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An adaptive multiscale method for quasi-static crack growth

  • 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.

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Document Type:Article
Author: Pattabhi Ramaiah Budarapu, Robert Gracie, Stéphane Pierre Alain Bordas, Timon RabczukORCiDGND
DOI (Cite-Link):https://doi.org/10.1007/s00466-013-0952-6Cite-Link
Parent Title (English):Computational Mechanics
Date of Publication (online):2017/08/24
Year of first Publication:2014
Release Date:2017/08/24
Publishing Institution:Bauhaus-Universität Weimar
Institutes:Fakultät Bauingenieurwesen / Institut für Strukturmechanik
First Page:1129
Last Page:1148
GND Keyword:Angewandte Mathematik; Strukturmechanik
Dewey Decimal Classification:600 Technik, Medizin, angewandte Wissenschaften / 620 Ingenieurwissenschaften
500 Naturwissenschaften und Mathematik / 510 Mathematik / 519 Wahrscheinlichkeiten, angewandte Mathematik
BKL-Classification:31 Mathematik / 31.80 Angewandte Mathematik
50 Technik allgemein / 50.31 Technische Mechanik
Licence (German):License Logo Copyright All Rights Reserved - only metadata