eprintid: 2306 rev_number: 7 eprint_status: archive userid: 56 dir: disk0/00/00/23/06 datestamp: 2014-10-09 09:32:08 lastmod: 2014-10-09 09:32:08 status_changed: 2014-10-09 09:32:08 type: article metadata_visibility: show creators_name: Corrado, Mauro creators_name: Paggi, Marco creators_name: Carpinteri, Alberto creators_id: mauro.corrado@polito.it creators_id: marco.paggi@imtlucca.it creators_id: title: A multi-scale numerical method for the study of size-Scale effects in ductile fracture ispublished: pub subjects: TJ divisions: CSA full_text_status: public 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. date: 2014-08-27 date_type: published publication: Metals volume: 4 number: 3 publisher: MDPI pagerange: 428-444 id_number: 10.3390/met4030428 refereed: TRUE issn: 2075-4701 official_url: http://dx.doi.org/10.3390/met4030428 citation: 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) document_url: http://eprints.imtlucca.it/2306/1/metals-04-00428.pdf