This paper presents a general solution for determining the stress singulari
ty orders of an anisotropic wedge for various boundary conditions. The char
acteristic equation, which governs the singularity orders, is derived from
Lekhnitskii's complex function method. The order depends upon the wedge ang
le, boundary conditions and material properties. The contours of the singul
arity order are plotted in a domain of one-quarter circle for all fiber ori
entations and a certain wedge angle. The numerical results agree well with
the open literature for special simple cases. New results come from studyin
g the contours and provide useful information for composite structural desi
gn. (C) 2001 Elsevier Science Ltd. All rights reserved.