SEDL / STP / STP743-EB / STP28800S

Final Stretch Model of Ductile Fracture

Wnuk, MP
Visiting scholar and professorvisiting professor, Faculty of Technology and Metallurgy, University of BelgradeThe Technological Institute, Northwestern University, Evanston, Ill.

Sedmak, S
Visiting scholar and professorvisiting professor, Faculty of Technology and Metallurgy, University of BelgradeThe Technological Institute, Northwestern University, Evanston, Ill.

Pages: 14    Published: Jan 1981

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Abstract

The differential equations defining the material resistance developed during the early stages of a ductile fracture process are derived from the concept of “final stretch.” The model suggests a certain near-tip distribution of displacements associated with a quasi-static Mode I crack such that the resulting strains are logarithmically singular at the crack tip.

The final results, which are illustrated by the diagrams of J-resistance curves, are equivalent to analogous data obtained by other researchers on the basis of the incremental plasticity theory. Similarities between the present results and the solutions due to Paris and co-workers as well as the most recent data obtained by Shih and co-workers are pointed out.