A path-independent integral for 2-dimensional cracks in homogeneous isotropic conductive plate |
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| Authors: | Masumi Saka Hiroyuki Ab |
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| Affiliation: | Department of Mechanical Engineering, Tohoku University, Sendai 980, Japan |
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| Abstract: | A path-independent integral which is denoted by je, is introduced for the 2-dimensional crack problems in the homogeneous isotropic conductor in which the steady current flows. By utilizing the je-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 je-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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