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A meshless adaptive multiscale method for fracture

Yang, Shih-Wei and Budarapu, Pattabhi R and Mahapatra, Roy D and Bordas, Stephane PA and Zi, Goangseup and Rabczuk, Timon (2015) A meshless adaptive multiscale method for fracture. In: COMPUTATIONAL MATERIALS SCIENCE, 96 (B, SI). pp. 382-395.

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Official URL: http://dx.doi.org/ 10.1016/j.commatsci.2014.08.054

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. (C) 2014 Elsevier B. V. All rights reserved.

Item Type: Journal Article
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Additional Information: Copyright for this article belongs to the ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Keywords: Meshless methods; Multiscale; Fracture; Molecular dynamics
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 20 Dec 2014 06:45
Last Modified: 20 Dec 2014 06:45
URI: http://eprints.iisc.ernet.in/id/eprint/50499

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