eprintid: 3798
rev_number: 8
eprint_status: archive
userid: 56
dir: disk0/00/00/37/98
datestamp: 2017-09-26 07:59:20
lastmod: 2017-09-26 07:59:20
status_changed: 2017-09-26 07:59:20
type: article
metadata_visibility: show
creators_name: Paggi, Marco
creators_name: Reinoso, José
creators_id: marco.paggi@imtlucca.it
creators_id: 
title: Revisiting the problem of a crack impinging on an interface: a modeling framework for the interaction between the phase field approach for brittle fracture and the interface cohesive zone model
ispublished: pub
subjects: T1
divisions: CSA
full_text_status: public
note: Crack penetration or deflection at an interface; Bi-material systems; Phase field approach to fracture; Cohesive interface; Finite element method
abstract: The problem of a crack impinging on an interface has been thoroughly investigated in the last three decades due to its important role in the mechanics and physics of solids. In the current investigation, this problem is revisited in view of the recent progresses on the phase field approach of brittle fracture. In this concern, a novel formulation combining the phase field approach for modeling
brittle fracture in the bulk and a cohesive zone model for pre-existing adhesive interfaces is herein proposed to investigate the competition between crack penetration and deflection at an interface. The model, implemented within the finite element method framework using a monolithic fully implicit solution strategy, is applied to provide a further insight into the understanding of the role of model parameters on the above competition. In particular, in this study, the role of the fracture toughness ratio between the interface and the adjoining bulks and of the characteristic fracture-length scales of the dissipative models is analyzed. In the case of a brittle interface, the asymptotic predictions based on linear elastic fracture mechanics criteria for crack penetration, single
deflection or double deflection are fully captured by the present method. Moreover, by increasing the size of the process zone along the interface, or by varying the internal length scale of the phase field model, new complex phenomena are emerging, such as simultaneous crack penetration and deflection and the transition from single crack penetration to deflection and penetration with
subsequent branching into the bulk. The obtained computational trends are in very good agreement with previous experimental observations and the theoretical considerations on the competition and interplay between both fracture mechanics models open new research perspectives for the simulation and understanding of complex fracture patterns.
date: 2017-04-13
date_type: published
publication: Computer Methods in Applied Mechanics and Engineering
volume: 321
publisher: Elsevier
pagerange: 145-172
id_number: 10.1016/j.cma.2017.04.004
refereed: TRUE
issn: 0045-7825
funders: European Research Council
projects: ERC Starting Grant CA2PVM (GA 306622)
citation:   Paggi, Marco and Reinoso, José  Revisiting the problem of a crack impinging on an interface: a modeling framework for the interaction between the phase field approach for brittle fracture and the interface cohesive zone model.  Computer Methods in Applied Mechanics and Engineering, 321.  pp. 145-172.  ISSN 0045-7825      (2017)  
document_url: http://eprints.imtlucca.it/3798/1/ManuscriptRevisedCMAME.pdf