A note on the derivation of the J-integral from potential energy
Source abstract
Abstract
In a recent work Z.-H. Jin and C. T. Sun (2004) presented a derivation of the J-integral from the potential energy of a system, which is thought to circumvent previous cumbersome or flawed derivations. Two items in this work call for discussion; one is related to the effect of a singularity upon different types of contour integrals and the other to the strain energy difference term.
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Research context
OpenAlex topics: Elasticity and Material Modeling · Experimental and Theoretical Physics Studies · Fluid Dynamics Simulations and Interactions
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References (3)
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1. Eshelby, J. D. (1970). Energy relations and the energy-momentum tensor in continuum mechanics. Inelastic Behaviour of Solids. (Ed. M. F. Kanninen). McGraw-Hill, New York, 77?115.
2. Jin, Z.-H., Sun, C. T. (2004). On J-integral and potential energy variation. International Journal of Fracture 126, L19?L24.10.1023/B:FRAC.0000025304.15035.fc ↗
3. Rice, J. R. (1968). Mathematical analysis in the mechanics of fracture. Fracture. Vol. 2 (Ed. H. Liebowitz), Academic Press, New York, 191?311.