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A criterion for ductile fracture based on continuum modeling of energy release rates

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Abstract

A continuum model of ductile fracture initiation is presented which is based on consideration of the work done on the system sufficient to cause release of the binding energy necessary for crack formation. The fracture criterion is posed for plastic materials with no pre-existing crack as a critical state reached when the energy release rate of the bulk system is balanced by the energy release rate associated with the fractured medium. Two fracture modes are considered which are commonly addressed in fracture mechanics: mode I crack opening perpendicular to the fracture plane and mode II shear rupture tangential to the fracture plane. A study of the use of the criterion for a plastic material with power law hardening is examined and compared with published experimental data and empirical criteria.

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Acknowledgments

The authors wish to express their gratitude to the American Bureau of Shipping for support of this research and to the Turkish National Education Ministry for financial assistance provided to the second author.

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Authors and Affiliations

  1. Department of Naval Architecture and Marine Engineering, University of Michigan, Ann Arbor, MI, 48109-2145, USA

    Dale G. Karr & Fuzuli Ağrı Akçay

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  1. Dale G. Karr
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  2. Fuzuli Ağrı Akçay
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Correspondence to Dale G. Karr.

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Karr, D.G., Akçay, F.A. A criterion for ductile fracture based on continuum modeling of energy release rates. Int J Fract 197, 201–212 (2016). https://doi.org/10.1007/s10704-016-0079-9

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  • DOI: https://doi.org/10.1007/s10704-016-0079-9

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