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The J-integral represents a way to calculate the strain energy release rate, or work per unit fracture surface area, in a material. [1] The theoretical concept of J-integral was developed in 1967 by G. P. Cherepanov [2] and independently in 1968 by James R. Rice, [3] who showed that an energetic contour path integral (called J) was independent of the path around a crack.
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This method is naturally extended to continuous domains. [2]The method can be also extended to high-dimensional images. [6] If the corners of the rectangle are with in {,}, then the sum of image values contained in the rectangle are computed with the formula {,} ‖ ‖ where () is the integral image at and the image dimension.
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