Abstract
The behavior of singularities of wedges and junctions has been very popular issues. Pageau and his colleagues (1996) used the Airy's stress function to formulate the stress and displacement fields for the n-material wedges and junctions. They proposed a standardize generalized stress intensity factor (SIF) to characterize the stress field. Based on their concept, it was found that `over specification' of two SIFs occurs. Using complex variable technique, the `over specified' condition arisen from the traditional definition of complex SIF was disclosed in this paper. A new definition of complex SIF was also introduced to additionally consider the conjugate part of singularity and resolve the unconformity between the stress expansion and the traditional definition. By using the new definition, the mixed characteristics of SIFs for the multi-material wedges and junctions can be clarified while complex singularity can be degenerated to real singularity.