Abstract

This paper presents the solution of a certain mixed problem for a bimaterial interfacecontaining a cut. In the plane, elastostatic analysis displacements are prescribed on the lower edge of the cut and external stresses are applied on its upper edge. Using complex variable techniques, analytical expressions are derived for all physical quantities, including the compliance of the anchor, the stress field, and the stress singularities at its edges. Selected numerical values are presented for these quantities as functions of elastic mismatch. The developed solution can be used to model a vertically loaded rigid anchor, unbonded on one side, embedded along the interface between two elastic materials.

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