It is presented a path independent integral formulation for computation of dynamic T-stresses in a two-dimensional body with a stationary crack. For solution of the crack problem the boundary element method is used. The uniqueness of the BEM formulation of a general crack problem is made by the system of displacement and traction equations on the outer boundary of body and the crack surface, respectively. The mutual M-integral expressed through dynamic j- integrals provides sufficient information for determining T-stresses on the base of found relation between the M-integral and T-stresses. The integral representation of the T-stress is presented in the time-domain and the Laplace transform-domain too. The boundary layer and displacement field methods are used to test the accuracy of the suggested integral method. Numerical results are given for the rectangular plate with a central crack.

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