When an eigenvalue λ, related to the singular stress field, is a single root, the corresponding stresses appear as γλ-1 as γ→0, where γ is distance measured from a singular point. However, if the eigenvalue λ is a multiple root, the corresponding stresses may be of type γλ-1 log γ as γ→0. In order to take the logarithmic stress singularity into account, this paper presents a new method for analysis of the singular stress field at the vertex of a composite wedge. A condition is derived for stress singularities of a form γλ-1(log γ)m as γ→0, where m is zero or a positive integer.
