eprintid: 1995
rev_number: 6
eprint_status: archive
userid: 56
dir: disk0/00/00/19/95
datestamp: 2013-12-02 12:05:06
lastmod: 2014-10-09 09:20:24
status_changed: 2013-12-02 12:05:06
type: article
metadata_visibility: show
creators_name: Paggi, Marco
creators_name: Wriggers, Peter
creators_id: marco.paggi@imtlucca.it
creators_id: 
title: A nonlocal cohesive zone model for finite thickness interfaces – Part I: Mathematical formulation and validation with molecular dynamics 
ispublished: pub
subjects: TJ
divisions: CSA
full_text_status: none
keywords: Nonlocal cohesive zone model; Damage mechanics; Nonlinear fracture mechanics; Finite thickness interfaces; Molecular dynamics;
    Multiscale approach
abstract: A nonlocal cohesive zone model is derived taking into account the properties of finite thickness interfaces. The functional expression of the stress–separation relationship, which bridges the gap between continuum damage mechanics and nonlinear fracture mechanics, depends on the complex failure phenomena affecting the material microstructure of the interface region. More specifically, the shape of the nonlocal cohesive zone model is found to be dependent on the damage evolution. On the other hand, damage is in its turn a function of dissipative mechanisms occurring at lower length scales, such as dislocation motion, breaking of interatomic bonds, formation of free surfaces and microvoids, that are usually analyzed according to molecular dynamics. Hence, the relationship intercurring between the parameters of the damage law and the outcome of molecular dynamics simulations available in the literature is also established. Therefore, the proposed nonlocal cohesive zone model provides also the proper mathematical framework for interpreting molecular dynamics-based stress–separation relationships that are typically nonlocal, since they always refer to a finite number of atom layers. 
date: 2011
date_type: published
publication: Computational Materials Science
volume: 50
number: 5
publisher: Elsevier
pagerange: 1625 - 1633
id_number: 10.1016/j.commatsci.2010.12.024
refereed: TRUE
issn: 0927-0256
official_url: http://www.sciencedirect.com/science/article/pii/S0927025610006956
citation:   Paggi, Marco and Wriggers, Peter  A nonlocal cohesive zone model for finite thickness interfaces – Part I: Mathematical formulation and validation with molecular dynamics.  Computational Materials Science, 50 (5).  1625 - 1633.  ISSN 0927-0256      (2011)