Optimal scaling laws for ductile fracture derived from strain-gradient microplasticity

We perform an optimal-scaling analysis of ductile fracture in metals. We specifically consider the deformation up to failure of a slab of finite thickness subject to monotonically increasing normal opening displacements on its surfaces. We show that ductile fracture emerges as the net outcome of two...

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Bibliographic Details
Published inJournal of the mechanics and physics of solids Vol. 62; pp. 295 - 311
Main Authors Fokoua, Landry, Conti, Sergio, Ortiz, Michael
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.01.2014
Subjects
Allowances
Ductile fracture
Fracture mechanics
Hardening
Mathematical analysis
Multiscale analysis
Optimal scaling
Optimization
Plasticity
Scaling laws
Strain-gradient plasticity
Variational models
Optimal scaling
Strain-gradient plasticity
Ductile fracture
Variational models
Multiscale analysis
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Summary:We perform an optimal-scaling analysis of ductile fracture in metals. We specifically consider the deformation up to failure of a slab of finite thickness subject to monotonically increasing normal opening displacements on its surfaces. We show that ductile fracture emerges as the net outcome of two competing effects: the sublinear growth characteristic of the hardening of metals and strain-gradient plasticity. We also put forth physical arguments that identify the intrinsic length of strain-gradient plasticity and the critical opening displacement for fracture. We show that, when Jc is renormalized in a manner suggested by the optimal scaling laws, the experimental data tends to cluster—with allowances made for experimental scatter—within bounds dependent on the hardening exponent but otherwise material independent.
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ISSN:0022-5096
DOI:10.1016/j.jmps.2013.11.002