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A multi-scale numerical method for the study of size-Scale effects in ductile fracture

Corrado, Mauro and Paggi, Marco and Carpinteri, Alberto A multi-scale numerical method for the study of size-Scale effects in ductile fracture. Metals, 4 (3). pp. 428-444. ISSN 2075-4701 (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.

Item Type: Article
Identification Number: 10.3390/met4030428
Subjects: T Technology > TJ Mechanical engineering and machinery
Research Area: Computer Science and Applications
Depositing User: Prof Marco Paggi
Date Deposited: 09 Oct 2014 09:32
Last Modified: 09 Oct 2014 09:32
URI: http://eprints.imtlucca.it/id/eprint/2306

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