Abstract
The divergence theorem has been used in a region containing the crack tip to derive the J-integral from the potential energy variation in most fracture mechanics books. Such a derivation is flawed because of the crack tip stress singularity. The present study describes a rigorous and straightforward derivation of the J-integral from the potential energy variation with crack extension by carefully addressing the effect of the crack tip singularity.
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References
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Jin, ZH., Sun, C. On J-integral and potential energy variation. International Journal of Fracture 126, L19–L24 (2004). https://doi.org/10.1023/B:FRAC.0000025304.15035.fc
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DOI: https://doi.org/10.1023/B:FRAC.0000025304.15035.fc