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Metals 2014, 4(3), 428-444; https://doi.org/10.3390/met4030428

A Multi-Scale Numerical Method for the Study of Size-Scale Effects in Ductile Fracture

1
Politecnico di Torino, Department of Structural, Geotechnical and Building Engineering, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
2
IMT Institute for Advanced Studies Lucca, Piazza San Francesco 19, 55100 Lucca, Italy
*
Author to whom correspondence should be addressed.
Received: 9 June 2014 / Revised: 30 July 2014 / Accepted: 18 August 2014 / Published: 27 August 2014
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Abstract

The use of a stress-strain constitutive relation for the undamaged material and a traction-separation cohesive crack model with softening for cracking has been demonstrated to be an effective strategy to predict and explain the size-scale effects on the mechanical response of quasi-brittle materials. In metals, where ductile fracture takes place, the situation is more complex due to the interplay between plasticity and fracture. In the present study, we propose a multi-scale numerical method where the shape of a global constitutive relation used at the macro-scale, the so-called hardening cohesive zone model, can be deduced from meso-scale numerical simulations of polycrystalline metals in tension. The shape of this constitutive relation, characterized by an almost linear initial branch followed by a plastic plateau with hardening and finally by softening, is in fact the result of the interplay between two basic forms of nonlinearities: elasto-plasticity inside the grains and classic cohesive cracking for the grain boundaries. View Full-Text
Keywords: cohesive zone model; plasticity; finite element method; limit analysis; ductile fracture; polycrystalline materials cohesive zone model; plasticity; finite element method; limit analysis; ductile fracture; polycrystalline materials
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Corrado, M.; Paggi, M.; Carpinteri, A. A Multi-Scale Numerical Method for the Study of Size-Scale Effects in Ductile Fracture. Metals 2014, 4, 428-444.

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