On J-integral and potential energy variation
Source abstract
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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Research context
OpenAlex topics: Mathematical functions and polynomials · Numerical methods in inverse problems
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References (4)
Show source-provided references
1. Anderson, T. L. (1995). Fracture Mechanics, 2nd edition, CRC Press, Boca Raton.
2. Janssen, M., Zuidema, J. and Wanhill, R. J. H. (2002). Fracture Mechanics, 2nd edition, Delft University Press, Delft, The Netherlands.
3. Kanninen, M. F. and Popelar, C. H. (1985). Advanced Fracture Mechanics, Oxford University Press, Oxford.
4. Rice, J. R. (1968). Mathematical analysis in the mechanics of fracture. Fracture, Vol. 2 (Edited by H. Liebowitz), Academic Press, New York, 191–311.