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A degradation function consistent with Cocks–Ashby porosity kinetics

Abstract

The load carrying capacity of ductile materials degrades as a function of porosity, stress state and strain-rate. The effect of these variables on porosity kinetics is captured by the Cocks–Ashby model; however, the Cocks–Ashby model does not account for material degradation directly. This work uses a yield criteria to form a degradation function that is consistent with Cocks–Ashby porosity kinetics and is a function of porosity, stress state and strain-rate dependence. Approximations of this degradation function for pure hydrostatic stress states are also explored.

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Notes

  1. a typographic error in Marin and McDowell (1996) gives the leading term as (2 / 8).

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Acknowledgements

The author would like to thank Nathan Barton for his input and discussions regarding this work. This work was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA27344 (LLNL-JRNL-730381).

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Correspondence to John A. Moore.

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Moore, J.A. A degradation function consistent with Cocks–Ashby porosity kinetics. Int J Fract 209, 231–234 (2018). https://doi.org/10.1007/s10704-017-0247-6

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  • DOI: https://doi.org/10.1007/s10704-017-0247-6

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