eprintid: 3457
rev_number: 8
eprint_status: archive
userid: 56
dir: disk0/00/00/34/57
datestamp: 2016-04-19 08:08:19
lastmod: 2016-04-19 08:08:19
status_changed: 2016-04-19 08:08:19
type: article
metadata_visibility: show
creators_name: Paggi, Marco
creators_name: Wriggers, Peter
creators_id: marco.paggi@imtlucca.it
creators_id: 
title: Node-to-segment and node-to-surface interface finite elements for fracture mechanics
ispublished: pub
subjects: Q1
divisions: CSA
full_text_status: public
keywords: Nonlinear fracture mechanics; Interface finite elements; Interface cracks; Finite element discretization; Cohesive zone model
abstract: The topologies of existing interface elements used to discretize cohesive cracks are such that they can be used to compute the relative displacements (displacement discontinuities) of two opposing segments (in 2D) or of two opposing facets (in 3D) belonging to the opposite crack faces and enforce the cohesive traction–separation relation. In the present work we propose a novel type of interface element for fracture mechanics sharing some analogies with the node-to-segment (in 2D) and with the node-to-surface (in
3D) contact elements. The displacement gap of a node belonging to the finite element discretization of one crack face with respect to its projected point on the opposite face is used to determine the cohesive tractions, the residual vector and its consistent linearization for an implicit solution scheme. The following advantages with respect to classical interface finite elements are demonstrated: (i) non-matching finite element discretizations of the opposite crack faces is possible; (ii) easy modeling of cohesive cracks with non-propagating crack tips; (iii) the internal rotational equilibrium of the interface element is assured. Detailed examples are provided to show the usefulness of the proposed approach in nonlinear fracture mechanics problems.
date: 2016
date_type: published
publication: Computer Methods in Applied Mechanics and Engineering
volume: 300
publisher: Elsevier
pagerange: 540-560
id_number: 10.1016/j.cma.2015.11.023
refereed: TRUE
issn: 0045-7825
official_url: http://dx.doi.org/10.1016/j.cma.2015.11.023
funders: European Research Council
projects: ERC Starting Grant CA2PVM
citation:   Paggi, Marco and Wriggers, Peter  Node-to-segment and node-to-surface interface finite elements for fracture mechanics.  Computer Methods in Applied Mechanics and Engineering, 300.  pp. 540-560.  ISSN 0045-7825      (2016)  
document_url: http://eprints.imtlucca.it/3457/1/ArXiv.pdf