eprintid: 2648
rev_number: 7
eprint_status: archive
userid: 71
dir: disk0/00/00/26/48
datestamp: 2015-03-27 10:40:25
lastmod: 2015-03-27 12:54:13
status_changed: 2015-03-27 10:40:25
type: article
metadata_visibility: show
creators_name: Yang, Shih-Wei
creators_name: Budarapu, Pattabhi R.
creators_name: Mahapatra, D. Roy
creators_name: Bordas, Stéphane P.A.
creators_name: Zi, Goangseup
creators_name: Rabczuk, Timon
creators_id: 
creators_id: pattabhi.budarapu@imtlucca.it
creators_id: 
creators_id: 
creators_id: 
creators_id: 
title: A meshless adaptive multiscale method for fracture 
ispublished: pub
subjects: TA
divisions: CSA
full_text_status: none
keywords: Meshless methods;
Multiscale;
Fracture; Molecular dynamics 
note: Special Issue Polymeric Composites 
abstract: Abstract The paper presents a multiscale method for crack propagation. The coarse region is modelled by the differential reproducing kernel particle method. Fracture in the coarse scale region is modelled with the Phantom node method. A molecular statics approach is employed in the fine scale where crack propagation is modelled naturally by breaking of bonds. The triangular lattice corresponds to the lattice structure of the (111)plane of an {FCC} crystal in the fine scale region. The Lennard–Jones potential is used to model the atom–atom interactions. The coupling between the coarse scale and fine scale is realized through ghost atoms. The ghost atom positions are interpolated from the coarse scale solution and enforced as boundary conditions on the fine scale. The fine scale region is adaptively refined and coarsened as the crack propagates. The centro symmetry parameter is used to detect the crack tip location. The method is implemented in two dimensions. The results are compared to pure atomistic simulations and show excellent agreement. 
date: 2015-01
publication: Computational Materials Science
volume: 96, B
publisher: Elsevier
pagerange: 382 - 395
refereed: TRUE
issn: 0927-0256
official_url: http://www.sciencedirect.com/science/article/pii/S0927025614006168
citation:   Yang, Shih-Wei and Budarapu, Pattabhi R. and Mahapatra, D. Roy and Bordas, Stéphane P.A. and Zi, Goangseup and Rabczuk, Timon  A meshless adaptive multiscale method for fracture.  Computational Materials Science, 96, B.  382 - 395.  ISSN 0927-0256      (2015)