Numerical modeling of the ductile-brittle transition |
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Authors: | A. Needleman V. Tvergaard |
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Affiliation: | (1) Division of Engineering, Brown University, RI, 02912 Providence, U.S.A. |
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Abstract: | Numerical studies of the ductile-brittle transition are described that are based on incorporating physically based models of the competing fracture mechanisms into the material's constitutive relation. An elastic-viscoplastic constitutive relation for a porous plastic solid is used to model ductile fracture by the nucleation and subsequent growth of voids to coalescence. Cleavage is modeled in terms of attaining a temperature and strain rate independent critical value of the maximum principal stress over a specified material region of the order of one or two grain sizes. Various analyses of ductile-brittle transitions carried out within this framework are discussed. The specimens considered include the Charpy V-notch test and cracked specimens under mode I or mode II loading conditions. The fracture mode transition emerges as a natural outcome of the initial-boundary value problem solution. This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | Plasticity fracture finite element modeling ductile-brittle transitions micromechanics. |
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