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Computational Mechanics
Erschienen in: Computational Mechanics 6/2014

01.06.2014 | Review Paper

An adaptive multiscale method for quasi-static crack growth

verfasst von: Pattabhi R. Budarapu, Robert Gracie, Stéphane P.A. Bordas, Timon Rabczuk

Erschienen in: Computational Mechanics | Ausgabe 6/2014

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Abstract

This paper proposes an adaptive atomistic- continuum numerical method for quasi-static crack growth. The phantom node method is used to model the crack in the continuum region and a molecular statics model is used near the crack tip. To ensure self-consistency in the bulk, a virtual atom cluster is used to model the material of the coarse scale. 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 enlarged as the crack propagates and the region behind the crack tip is adaptively coarsened. An energy criterion is used to detect the crack tip location. The triangular lattice in the fine scale region corresponds to the lattice structure of the (111) plane of an FCC crystal. The Lennard-Jones potential is used to model the atom–atom interactions. The method is implemented in two dimensions. The results are compared to pure atomistic simulations; they show excellent agreement.
Vorheriger Artikel Extended particle difference method for weak and strong discontinuity problems: part II. Formulations and applications for various interfacial singularity problems
Nächster Artikel Analyzing elastoplastic large deformation problems with the complex variable element-free Galerkin method

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Metadaten
Titel
An adaptive multiscale method for quasi-static crack growth
verfasst von
Pattabhi R. Budarapu
Robert Gracie
Stéphane P.A. Bordas
Timon Rabczuk
Publikationsdatum
01.06.2014
Verlag
Springer Berlin Heidelberg
Erschienen in
Computational Mechanics / Ausgabe 6/2014
Print ISSN: 0178-7675
Elektronische ISSN: 1432-0924
DOI
https://doi.org/10.1007/s00466-013-0952-6

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