To evaluate the inplane and antiplane T-stresses easily by a suitable application of the conservation integral without solving the boundary value problem, the relation between the J-based mutual integral and the T-stresses is derived explicitly for anisotropic bimaterial subject to inplane and antiplane loading. The universal relation between the T-stresses of the specimens with and without a sandwiched layer is also derived and it holds true regardless of the specimen size and loading condition if the layer thickness is sufficiently small. In order to show its usefulness, some basic problems for interface crack including the interaction of an interface crack and a point singularity are solved. In particular, a detailed computation is illustrated for antiplane T-stress, in which the inplane and antiplane deformations are decoupled. (C) 2001 Elsevier Science Ltd. All rights reserved.