Article (Scientific journals)
An Adaptive Multiscale Method for Quasi-static Crack Growth
Pattabhi, Budarapu; Robert, Gracie; Bordas, Stéphane et al.
2013In Computational Mechanics
Peer reviewed
 

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Keywords :
multiscale; adaptivity; refinement
Abstract :
[en] This paper proposes an adaptive atomistic-continuum numerical method for quasi-static <br />crack growth. The phantom node method is used to model the crack in the continuum region <br />and a molecular statics model is used near the crack tip. To ensure self-consistency in the bulk, <br />a virtual atom cluster is used to model the material of the coarse scale. The coupling between <br />the coarse scale and ne scale is realized through ghost atoms. The ghost atom positions are <br />interpolated from the coarse scale solution and enforced as boundary conditions on the ne <br />scale. The ne scale region is adaptively enlarged as the crack propagates and the region behind <br />the crack tip is adaptively coarsened. An energy criterion is used to detect the crack tip loca- <br />tion. The triangular lattice in the ne scale region corresponds to the lattice structure of the <br />(111) plane of an FCC crystal. The Lennard-Jones potential is used to model the atom-atom <br />interactions. The method is implemented in two dimensions. The results are compared to pure <br />atomistic simulations; they show excellent agreement.
Disciplines :
Mechanical engineering
Author, co-author :
Pattabhi, Budarapu;  Bauhaus Univesity of Weimar, > Institute of Structural Mechanics
Robert, Gracie;  University of Waterloo > Department of Civil and Environmental Engineering
Bordas, Stéphane ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Timon, Rabczuk
Language :
English
Title :
An Adaptive Multiscale Method for Quasi-static Crack Growth
Publication date :
2013
Journal title :
Computational Mechanics
ISSN :
0178-7675
Publisher :
Springer Science & Business Media B.V., New York, United States - New York
Peer reviewed :
Peer reviewed
Focus Area :
Computational Sciences
European Projects :
FP7 - 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery
Funders :
CE - Commission Européenne [BE]
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