Abstract
A path-independent integral which is denoted by j e , is introduced for the 2-dimensional crack problems in the homogeneous isotropic conductor in which the steady current flows. By utilizing the j e- integral the distributions of the electric potential, current density and the Joule heating rate near the crack tip are derived. It is shown that the j e- integral provides a parameter which dominates the distributions of the electric potential and current density near the crack tip as the square of the amplitude.
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