Quasi-equilibrium modeling of the toughness transition during semibrittle cleavage

H. Huang, William W Gerberich

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A discretized dislocation model is used to assess the quasi-state equilibrium, crack tip emission and shielding of near-tip dislocations for Mo single crystals. As in a previous study for Fe-3 wt% Si, based partly on the Rice-Thomson criterion [12], this model leads to a failure prediction for Mo both consistent with the absence of an expected dislocation free zone and the observed toughness transition over the test temperature range. While cleavage is the failure mode in the semibrittle regimes of these two b.c.c. crystals, KIc values vary from 5 up to 60 MPa-m1/2 with an increase in test temperature. The equilibrium solution for both metals from the discrete dislocation model is reconnected with ordinary continuum theory through the CTOD and plastic zone size, as well as Weertman's hypothesis [19] of the nonredundant/redundant dislocation decomposition for near-tip microplasticity. The similarities in zeroth order successive approximation solutions derived for these two metals, with very disparate elastic anisotropies, suggests that such approaches may also be applicable to semibrittle ordered intermetallics.

Original languageEnglish (US)
Pages (from-to)639-647
Number of pages9
JournalActa Metallurgica Et Materialia
Issue number3
StatePublished - Mar 1994

Bibliographical note

Funding Information:
Acknowledgements--The authors would like to thank M. Ellis of Oxford University for sharing his experimental results with us and for discussions with P. Hirsch of Oxford and H. Vehoff of Max Planck Institut, Dusseldorf. This work was supported by the Department of Energy, Basic Sciences Division, Grant DE-FE02-84ER 45141 (WWG) and the University of Minnesota Corrosion Center, with sponsorship of the U.S. Department of Energy, Basic Energy Sciences, Materials Science Division under Grant DE-FG02-88ER 45337 (HH). The Minnesota Supercom-purer Institute is also acknowledged for the grant of computer time.


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