The elastic potentials for coplanar interaction between an infinitesimal prismatic dislocation loop and a circular crack for transverse isotropy

This paper gives a closed-form evaluation in terms of elementary functions for the title problem of coplanar dislocation-crack interaction. The two cases of an external and internal crack are considered and the potential for each is found for an isotropic material. The similarity between isotropy and transverse isotropy is discussed in the beginning sections and is used to write the corresponding potential for a transversely isotropic material from the isotropic result.