Stress analysis of an inclusion layer bonded to an irregularly shaped pore under an edge dislocation or a concentrated load

Pores play an important role in the failure analysis of metal castings. During the solidification process, slag inclusions such as oxides, nitrides and sulfides may form around the pores. This paper provides an analytical solution for an inclusion layer bonded to a square pore under edge dislocation or a concentrated load. Based on the mapping method and analytical continuation theorem, both sliding and climbing forces as well as interfacial stresses induced by a dislocation or concentrated load are obtained in a closed form. The results indicate that an inclusion layer with a larger (or smaller) shape factor would result in a stable equilibrium position near (or far from) the interface. When the shape factor decreases, the stable equilibrium position moves away from the interface if the stiffness of the inclusion layer increases. For a concentrated load, the interfacial stresses increased with the elastic mismatch and corner sharpness. These findings could improve the compatibility between the matrix and inclusion layer in metallurgical manufacturing systems.