This paper presents a general solution for determining the stress singulari
ty order in an anisotropic wedge. The order depends on the wedge angle, bou
ndary conditions and material properties. The characteristic equation, whic
h governs the eigenvalues, is established from the Lekhnitskii's complex fu
nction method. A domain of one-quarter circle is proposed in which the cont
ours of singularity order are plotted for all fiber orientations and a cert
ain wedge angle. The numerical results agree well with the open literature
for special cases. To reduce to strength of stress singularity at the wedge
corner, the fiber direction corresponding to minimum singularity order can
be determined. (C) 2001 Elsevier Science Ltd. All rights reserved.