A nonlocal cohesive zone model for finite thickness interfaces - Part I

Mathematical formulation and validation with molecular dynamics

authored by: Marco Paggi, Peter Wriggers
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.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Politecnico di Torino (POLITO)
Type: Article
Journal: Computational materials science
Volume: 50
Pages: 1625-1633
No. of pages: 9
ISSN: 0927-0256
Publication date: 08.01.2011
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computer Science(all), Chemistry(all), Materials Science(all), Mechanics of Materials, Physics and Astronomy(all), Computational Mathematics
Electronic version(s): https://doi.org/10.1016/j.commatsci.2010.12.024 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{833ad9d9fa9047098a18c591821cbbf0,
title = "A nonlocal cohesive zone model for finite thickness interfaces - Part I: Mathematical formulation and validation with molecular dynamics",
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.",
keywords = "Damage mechanics, Finite thickness interfaces, Molecular dynamics, Multiscale approach, Nonlinear fracture mechanics, Nonlocal cohesive zone model",
author = "Marco Paggi and Peter Wriggers",
note = "Funding information: The first author would like to thank the Alexander von Humboldt Foundation for supporting his research fellowship at the Institut f{\"u}r Kontinuumsmechanik, Leibniz Universit{\"a}t Hannover (Hannover, Germany) from February 1, 2010 to January 31, 2011.",
year = "2011",
month = jan,
day = "8",
doi = "10.1016/j.commatsci.2010.12.024",
language = "English",
volume = "50",
pages = "1625--1633",
journal = "Computational materials science",
issn = "0927-0256",
publisher = "Elsevier",
number = "5",
}