This paper treats a more complete solution to the logarithmic spiral problem. Some changes in the basic dislocation theory are first accomplished to generalize the form of functions involved. The resulting equations are then applied to the logarithmic spiral dislocation at a hole in a large plate. A complete solution of pertinent stresses is obtained. Data are calculated to obtain the required dislocation relation along the logarithmic spiral cut, circumferential stress at the hole, and maximum shear stress along the dislocation cut.
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Kana, Daniel D.. "A Study of a Plane Dislocation Problem." (1960). https://digitalrepository.unm.edu/me_etds/121