Kröner's formula for dislocation loops revisited

In this communication, our aim is to respond to open questions which arose from a previous publication (Van Goethem, N., 2011. Strain incompatibility in single crystals: Kröner's formula revisited. Journal of Elasticity 103 (1), 95-111) where a new Kröner's formula was proved for a set of skew dislocation and disclination lines: (i) Does the new formula hold for a dislocation loop? (ii) Which new terms appear due to the line curvature? In this work we validate by complete calculation of distributional type a general Kröner's formula for two classical examples of dislocation loops.