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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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James Robert Rice (born December 3, 1940) is an American engineer, scientist, geophysicist, [1] [2] and Mallinckrodt Professor of Engineering Sciences and Geophysics at the Harvard John A. Paulson School of Engineering and Applied Sciences.
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First, J does not give the energy release rate in small-scale yielding except under certain special cases. Those cases include monotonic loading in mode III or of pure power-law hardening materials. J is not path-independent for monotonic mode I and mode II loading of elastic-plastic materials, so only a contour very close to the crack tip ...