The order of the elastic stress singularity developed either at the apex of an equal angle biwedge or at the vertex of a composite half plane is studied for the case when the two wedges adhere along their common interface according to Coulomb’s law of friction. The other two faces of the wedges are considered free from tractions in the vicinity of the apices of both types of biwedges. The study uses the well-known theory of complex variables, and the numerical results obtained for some special geometrical configurations and particular values of the friction coefficient are presented in Dundurs’ parallelograms which cover all physically interesting material combinations of the two wedges.

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