The continuous distribution of screw dislocations for a single‐layered double‐ended pileup in a soft lamella embedded between two rigid phases is studied. Explicit expressions are obtained for the distribution function, the number of dislocations, the relative displacement, and the strain energy. The stress concentration at the tips is calculated by using Moutier's theorem. When compared with a similar case in a homogeneous medium under the same stress, all these quantities are smaller by about 30%. The present solution is applicable also to the case of a slit crack under an antiplane shear stress.