Stresses around hypotrochoidal hole in infinite isotropic plate

• Complex variable method is used to find stresses around hypotrochoidal hole.
• Effect of various geometrical parameters on the stress distribution is highlighted.
• Charts are presented to find SCF for different geometrical conditions.

A solution to obtain stresses around hypotrochoidal cutouts in infinite isotropic plate subjected to in-plane loading is presented. The Muskhelishvili׳s complex variable approach is adopted to find stresses and stress intensity factors for different shaped hypotrochoidal holes. The effect of hole geometry and loading conditions on stress pattern is presented. Some of the results are compared with the existing literature and found to be in good agreement.