat punch is considered. Governing integral equations are stated for the unknown contact stresses between the punch and the half-plane. An analytical solution for contact with complete adhesion and a numerical solution with limiting friction, according to the Coulomb friction law, are presented. Besides distributions of contact stresses the numerical results show relations between vertical load, applied uniform foundation stress, coefficient of Coulomb friction, and size of the slip region.

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