The Stroh formalism for two-dimensional deformations of anisotropic elastic solids has been extended to include the effects of heat conduction. The formalism is employed here to study stress singularities in anisotropic elastic bimaterials with the presence of interface cracks. It is known that, without the effects of heat conduction, there are three singularities of the formr−½r−½+γwhere r is the radial distance from the crack tip and γ is a positive constant that depends on the mismatch of elasticity constants of the two materials. With the inclusion of heat effects, there is arδksingularity in which —1 < δk< 0 depends on the heat conduction coefficientskij. The special case δk= —½, which occurs in particular whenkijin the two materials are identical or when the Onsager reciprocal relations are invoked so thatkij=kij, is studied here. We show that therδksingularity may convert into ar−½(ln r) singularity. The conditions for the existence ofr−½(ln r)singularity are presented explicitly.