Stress analysis of a semi-infinite plate with a thin rigid body

Abstract Stress analysis of a semi-infinite plate with an oblique thin rigid body is carried out as a mixed boundary value problem. The complex variable method and a rational mapping function of a sum of fractional expressions are used. A closed solution is obtained for the shape, which is represented by a rational mapping function. Stress distribution, stress singularity at the tip of the thin rigid body, the resultant moment over the thin rigid body, and the rotation angle are investigated.