A CERTAIN MIXED BOUNDARY-VALUE PROBLEM FOR A BIMATERIAL INTERFACE

This paper presents the solution of a certain mixed problem for a bima terial interface containing a cut. In the plane, elastostatic analysis displacements are prescribed on the lower edge of the cut and externa l stresses are applied on its upper edge. Using complex variable techn iques, analytical expressions are derived for all physical quantities, including the compliance of the anchor, the stress field, and the str ess singularities at its edges. Selected numerical values are presente d for these quantities as functions of elastic mismatch. The developed solution can be used to model a vertically loaded rigid anchor, unbon ded on one side, embedded along the interface between two elastic mate rials.